What is the instantaneous velocity of a freely falling object 15 s after it is released from a position of rest? Express your answer to two significant figures and include the appropriate units. v = nothing nothing Request Answer Part B What is its average velocity during this 15- s interval? Express your answer to two significant figures and include the appropriate units. v = nothing nothing Request Answer Part C How far will it fall during this time? Express your answer to two significant figures and include the appropriate units. d = nothing nothing

Answers

Answer 1

Using concepts of acceleration, velocity and position, it is found that:

A. The instantaneous velocity in 15 seconds is of -147 m/s².

B. The average velocity during this interval is of -9.8 m/s.

Cc. The distance fallen during this time is of 1102.5 meters.

Acceleration, velocity and position

The velocity after t seconds is given by the following equation:

v(t) = v(0) + at.

In which:

v(0) is the initial velocity.a is the acceleration.

In the context of this problem, the values of these parameters are given as follows:

v(0) = 0, as the object was released from rest.a = -9.8, as the object is freely falling in the air, hence the acceleration is the gravity.

Then the velocity equation is given as follows:

v(t) = -9.8t.

In 15 seconds, the instantaneous velocity is given as follows:

v(15) = -9.8(15) = -147 m/s².

The average velocity during this interval is of given by the change in velocity divided by the change in time, hence:

v(0) = 0.v(15) = -147.

Average velocity = (-147 - 0)/(15 - 0) = -9.8 m/s.

The position function is the integral of the velocity function, hence:

s(t) = -4.9t². (integral of -9.8t = -9.8t²/2 = -4.9t²).

The distance fallen in 15 seconds is:

s(t) = -4.9(15)² = -1102.5 (1102.5 meters fallen).

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Related Questions

it takes a force of 27.2 n to push a 12.5 kg box horizontally with a constant speed over concrete. what is the coefficient of kinetic friction between the box and the concrete?

Answers

The coefficient of the kinetic friction between the box and the concrete is 0.25. Kinetic friction is the term for the resistance that exists between two systems while they are in contact and moving in relation to one another.

We are constantly surrounded by a force called friction that prevents relative motion between systems in contact while still allowing us to move (which you have discovered if you have ever tried to walk on ice).

Even though friction is a common force, its behavior is actually quite complex and still not fully understood. For any understandings we can obtain, we must heavily rely on observations. We are nevertheless able to deal with its simpler general qualities and comprehend the situations in which it functions.

One of the more basic aspects of friction is that it always occurs in opposition to the motion or attempted motion of the systems with respect to each other and is parallel to the contact surface between the systems. Kinetic friction is the term for the resistance that exists between two systems while they are in contact and moving in relation to one another.

Friction, for instance, makes a hockey puck sliding on ice slower. However, static friction can exist between things while they are immobile; this friction is typically stronger than kinetic friction.

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two competing models attempt to explain the motions and changing brightness of the planets: ptolemy's geocentric model and copernicus' heliocentric model.

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Planetary motion can be explained using epicycles and deferent. When a planet is nearest to Earth, it shines brighter than when it is farther away. The velocity of planets is uniform and they orbit in a circle.

It wasn't always understood that Earth and other planets revolved around the Sun. The Earth is the solar system's center according to the geocentric theory. The ancient Roman and Egyptian astronomer and mathematician Claudius Ptolemy described one of the geocentric conceptions of the solar system. The planets and Sun have circular orbits around the Earth in Ptolemy's geocentric model of the solar system.

Ptolemy was mistaken regarding the shape or course of planetary orbits as well as the fact that Earth is at the center of the solar system. Astronomers and Ptolemy's observations from that era had a flaw and were inconsistent. The courses of the planets in the sky seemed to be broken by epicycles.

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PLEASE HELP
Describe the image below shows part of a sound wave. Describe how this image would change if the wavelength of the sound wave decreased

Answers

According to the given statement Therefore, as the wavelength of a wave decreased, its frequency increased.

What is wavelength used for?

The colour of light is defined by its wavelength, and the frequency of sound is controlled by its wavelength. The visual spectrum of light has wavelengths between about 700 nm (red) to 400 nm (violet). The span of acoustic signal frequencies is roughly 17 mm to 17 m.

How is a wavelength measured?

By measuring the distance between any two identical locations on adjacent waves, the wavelength can always be found. When determining the wavelength of a longitudinal wave, the distance from one compression to the next or from one rarefaction to the next is measured.

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Pls answer this! it's urgent!

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The lorentz Transformation eq enables us to transform velocity from one frame of reference to another, in relative motion with respect to it.

Let S and S' be two inertial frames in relative motion so that S; moves with uniform velocity v to the right. alog the X axis Relative to S

Let u and u' be the velocities of a particle measurd in inertial frames S and S'

so u'=u-v/(1-uv/c^2)

as u=v=c so

u'=u-v

u'=0.500-0.400

u'=0.100c

a golf ball of mass 0.045 kg is hit off the tee at a speed of 37 m/s . the golf club was in contact with the ball for 3.90×10−3 s .find the impulse imparted to the golf ball.

Answers

Impulse  = change in momentum = 0.045 * 36 = 1.62 kg m/sec and Average Force = Impulse / time  = 1.62 / 3.9 x 10^-3    = 415.3 Newton

Impulse forces are those that have a relatively brief duration of action. The term "impulse" refers to the result of the impulsive force and the time at which it acts. I = F dt = dM is the formula for the impulse, which is the change in momentum brought on by the impulsive force.

The momentum of an object will change when a force acts for a predetermined period of time. In other words, an uneven force always accelerates an object, either by making it go faster or slower. When a force opposes an object's motion, the object slows down. When a force is applied in the same direction as an object's motion, the object is accelerated by the force. In either case, a force will alter an object's velocity.

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You’ve searched an area for fingerprints but haven’t found any in your initial visual examination of an area. If you are still curious if there are fingerprints, what would you need to start looking for?

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The kind of finger print that could be used in this case is the latent finger print.

What are finger prints?

The term finger print refers to a unique pattern that could be obtained from the fingers of an individual. The use of the finger prints have been very helpful in the science of forensics as many complex crimes have been solved by the use of this method.

The latent finger prints are the kind of finger prints that are not readily visible thus they could be used when we are dealing with very tough crimes.

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Missing parts;

You’ve searched an area for fingerprints but haven’t found any in your initial visual examination of an area. If you are still curious if there are fingerprints, what would you need to start looking for?

Plastic fingerprints

Latent fingerprints

Visible fingerprints

Abbil fingerprints

proportional reasoning: car a is traveling at twice the speed of car b. they both hit the brakes at the same time and decrease their velocities at the same rate. if car b travels a distance d before stopping, how far does car a travel before stopping?

Answers

If the car b travels a distance d before stopping, the car a travelled a distance of 4D.

The third equation of motion can be used to calculate the distance how far the cars drove before coming to a stop:

Vf2 - Vi2 = 2as

(Vf2 - Vi2)/2a = s

where,

s is the distance covered.

Final Speed = 0 m/s for Vf

Initial Speed = Vi

an is the deceleration rate.

We start by thinking about Car B and giving it a subscript 2:

Vf₂ = 0 m/s (As, automobile finally stops) (As, car finally stops)

s₂ = D

a₂ = - a (due to slowdown) (due to deceleration)

D = (0² - Vi₂²) /(-2a) (-2a)

the equation D = Vi22/2a (1)

We now take Car A into consideration and give it a subscript 1:

Vf₁ = 0 m/s (As, automobile finally stops) (As, car finally stops)

s₁ = ?

a₁ = - a (due to slowdown) (due to deceleration)

Vi₁ = 2 Vi₂ (Since, car A was previously moving at twice speed of car B) (Since, car A was initially traveling at twice speed of car B)

s₁ = (0² - Vi₁²) /(-2a) (-2a)

s₁ = (2Vi₂)²/2a

s₁ = 4 (Vi₂²/2a)

Using formula (1), we arrive at:

s₁ = 4D.

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the eventual fate of our sun is to the eventual fate of our sun is to continue life as a main-sequence star for ever. become a planet. explode as a supernova, leaving no remnant. become a steadily cooling white dwarf.

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The eventual fate of our sun is to become a steadily cooling white dwarf.

A star cannot continue its main sequence forever, because it is consuming an ever-dwindling amount of hydrogen. The main characteristic that determines the fate of a star is its mass. A star at least 10 times more massive than our sun can become a supernova. However, our sun is relatively small and is classified as a yellow dwarf.

Once its hydrogen reserve is expended it will expand, becoming a red giant, and then shrink again, becoming a white dwarf that will continue cooling for trillions of years.

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the hot resistance of a flashlight bulb is 1.90 ω, and it is run by a 1.54-v alkaline cell having a 0.100-ω internal resistance. (a) what current flows?

Answers

The current flow in the circuit is 0.77 A.

What is the current flow in the circuit?

The current flow in the circuit is the rate at which electron flows in the circuit at a given period of time.

Apply the flowing Ohm's law to determine the current flow in the circuit.

I = V/(R + r)

where;

I is the current flown in the circuitV is the voltage of the circuitR is the resistance of the circuitr is the internal resistance of the circuit

I = (1.54) / (1.9 + 0.1)

I = 0.77 A

Thus, the current flow in the circuit is determined by applying Ohm's law equation.

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Can someone help me with this please

Answers

Explanation:

I think it's the last option

A stone hangs by a fine thread from the ceiling, and a section of the same thread dangles from the bottom of the stone. If a person gives a sharp pull on the dangling thread, where is the thread likely to break: below the stone or above it? What if the person gives a slow and steady pull? Explain your answers.​

Answers

Answer: the tension in the upper string will be larger than the tension in the lower string because of the weight of the stone. So, the upper string will break first.

Explaination:

Step 1. Newton’s second law

According to Newton’s second law, the value of the force can be obtained by examining the value of the object’s acceleration and the mass. Its value is altered linearly to the value of the object’s acceleration.

Step 2. Draw a free-body diagram

Here,  is the tension force in the string,  is the mass of the object,  is the gravitational force, and  is the applied force.

Step 3. Application of Newton’s second law

When given a sharp pull, there is a sudden application of force. When a large, sudden force is applied to the bottom of the string, the bottom string will have a large tension. Because of the stone's inertia, the upper string does not experience this large force, and therefore, the bottom string breaks.

If a slow and steady pull is applied, the tension in the bottom string increases. The stone is in equilibrium until the string breaks.

The block will be in equilibrium as long as T = F + mg

Thus, the tension in the upper string will be larger than the tension in the lower string because of the weight of the stone. So, the upper string will break first.

slope stability analysis seeks to quantify the force that drive mass wasting events. gravity pulls hills slope material down hill. what is the primary characteristic that resists this force.

Answers

When a hillside is subjected to gravity, the slope material will tend to move downhill. The force that resists this movement is called "friction."

For example, imagine two objects: A ball and an apple. If you were to slide the apple across the floor towards the ball, they would eventually meet up—but it would take longer than if you pushed them apart and then slid them together again. That extra distance between them is because of their resistance to sliding across each other's surfaces; their friction with each other keeps them from moving too far at once.

If you push hard enough against a surface (like pushing on your couch or chair), then you'll see that pushing harder makes it easier for you to push even harder against the same object (because there's less resistance);

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certain neutron stars are believed to be rotating at about 1 rev/min. if such a star has a radius of 20 km, what is the speed and acceleration of an object on the equator of the star?

Answers

The speed of the object base on its revolution is 40π km/min and the acceleration is zero.

The revolution number of the tire can be calculated by using the circular motion. The revolution number is represented by n. The number of revolutions in a circular motion should follow

n = s / (2πR)

where n is total revolution, s is total distance and R is the radius of circular object.

From the question above, the given parameters are

n = 1

t = 1 min

R = 20 km

By using the given equation, we can calculate the number of total distance

n = s / (2π . R)

1 = s / (2π . 20km)

s = 40π km

Hence, in one minute, the speed of object is

v = s / t

v = 40π / 1

v = 40π km/min

The acceleration is zero because the object moves at a constant speed.

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how does the current through the bulb in a single-bulb circuit compare with the current through the same bulb when it is connected in series with a second bulb?

Answers

Because the single bulb has a greater current, it is brighter. Less current is used with the second bulb since the current is split equally between the two bulbs.

The voltage drop across each bulb is 6.0 V when the light bulbs are linked in parallel, and they all glow as the current passing through them combines to generate the current flowing through the battery. Each component in a series circuit needs to be operational for the circuit to be complete.

Energy from the battery is transferred to the circuit's components by an electric current. Nothing in this procedure "uses up" any current. Negatively charged electrons that are constantly present in the circuit's wires and other components make up the majority of the moving charged particles.

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(b) According to Newton's third law, every force is accompanied by an equal (in magnitude) and opposite (in direction) force. Then, how can a movement ever take place?​

Answers

Newton's Third Law states that " when a body A exerts a force on body B(action), then body B exerts a force of equal magnitude but opposite in direction on body A(reaction)". Because these 2 forces act on different bodies, they are not canceled out and movement of a body can take place.

Movement is possible despite the existence of Newton's third law of motion because the equal in magnitude opposite in direction forces mentioned in the question, do not act on the same body. The two forces (action and reaction) of equal magnitude and opposite direction act on different systems. Hence these forces do not cancel each other out and movement takes place.

For example, consider a swimmer who reaches the edge of a pool. He pushes the pool wall with his feet to move forward into the water, in a direction opposite to the direction in which his feet exert the push on the pool wall. The push exerted by the swimmer on the wall is the action. The pool wall in turn exerts a reaction force of equal magnitude on the swimmer( i.e. in a direction opposite to the direction of the action force).

We see how the action and reaction forces do not act on the same bodies and hence do not get canceled out. Thus movement takes place ( in this swimmer moves in a direction opposite to his push).

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can someone please help im begging
Newton’s first law states that no force is required to maintain motion in a straight line at constant speed. If Newton’s first law is true, why must you continue to pedal a bicycle on a level surface to keep moving?

Answers

The reason for the continued pedaling of the bicycle is to be able to overcome the forces of resistance and friction.

What is the Newton first law?

According to the Newton first law, an object would remain at rest or continue in a state of uniform motion unless is acted upon by an external force. The external force is thus the reason for motion.

We know that a bicycle moves along a straight line. If we are to follow what is said by the Newton's law then we would know that the bicycle should just continue to move once it has started moving. There would thus be no need for the bicycle to be pedaled since it s already moving along a straight line.

But we have to consider the fact that there is friction and air resistance that tends to prevent the motion of the bicycle along the straight line and this is why we must have to keep pedaling the bicycle.

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suppose you want to move the block, but you want to push it with the least horizontal force possible to get it moving. with what horizontal force f must you be pushing the block just before the block begins to move?

Answers

For the block to just start moving the horizontal force must equal the static friction.

F⇔ ↑N↓mg

N = mg

F = [tex]m_{s} n[/tex]

=  [tex]m_{s} mg[/tex]

Frictional forces act parallel to the surface. The frictional force is the force that resists the movement of an object in contact with the surface and acts parallel to the surface with which the object is in contact. When one body moves relative to another, a constant force called friction force begins to act on the sliding surface in the opposite direction of the movement. A moving object has a constant frictional force.

The magnitude of static friction is equal to the magnitude of the applied force. The supporting force F must be greater than the frictional force. The underlying object that requires less force to move is the pencil. Friction: Friction is defined as the force that opposes the motion of objects on contacting surfaces. On the other hand, if you move a large object, it becomes difficult for friction to work.

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A soccer player kicked a ball with a initial velocity of 22 m/s at an angle of 20 degrees above the horizontal. How far did the ball go before returning to the ground? Answer in meters.

Answers

The ball with a initial velocity of 22 m/s and an angle of 20 degrees above the horizontal covers a distance of 31.6 m, before returning to the ground.

R = u² sin 2θ / g

R = Horizontal range

u = Initial velocity

θ = Angle of projectile made with horizontal

g = Acceleration due to gravity

θ = 20°

u = 22 m / s

g = 9.8 m / s²

R = 22² sin 2 ( 20 ) / 9.8

R = 484 * 0.64 / 9.8

R = 31.6 m

Horizontal range of a projectile is the horizontal distance covered by an object in projectile motion.

R = Horizontal component * Total time

R = u cos θ * 2 u sin θ / g

R = u² ( 2 sin θ cos θ ) / g

R = u² sin 2θ / g

Therefore, the ball will go 31.6 m before returning to the ground

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A car travels due east and slows from 20 m/s to 5 m/s. In what direction is the net change in velocity?

Answers

The direction of the net velocity of the car is 15 m/s due west.

What is change in velocity of an object?

The change in velocity of an object is the rate at which the velocity of the object changes with time.

The change in the velocity of the car is calculated as follows;

Δv = vf - vi

where;

vf is the final velocity of the carvi is the initial velocity of the car

The given parameters;

the final velocity = 5 m/sthe initial velocity = 20 m/s

Δv = 5 m/s - 20 m/s

Δv =  - 15 m/s

Thus, the direction of the net velocity of the car will be due west.

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the coefficient of kinetic friction between the ramp and the lower box is 0.441, and the coefficient of static friction between the two boxes is 0.834.

Answers

The greatest static resistance between the upper and lower block is f1max = f 1max = s m 1g = 0.6×2×10 = 12N.

According to Newton's second law of motion, an object's net force must equal the sum of its mass and the acceleration it experiences. In the direction of the net force is where acceleration is moving.

The force of action and reaction between two bodies is equal in magnitude but opposite in direction, according to Newton's third law of motion. The highest frictional force that prevents slippage on a surface is known as the limiting friction force.

The highest static resistance between the lower block and the ground is

f2max

​ =μ s (m 1 +m 2 )g=0.6(2+2)10

=24N

Assumedly, both blocks move to the right at the same speed.

Consequently, (m 1 + m 2 )a = T- μk (m1 + m2)g

or 4a = T - 0.4(2+2)10

or a = T-16 / 4

for upper block, f1 = 2a = T - 16 / 2

For just sliding, f1 = f1max

or T - 16 / 2 = 12

or T - 16 = 24 => T = 40N

The complete question is:

You are lowering two boxes, one on top of the other, down the ramp by pulling on a rope parallel to the surface of the ramp. Both boxes move together at a constant speed of 15.0 cm/s. The coefficient of kinetic friction between the ramp and the lower box is 0.441, and the coefficient of static friction between the two boxes is 0.834. (a) What force do you need to exert to accomplish this? (b) What are the magnitude and direction of the friction force on the upper box?

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Help please I need help and explanation

Answers

Answer:

Choice d  
0 acceleration and velocity of 6 m/s

Explanation:

The smart way to tackle questions like these is by POE or Process of Elimination.

We can easily eliminate choices a, b and c since velocity is definitely not 0

So choice (d)

If we look at the graph we see that between 6s and 8s the graph is flat at a velocity value of 6 m/s. So the answer should be velocity of 6 m/s and since there is no increase in velocity, the acceleration is also 0

However, this can also be proved mathematically
Acceleration = change in velocity/change in time
                     =  Δv/Δt

Δv = 6 - 6 = 0
The velocity is 6 m/s at 8 seconds and also 6 m/s at 6 seconds
Δt = 8 - 6 =2

Acceleration = 0/2 = 0 m/s²

Hence choice d

what is the time constant, in terms of r and c , for the charging circuit if the two capacitors are in series? express your answer in terms of the variables r and c .

Answers

A series RC circuit that receives its power from a DC source will experience transient phenomena when the circuit closes.

Therefore, it follows that the current flow is not constant over time. Beginning high and falling off exponentially, it eventually reaches zero. The current will be (V/R) x (1/e) at the moment when t=RC. The greatest current value is V/R.

1/e is roughly equal to 0.37.

Therefore, RC is the period of time in a series RC circuit during which the current will decrease to about 37% of its maximum value.

To obtain the necessary current vs. time characteristic, etc., the appropriate value of R and C is chosen based on the needs of the electronic circuit.

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I can't understand the interference of the waves​

Answers

Answer:

In physics, interference is a phenomenon in which two waves combine by adding their displacement together at every single point in space and time, to form a resultant wave of greater, lower, or the same amplitude.

Explanation:

effects

chemistry

atom

effects -Constructive interference leads to an increase in the amplitude of the sum wave, while destructive interference can lead to the total cancellation of the contributing waves.

chemistry -An interference is a substance, other than the assayed material, that can be measured by the chosen analytical method or that can prevent the assayed material from being measured. Interferences cause erroneous analytical results

atom-When those two electrons come together and they are in phase with each other, constructive interference occurs. They won't overlap completely; these are atoms and they take up space. However, they will be able to sit pretty close to each other, sort of smushing their electrons together.

A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are µs = 0.67 and µk = 0.57, respectively. The acceleration of gravity is 9.8 m/s 2 . What is the frictional force acting on the 17 kg mass? Answer in units of N.

Answers

The frictional force acting on the 17 kg mass is 111.62 N.

What is frictional force?

Friction is the force that resists motion when the surface of one object comes in contact with the surface of another.

This type of force resist the motion of two surfaces that are in contact.

Mathematically, the formula for frictional force is given as;

Ff = µsN

where;

µs is the coefficient of static frictionN is the normal forceFf is the frictional force

The frictional force acting on the mass is calculated as follows;

Ff =  µsN

Ff =  µsmg

Ff = (0.67) x (17 kg) x (9.8 m/s²)

Ff = 111.62 N

Thus, the frictional force acting on the mass depends on the mass and acceleration due to gravity on the mass.

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The graph depicts the temperature curves for two substances labeled as substance X and Y.
Why does the temperature remain constant as heat is added to each substance in the regions labeled A to B, C to D, and A' to B', and C' to D'?
Based on the curve for either substance X or substance Y and using what you know about the particulate nature of matter, and the relationship between temperature and potential or kinetic energy, describe why adding heat leads to the step-wise change in temperature depicted in the graphs.

Answers

The heat supplied to increase the temperature of the substance is used up to transform the state of matter of that substance. Hence the temperature of the substance stays constant until the phase transition completes.

What is the phase transition?

In chemistry, phase transitions or phase changes are the physical processes of transition between a state of a medium of a substance. This term is used to refer to changes in the basic states of matter such as solid, liquid, and gas.

When a substance is heated or cooled and approaches a temperature corresponding to one of its phase transitions. Further gain or loss of heat results in diminishing or enhancing intermolecular attractions, instead of changing the molecular kinetic energies.

While a substance is undergoing a change in state which is a phase transition, its temperature remains constant. The horizontal lines on the graph represent the transition between the states of the substances X and substances Y.

When adding heat leads to the temperature of a substance being increased as the kinetic energy of the molecules of the substance increases. The conduction of heat occurs when these molecules start vibrating with high energy, Hence the heat transfer from one molecule to another.

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A BASE jumper jumps from rest and is in free fall for 40.0 m, then he opens his parachute and slows down at a rate of 3.00 m/s². If he
reaches the ground with a speed of 4.00 m/s, how far did he fall in total?

Answers

All falling objects experience a downward acceleration equal to the force of gravity.

He jumps 155.96 meters from the ground.

What is free fall motion ?In free fall, an item is traveling only as a result of gravity. Wind and air resistance need to be disregarded for an object to fall freely. On Earth, all falling objects experience a downward acceleration equal to the force of gravity.A body is said to be in freefall when it only moves in relation to the Earth's gravity. An external force exerted on the ball will cause its motion to accelerate. Gravitational acceleration is another name for this rate of free fall.

A BASE jumper jumps from rest and is in free fall for 40.0 m,

s= 1/2 g t^2

t^2 = 2* 40/9.2

t= 2.95s

v= at = 9.2 * 2.95 =26.68 m/s

u= 26.68 when  he opens his parachute and slows down at a rate of 3.00 m/s².

v= 4m/s

2as = v^2 -u^2

s= (4^2 - 2.68^2)/2*9.2

s =115.96 m

total distance = 115.96+ 40 = 155.96 m

He jumps 155.96 meters from the ground.

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an 800 n crate is pulled up a 4m long ramp. the high end of the ramp is elevated 2 m above the ground. it takes 3200 j of work to pull the crate to the top of the ramp. find the magnitude of the friction acting on the crate.

Answers

400N  magnitude of the friction acting on the crate.

work done by gravity

[tex][w=mg sin \theta \cdotS],[w=mgh=],[w=800 \cdot2=w=1600][/tex]

Then was done by friction  external work - wask done by gravity

[tex][f_S \cdot S=3200-1600],[f_S \cdot4=1600],[f_S=400 N][/tex]

Thus the crate is not moving with constant speed then we can say that the value of friction Force is less then 400 N

So Friction Force is not zero but less then the 400N

The resistance present at the contact surface at the point of contact when two or more objects move over one another can be referred to as friction force. The direction of friction force is always perpendicular to the object's motion.

The amount of friction is influenced by the surface's roughness and outside pressures. The force of friction works more strongly on a surface the rougher it is. The same is true of outside factors.

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observing a spacecraft land on a distant asteroid, scientists notice that the craft is falling at a rate of 5 m/s. when it is 100 m closer to the surface of the asteroid, the craft reports a velocity of 8 m/s. according to their data, what is the approximate gravitational acceleration on this asteroid?

Answers

The gravitational acceleration on the asteroid is 0.195 m/s².

Gravitational acceleration has an important role in uniform motion. Uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration (gravitational acceleration), t is time and s is displacement.

From the question above, we know that

h = 100 m

vo = 5 m/s

vt = 8 m/s

By substituting the given parameters, we get

vt² = vo² + 2a . s

vt² = vo² + 2g . h

8² = 5² + 2.g . 100

64 = 25 + 200g

g = 0.195 m/s²

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a circuit maintains a constant resistance. if the current in the circuit is doubled, what is the effect on the power dissipated by the circuit? a circuit maintains a constant resistance. if the current in the circuit is doubled, what is the effect on the power dissipated by the circuit? the power dissipated is reduced by a factor of 2. the power dissipated is doubled. the power dissipated is reduced by a factor of 4. the power dissipated remains constant. the power dissipated is quadrupled.

Answers

When the circuit's current doubles, the power lost in the circuit is given by, Beginning with "begin aligned" and ending with "end aligned," P =I 0 2 R =(2 I) 2 R =4 I 2 R. The power dissipated by the circuit is quadrupled if the current in the circuit is twice.

The idea of a resistance's power loss at constant voltage. The square of the potential across the resistor over its resistance, then, represents the power dissipated or the bubble that generated at constant volume at constant voltage. From this, we might conclude that power and resistance are inversely related.

Starting with "begin aligned" and continuing with "end aligned," P =I 0 2 R =(2 I) 2 R =4 I 2 R gives the power lost in the circuit when the circuit's current doubles. If the circuit's current is doubled, the power it dissipates is multiplied by four.

Now that we know this, we may write the original power P equals are over our buddies and the power BI prime over it. We can express the power P prime equals P times are greater than our prime from this. The resistance is prime is off by double the initial help in the problem now.

As a result, the power Well will decrease by a factor of 2, and the new power P prime will therefore be P over two.

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you walk 5 mi south, 12mi west 15mi north and 7mi north of west at 20 degrees. graphically find the resultant vector

Answers

Net ebony x-axis. ∅ ≈ 2° west of north.

= Rx = 5+ 7 cos 20° - 12

= -0.42 mi

Now, -axis  y axis

Ry = 7 Sin 20° +15 - 5

= 12.39 mi

= [tex]\sqrt{Rx^{2} + R}y^{2}[/tex] = [tex]\sqrt{(0.42)^{2} + (12.39)^{2} }[/tex]

IRI = 12.40 mi

Its direction:

tan ∅ = Rx/Ry west of North Ry  

∅ = [tex]tan^{-1}[/tex](0.42/12.39)

∅ = 1.94° west of north

∅ ≈ 2° west of north.

In the graphical method of adding vectors A and B, the vectors are drawn on the graph and added from head to tail. The resulting vector R is defined as A + B = R. The magnitude and direction of R are determined using a ruler and protractor, respectively. Draw the vectors so that their starting points coincide. Then draw a line to make a perfect parallelogram.

The diagonal from the starting point of the parallelogram to the opposite vertex is the result. GRI allows users to graphically display the detailed results of technical and economic analysis of a project. Hybrid2 uses two types of simulation models. One is for long-term performance prediction called the logistic model.

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