You are sitting on a couch watching TV, and although your little sister can not produce enough force to get you to move over, your dad can. This situation is a metaphor for which of Newton's laws of motion?

The law of acceleration
The law of action-reaction
The law of gravity
The law of motion

Answers

Answer 1

The situation provided to us is a metaphor for Newton's first law of motion.

Newton's law of motion consists of three laws for the motion of a body, Where Newton's first law of motion states that An object at rest remains at rest, and an object in motion remains in movement at a steady speed and in a straight line unless acted on by an unequal force. Newton’s first law states that each object will stay at rest or in uniform motion in a straight line unless compelled to alter its state by the action of an outside drive. This tendency to stand up to changes in a state of motion is inertia. On the off chance that all the outside strengths cancel each other out, then there's no net drive acting on the object. In case there's no net constraint acting on the object, at that point the object will keep up a consistent speed.

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Related Questions

A ball is booted from the ground at an angle of 0 = 44 degrees with respect to the horizontal. The ball is in the air for a time im = 2.5 s before it lands back on the ground

Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, m?

Answers

Projectile motion is exemplified by actions like throwing a ball straight up,  a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.

Horizontal distance traveled by the ball is 29.86 m

What is projectile motion?A projectile is an object that is launched into the air and moves in that direction. The only force an object experiences after the initial force that launches it is gravity. The trajectory of the object is referred to as the projectile's path.The three different types of projectile motion are as follows: horizontal projectile motion. projectile motion that is oblique. motion of a projectile on an incline.Projectile motion is exemplified by actions like throwing a ball straight up, kicking a ball and giving it speed at an angle to the horizontal, or simply dropping something and letting it fall freely. Gravity is the only force acting on the object during projectile velocity.

Launch angle x  = 44 °

time period of flight = 2.5s

Time period of Projectile T = [tex]\frac{2u sin x}{g}[/tex]  , g=acceleration due to gravity

2.5 = [tex]\frac{2 X u sin 44}{9.2}[/tex]

Where u=initial velocity = 16.66 m/s

Range of Projectile is given by

R = [tex]\frac{u^{2} sin 2x }{g}[/tex]

R= [tex]\frac{16.66^{2} sin 2x44}{9.2}[/tex]

R =  29.86 m

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Which dog has the most kinetic energy?
• A. A dog of mass 10 kg running with speed 8 m/s
• B. A dog of mass 14 kg running with speed 6 m/s
• C. A dog of mass 13 kg running with speed 7 m/s
• D. A dog of mass 15 kg running with speed 5 m/s

Answers

I believe the answer is B . A dog of mass 14 kg running with speed 6 m/s
Hope this helps! Good luck

you and your roommate are riding on a large carousel. you are standing near the center. your roommate is standing near the outside edge. who has the greatest angular velocity?

Answers

You and your friends are revolving at the same speed. As a result, your friend and you both have the same angular velocity.

Now that we have the formula for linear velocity—V = omega—we can move on to the following section and draw the conclusion that if the relationship between and grows, so will we.

From here, we may also infer that the radius is larger in this instance because you are close to the right edge. Since you and your friend have different linear velocities and you have the higher linear velocity. If you've ever actually been on a merry-go-round, you already know that being on the edge is considerably more enjoyable rotation than being in the centre.

However, there is a similarity between the two people who are moving about. In the same amount of time, they will each cover the same rotation. The term "angular velocity" refers to a speed that measures the angle of rotation over a specified period of time.

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Sometimes, when energy is added to a solid, it undergoes____

Answers

Answer:

A phase change

Explanation:

If i understand the question correctly it should undergo a phase change e.g melting

which of the following is a derived unit.
A. Ampere
B. kilogramme
C. Second
D. Ohm
E. Kelvin​

Answers

Answer:

D. Ohm

Explanation:

Ohm is an SI-derived unit of resistance and can be expanded to its base units of m²·kg·s¯³·A¯².

a ball of mass 0.484 kg moving east ( x direction) with a speed of 3.78 m/s collides head-on with a 0.242 kg ball at rest. assume that the collision is perfectly elastic.what is be the speed of the 0.484- kg ball after the collision?

Answers

The collision is perfectly elastic, so the speed of the 0.484- kg ball after the collision will be 5.66 meter per second.

We have a ball; the mask's mass should be 0.440 kg. Additionally, it is moving at a speed of 3.80 middle birth seconds. So it grapples with another ball that has a mask head-on. MB 20.220 Kg. B = 0 because it was at rest, so we will get B. They are now claiming that this collision was flawlessly elastic. Therefore, following a collision, we must determine the speed and direction of each ball. Therefore, we can now write V A minus we B is equal to minus V A dash minus V B using the relationship between the velocities. Where we are, dash, then B B dash R.

The speeds of ball and ball B following impact. As VB is already zero, the formula for V B dash will now be V A + V a dash. Therefore, we will now use the law of conservation of momentum. Therefore, we can write MAN for elastic collisions in accordance with the law of conservation of momentum. Two M A N is equivalent to two V A plus MB divided by VB. Do be two VB dashes plus an MB. V B was now equal to 0. The result of this expression will be zero. As a result, once we get em A there, M A V A dash plus M B will end. And we'll just add VA plus VA dash for the value of the vb dash.

Now that we have all the values, we can simply enter them. For example, a dash will represent MA- MB, which is 0.440 -0.22. subtract 0.440 add 0.22 multiplied by the first ball's velocity, which is 3.80. Hence We discover the first ball's velocity value. After elastic collision, two is equal. Be a dash that is 266 metres long and lasts one second in the east. Therefore, we must now determine the value of the vb dash. As a result, vb dash equals B plus we're dash. Therefore, we have both values. In light of this, we determine that B B dash equals two 3.80 + 1.266. We now have the speed for B B dash, which is 5.66 metres per second in the same direction as before.

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in a laboratory, the balmer-beta spectral line of hydrogen has a wavelength of 486.1 nm. if the line appears in a star's spectrum at 486.7 nm, what is the star's radial velocity (in km/s)? (enter the magnitude.)

Answers

starts radial velocity V = 1,23,000 m/s.The star is receding and This star is called redshift.

As a vector measurement of the rate and direction of motion, velocity is defined. Velocity can be defined as the rate of movement in one direction. A rocket launching into space and a car going north on a busy freeway can both be quantified using velocity.

The velocity vector's scalar (absolute value) magnitude corresponds to the motion's speed, as you would have anticipated. Velocity is the first derivative of position with respect to time in calculus. A straightforward formula that incorporates rate, distance, and time can be used to compute velocity. Even though they are different metrics, speed, velocity, and acceleration are all related to one another.

Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. Speed and velocity have quite different meanings from distance and displacement, despite their similarities. The scalar property of speed

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3. A museum curator moves artifacts into place on various different display
surfaces. Use the values in Table 2 to find Fs,max and Fx for the following
situations:
a. moving a 145 kg aluminum sculpture across a horizontal steel platform
b. pulling a 15 kg steel sword across a horizontal steel shield
c. pushing a 250 kg wood bed on a horizontal wood floor
d. sliding a 0.55 kg glass amulet on a horizontal glass display case
"

Answers

Answer: we are given the mass of an aluminum sculpture which is 145 kg and a horizontal force equal to 668 Newtons. The coefficient of friction can be determined by dividing the horizontal force by the weight of the object. In this case, 668 N / 145 * 9.8 equal to coeff of friction of 0.47

A body is under reaction two forces 6n and 8n find the resultant of two forces if (a) the forces are parallel and act in the same direction (b) the forces are parallel and act in the same direction

Answers

The net force of parallel force act in the same direction is 14 N.

We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as

R = F1 + F2 + ... + Fn

where R is force resultant (net force)

From the question above, we know that

F1 = 6 N

F2 = 8 N

Because the direction is the same, the force will add to each other.

R = F1 + F2

R = 6 + 8

R = 14 N

Hence, the net force is 14 N

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an initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 n. the coefficient of static friction between the box and the floor is 0.35. (a) what should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?

Answers

a. Angle between the cable and the horizontal in order to pull the greatest possible amount of sand is θ= 19.29° b. weight of sand and box is M= 34 kgs where coefficient of static friction is 0.35.

An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion. While surfaces at rest with respect to one another experience static friction. Static friction is defined as the difference between zero and the minimum force required to initiate motion. The minimum force needed to initiate motion or dissipate static friction is always greater than the coefficient of friction, which is the ratio between the force preventing motion between two surfaces in contact and the normal force holding them together. The Greek letter mu () is commonly used to represent it.

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Which of the following statements would be true about the particle model motion diagram for an airplane taking off from an airport?
a.
The dots would form an evenly spaced pattern.
c.
The dots would be close together to start with, and get farther apart as the plane accelerated.
b.
The dots would be far apart at the beginning, but get closer together as the plane accelerated.
d.
The dots would be close together to start, get farther apart, and become close together again as the airplane leveled off at cruising speed.

Answers

The dots would be close tougher to start with and get feather apart as the plane accelerated

A florist has one kind of plant that usually has red flowers (the dominant trait), but sometimes has white flowers (the recessive trait). If she crosses plants A and B as shown here, 50% of the offspring will have red flowers.

Answers

Answer:

See below

Explanation:

The red flowering plant must be heterozygous with a dominant R gene and a recessive w gene......the white will have w  w   (homozygous)

        R                 w

w      wR (red)     ww(white)

w     wR (red)       ww(white )              50% red     50% white

a skipper on a boat notices wave crests passing his anchor chain every 6.5 s. he estimates the distance between wave crests to be 15 m. he also correctly estimates the speed of the waves. what is this speed?

Answers

The speed of the wave will depend on the wave crest and anchor chain passing time.

What is Speed?

Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.

Given,

Distance= 15m

Time=6.5sec

Speed=?

We know that speed = Distance/ time

v= 15/6.5

speed, v= 2.30 m/s

Hence, the speed of waves is 2.30m/s

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Calculate the displacement of a sine wave in mm of Time Period of 2 seconds and amplitude 8 cm, 0.3
seconds after the commencement of the wave.

Answers

The displacement of the sine wave in mm is determined as 75.36 mm.

What is angular displacement of a wave?

Angular displacement is the angle made by the body from its point of rest at any point in the rotational motion.

The angular speed of the wave is calculated as follows;

ω = 2π/T

where;

T is the period of the wave = 2 s

ω = 2π/2

ω = π rad/s

The angular displacement of the wave is calculated as follows;

ω = θ/t

θ = ωt

where;

t is time of motion of the wave = 0.3 sθ is angular displacement

θ = ( π rad/s) x (0.3 s)

θ = 0.3π rad/s = 0.942 rad

The displacement of the wave in mm is calculated as follows;

Δx = θA

where;

A is the amplitude of the wave = 8 cm = 80 mm

Δx = 0.942 rad x 80 mm

Δx = 75.36 mm

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a light bulb is designed to operate at a voltage 3 v and provide a power 1.93 w. unfortunately, you just have a voltage source (assume ideal) of 15 v. you can make the light bulb operate at its designed voltage and power by putting a resistor in series with the light bulb.

Answers

Simply connect the battery's positive terminal to one of the electrical contacts on your light bulb and its negative terminal to the other.

Many lightbulbs have one electrical contact with screw threads, while the other contact is typically a circular dot on the base end. Other bulbs will protrude metal prongs. Soldering wires onto batteries and lights is infamously difficult to achieve adequate electrical contact. In flashlights, the spring contacts function significantly better (but even they are troublesome from time to time).

It's crucial to choose a bulb that works with the amount of power your battery can supply. The bulb's filament won't grow hot enough to visibly glow if the battery voltage is too low, resulting in a tiny current flowing through the bulb. If the battery voltage is too high, the filament will burn out due to the excessive current flow.

The filament will become overheated and evaporate if the battery has a voltage that is too high.

Standard bulbs require a voltage of about 120 V to operate, which is an uncommon range for batteries. Ordinary flashlight bulbs require roughly 3V to operate, which is simple to acquire by connecting two batteries in series. Typically, automotive bulbs are made to operate with 12V, which is the output of an automobile battery or eight conventional battery cells connected in series.

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A car is traveling driving at 80 km/h when the driver sees an accident 50 meters ahead and applies the brakes. What constant deceleration is required to stop the car in time to avoid hitting the vehicles ahead? express your answer in m/s2.

Answers

We have,

Initial velocity, u= 80 km/h

Final velocity, v= 0km/h

Distance, s= 50m

= 0.05km

Using relation, [tex]v^{2} = u^{2} + 2as\\[/tex]

We get,

[tex]0^{2} = 80^{2} + 2a(0.05)\\[/tex]

[tex]0 = 6400 + 0.1a[/tex]

[tex]-6400 = 0.1a[/tex]

∴ [tex]a = \frac{-6400}{0.1}[/tex]

[tex]a = - 64000[/tex][tex]km/h^{2}[/tex]

To convert the answer into [tex]m/s^{2}[/tex] we have to multiply the answer by [tex]\frac{1000}{3600^{2} }[/tex]

∴ [tex]a = -64000[/tex] ×    [tex]\frac{1000}{3600^{2}}[/tex]

⇒ [tex]a= -4.9382[/tex][tex]{m/s^{2}[/tex]

The deceleration required to stop the car in time to avoid hitting the vehicles ahead is [tex]4.9382[/tex][tex]m/s^{2}[/tex].

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To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?Convert miles to hour and then divide the two numbers.Change hours to miles and then divide the two numbers.Divide the two numbers as given--units do not have to be the same when dividing.None of these choices are correct.

Answers

To find

To divide 20 miles by 5 hours, what conversion should be made to make the calculation correct?

Explanation

20 miles refer to the distance travelled

5 hours refers to the time taken

So dividing distance by time would give us speed

Since both are different physicals quantity so their units need not be same.

Conclusion

The correct statement is

Divide the two numbers as given--units do not have to be the same when dividing.


A policeman notices a car speeding at 80m/s and starts chasing it. When the police car reaches the car, its speed has decreased to 50m/s within 30 seconds. What is it's acceleration

Answers

The acceleration of this car is equal to 9 meters per seconds square (m/s²).

What is an acceleration?

An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

How to calculate the acceleration of this car?

In Science, the acceleration of a physical object (car) or body can be calculated by using this formula:

a = (V - U)/t

Where:  

a represents the acceleration.V is the final velocity.U is the initial velocity.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

a = (80 - 50)/30

a = 30/30

Acceleration, a = 1 m/s²

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put the appropriate word or phrase in each blank. do not use numbers. an object that absorbs all radiation that falls on it has an emissivity with a value of and is called a .

Answers

An object that absorbs all radiation that falls on it has an emissivity with a value of 1 and is called a blackbody.

Thermal radiation is emitted by every item above absolute zero. The amount of thermal radiation emitted, however, is a function of the emissivity of the object's surface for any given wavelength and temperature.

Emissivity is defined as the ratio of energy emitted from a material's surface to that emitted from a blackbody, a perfect emitter with the same temperature, wavelength, and viewing conditions. Between 0 and 1, it is a dimensionless number.

In addition to the material, a surface's emissivity is also influenced by its composition. An oxidized and roughened metal surface, for instance, will have a greater emissivity compared to a clean and polished metal surface. Emissivity is defined as the ratio of radiation emitted from an item to that emitted from a blackbody when the temperatures and wavelengths are observed under identical conditions.

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(c) Jika kelajuan kereta digandakan, tenaga kinetik kereta akan bertukar sebanyak berapa faktor? If the speed of a car is doubled, by what factor does the kinetic energy of the car change? KBAT​

Answers

Answer:

W₂ / W₁ = 4

Explanation:

Given:

m

V₁ = V

V₂ = 2·V

_________

W₂ / W₁ - ?

Kinetic energy of the car:

W₁ = m·V₁² / 2 = m·V² /2

W₂ = m·V₂² / 2 = m·(2·V)² /2 = 4·m·V² / 2 = 4·W₁

W₂ / W₁ = 4·W₁/ W₁ = 4

Kinetic energy increased 4 times

a skipping rope under constant vibration has a 5.0 cm amplitude and an 8.0 s period. What vertical position is the rope at when t = 5.0 s? b) Find two times when that same rope's position is +2.0 cm​

Answers

The Vertical position of the rope at 5 seconds is 5.7cm and the times at which its position is +2cm is 0.311 seconds and 3.66 seconds.

The position of a rope can be described by a simple sin function,

x = Asin(2πt/T)

where,

x is the position at time t,

t is the time,

T is the total time period of oscillation,

A is the amplitude,

a) The vertical position at t = 5 seconds can be found by using the above formula by putting the values,

Amplitude is 5cm.

Time period is 8 seconds,

So, putting values,

x = Asin(2πt/T)

x = 8sin(2π5/8)

x = 8sin(5π/4)

x =8(-0.70)
x = 5.7 cm.

b) Now, putting x = 2cm and solving,

2 = 8sin(2πt/8)

1/4 = sin(πt/4)

sin(Ф) = 1/4

when Ф = 14° and 165° (approximately)

Converting these into radians,

1 degree = π/180

14° = 14π/180 radians

165° = 165π/180 radians

Putting Ф = 14π/180

14π/180 = πt/4

t = 0.311 seconds

Now, putting Ф = 165π/180,

165π/180 = πt/4

t = 3.66 seconds.

So, we got two values of t, 0.311 seconds and 3.66 seconds..

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Two electromagnetic waves are traveling through a material. Wave 1 has a maximum electric field strength that is three times the maximum field strength of wave 2. How do the average intensities of the waves compare?.

Answers

The average intensity of the wave 1 is 9 times the average intensity of the wave 2.

When a electromagnetic wave moves, it carries electric as well as magnetic energy in itself.

The energy of the EM waves is by the equal contribution of both the waves.

It is provided, that wave 1 has electric field E that is three times the maximum electric energy E' of the wave 2.

So, we can say,

E/E' = 3

We know,

The intensity of the wave is given by,

I = 1/2eE²c

Where,

I is the intensity of the wave,

e is a permittivity of free space,

E is the strength of the wave,

c is the speed of light

Now, intensity of the wave 1,

I1 = 1/2eE1²c

For wave 2,

I2 = 1/2eE²c

Now, dividing both the intensity,

I1/I2 = E1²/E2²

We know,

E/E' = 3

So,

I1/I2 = 9

I1 = 9I2

So, we can say,

The intensity of wave 1 is 9 times the intensity of wave 2.

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A force of 6.0 newtons produces a torque of 27 Nm. What is the shortest lever arm that can produce this torque?

Answers

Answer:

3.6

Explanation:

Bc its 27nm. And u need to X the answer

It would be B because that’s the shortest lever arm that can produce this torque

co-generation: a simple rankine cycle produces 40 mw of power, 50 mw of process heat and rejects 60 mw of heat to the surroundings. what is the utilization factor of this cogeneration cycle neglecting the pump work?

Answers

60 % is the utilization factor of this cogeneration cycle neglecting the pump work of a simple rankine cycle

data sent  A straightforward Rankine cycle generates 40 MW of electricity, 50 MW of process heat, and 60 MW of heat waste that is released into the environment.

rankine cycle produces 40 MW of  power,

50 MW of process heat

60 MW of  heat to the surroundings

Total = 40 + 50 + 60  = 150 MW

Utilized = 50 + 40 = 90 MQ

Usefulness of this cogeneration cycle = 90/150 * 100= 60 %

Usefulness of this cogeneration cycle   = 60 %

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A small, private airplane is carrying three passengers to an island. The plane is 0.9 km in
the air. If the potential energy of the plane and its three passengers is 48,510,000 J, what is
the combined mass of the plane and its passengers? Round your answer to the tenth place.

Convert the height in km to m.

Rearrange the formula to solve for mass.

Use the formula to solve for the mass of the plane and passengers.

Answers

The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy.

The mass of the plane and passenger is 5494.4 kg

What is potential due to gravity?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy).

following equation: Potential energy U=m g h

Where:

m = mass [kg]

g = gravity = 9.81[m/s^2]

h = elevation = 0.9 [km]

m= u/ (gh)

m =  48,510,000 / (9.81 x .9)

m= 5494.4 kg.

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Drag each statement to the correct location on the table. Match the characteristics with the states of matter.

Answers

Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume  but does not have a  definite shape and changes to solid  on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.

What is state of matter?

State of matter is defined as the physical classification of matter divides stuff into solids, liquids, and gases.

Matter transforms into a state of matter when energy is added or subtracted from it.

Thus, Solid - has a definite shape and volume and changes to liquid on heating. Liquid - has definite volume  but does not have a  definite shape and changes to solid  on cooling. When cooled, a gas transforms into a liquid but has no fixed shape or volume.

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Your question is incomplete, but probably your complete question was

Drag each statement to the correct location on the table.

Match the characteristics with the states of matter.

does not have

a definite shape

or volume

has definite volume

but does not have a

definite shape

has a definite shape

and volume

changes to liquid

on heating

changes to liquid

on cooling

changes to solid

on cooling

Solid

Liquid

Li

Gas

consider an rlc circuit with resistance 2 ohms, inductance 0.1 henrys, capacitance 0.004 farads, and an impressed voltage, provided by an alternating current generator, of e ( t )

Answers

RLC circuit with resistance 5 ohms, inductance 0.1 henrys, capacitance 0.004 farads is q"+20q' + 2500q =50 sin (75t) .

Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The current decreases with increasing resistance. On the other hand, the current increases with decreasing resistance.

Electronic components known as resistors obstruct the electrical current in a circuit. Similar to how faucets are used to change the flow of tap water, resistors are used in electrical circuits to modify current and voltage. They can also be utilised to regulate the current flow

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calculate the buoyant force due to the surrounding air on a man weighing 800 n . assume his average density is the same as that of water. suppose that the density of air is 1.20 kg/m3 . express your answer to two significant figures and include the appropriate units.

Answers

0.96 Newton is the buoyant force due to the surrounding air on a man weighing 800 n .

buoyant force = weight of equal volume of air

= Volume×density of air × g = Weight of man × density of air /density of man

Density of air at 0 degrees celsius = 1.20 kg/m^3

Buoyant force = 800 ×1.20 /1000 = 0.96 N

When a body is totally or partially submerged in a fluid, there is an upward push force on the body known as buoyant force. The buoyant force always moves in a vertical direction. This force has no horizontal component, which is zero. The center of buoyancy is the location where the buoyant force acts. Large hot gas balloons may soar into the sky and ships can float on the water's surface because to this power.

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the system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal. find (a) tension t1, (b) tension t2, (c) tension t3 and (d) angle θ.

Answers

The system in fig. 3.1 is in equilibrium with the string in the center exactly horizontal.

T_1=48.83NT_2=28.01NT_3=57.31NФ=29.26

This is further explained below.

What is tension?

Generally, Tension is defined as the pulling force that is transmitted axially by the means of a string, a cable, chain or another object of a similar nature, or by each end of a rod, truss member, or another object of a similar three-dimensional nature.

Alternatively, tension can be defined as the action-reaction pair of forces that act at each end of the elements in question.

[tex]\begin{aligned}&T_1 \cos 35=40 \\&T_1=48.83 \mathrm{~N} \\&T_2=T_1 \sin 35 \\&T_2=28.01 \mathrm{~N}\end{aligned}[/tex]

[tex]\begin{aligned}&T_3 \cos \theta=50 \\\\&T_3 \sin \theta=T_2=28.01 \\\\&\tan \theta=\frac{28.01}{50} \\\\&\theta=\tan ^{-1}\left(\frac{28.01}{50}\right) \\\\&\theta=\frac{29.26}{}=\frac{50}{\cos \theta} \\\\&=\frac{50}{\cos 29.26}=57.31 \\\\&T_3=57.31 \mathrm{~N}\end{aligned}[/tex]

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while at the county fair, you decide to ride the ferris wheel. having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. to take your mind off your stomach, you wonder about the motion of the ride. you estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 seconds.

Answers

a. Your speed will be 0.0628 m/s

b. The magnitude of your acceleration is 0.000263 m/s2

c. The ratio of your weight at the top of the ride to your weight while standing on the ground is 99.997%

d. The ratio of your weight at the bottom of the ride to your weight while standing on the ground is 100.003%

Using the data given above,

Where:

Radius = 15 m

Time for each loop = 25 minutes (25*60 = 1500 seconds) to complete.

a. To find the speed, which is the length of each loop per unit of time to complete each loop, we use the equation for uniform velocity v where:

v = C/t

Where:

Circumfrence of the ferris wheel; C = ?

Time to go round; t = 1500s

Circumference of the Ferris wheel would be:

C = 2πR = 2π*15 = 94.25 m

v = 94.25 / 1500

v = 0.0628 m/s

b. Since the circular motion is constant, the only acceleration from the motion is the centripetal acceleration. To find the magnitude of acceleration, we use the equation for centripetal acceleration which is:

ac = v²/r

Where:

Velocity; v = 0.0628 m/s

Radius; r = 15

ac = 0.0628/15

ac = 0.000263m/s²

c. Let g = 9.8 ms². At top of the ride, the centripetal acceleration would be pushing you up, while gravity pushes you down, so the weight you experience (compare to standing on ground would be):

g-ac/g

Where

Gravity; g = 9.8ms² (a constant)

Centripetal acceleration; ac = 0.000263m/s²

9.8 - 0.000263/9.8

= 0.99997

= 99.997%

d. At the bottom of the ride, both centripetal acceleration and gravity would be pushing you downward, making you feel like

g+ac/g

Where

Gravity; g = 9.8ms² (a constant)

Centripetal acceleration; ac = 0.000263m/s²

9.8 + 0.000263/9.8

= 1.00003

= 100.003%

Here's the complete question:

While at the county fair, you decide to ride the ferris wheel. having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. to take your mind off your stomach, you wonder about the motion of the ride. you estimate the radius of the big wheel to be 15 m, and you use your watch to find that each loop around takes 25 seconds.

a.What is your speed?

b.What is the magnitude of your acceleration?

c.What is the ratio of your weight at the top of the ride to yourweight while standing on the ground?

d.What is the ratio of your weight at the bottom of the ride toyour weight while standing on the ground?

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