If 2 balls of the same size and different masses roll down a ramp, which ball would be faster; the bigger mass or the smaller mass

In order to determine the acceleration of the block, use the following formula:

Moreover, remind that for an object attached to a spring the magnitude of the force acting over a mass is given by:

Then, you have:

by solving for a, you obtain:

In this case, you have:

k: spring constant = 100N/m

m: mass of the block = 200g = 0.2kg

x: distance related to the equilibrium position = 14cm - 12cm = 2cm = 0.02m

Replace the previous values of the parameters into the expression for a:

Hence, the acceleration of the block is 10 m/s^2

Scientific models area unit accustomed make a case for and predict the behaviour of real objects or systems.

A system of ideas, events, or processes is described physically, mathematically, conceptually, or conceptually in an exceedingly scientific model. By victimisation their scientific experience to produce explanations that create it doable to forecast the patterns, scientists work to recognise and comprehend the patterns that exist in the environment.

Scientific model illustrations include:

a simulation of the sun, moon, and earth's motions (which you participated in last year) a way for statement eclipses. The weather will be foretold victimisation models that describe weather events.

Models will assist you in mentally imagining one thing that's difficult to ascertain or comprehend. Models will aid in scientific prediction, understanding of processes, and communication of ideas.

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Several factors affect your skill-related fitness and your skills, including heredity, practice etc .

Skill-related fitness is have six different components; agility, speed, power, balance, coordination, reaction time.

Several factors affect your skill-related fitness and your skills, including heredity, practice etc

for example some people are able to run faster than others or react quick because they inherited these traits from their parents. A person who did not inherited a tendency in these areas from their ancestors ,may have more difficulty performing skills that require those abilities.

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We could  calculate the initial and final kinetic energy after computing the velocities prior to the impact. So, the total kinetic energy of the two people decrease during the collision by -638.73 J.

Since the velocity before to the collision is unknown, it is impossible to calculate the kinetic energy. So, we'll start by computing the velocities before to the impact.

If all external forces have a zero vector total, momentum is said to be conserved. In other terms, it may be said that the system's momentum prior to the collision and its after momentum should be identical.

This indicates that even if we know little or nothing about the internal forces of the system, we can still calculate the system's momentum.

The kinetic energy prior to and following the collision must be calculated in order to calculate the change in kinetic energy.

Due to the unknown velocity before to the contact, it is impossible to calculate the kinetic energy. As a result, we'll start by computing the velocities that existed before the impact.

The first step is to calculate the x and y components of the velocity following the collision. Sam might be represented by variable S, and Abigail by variable A.

v S = v S x + v S y = 6.00 m / s cos 37 + 6.00 m / s sin 37 v S = ( 4.79 I + 3.61 j ) m / s v A = v A x + v A y = 9.00 m/s cos 23 + 9.00 m/s sin 23 v A = ( 8.28 I + 3.52 j ) m / s

Then, keep in mind the equation for momentum conservation: p 1 = p 2

where p 1 represents the momentum prior to the collision and p 2 represents the momentum following the collision. Since Sam is sliding eastward before to the collision in the aforementioned scenario, we will only utilize the x component of the velocity after the collision of Sam and Abigail to compute the velocity of Sam before the collision, and we will also set Abigail's momentum to zero.

We could now calculate the initial and final kinetic energy after computing the velocities prior to the impact.

KE1=12mS(vS1)

2+12mA(vA1)

2=12(80 kg)(9.97 m/s)

2+12(50 kg)(2.26 m/s)

2KE1=4103.73 J

KE2=12mS(vS1)

2+12mA(vA1)

2=12(80 kg)(6.00 m/s)

2+12(50 kg)(9.00 m/s)

2\sKE2=3465 J

The difference between the end and starting kinetic energy could be used to calculate the change in kinetic energies.

KE= -638.73J

Complete question is:

You and your friends are doing physics experiments on a frozen pond that serves as a frictionless, horizontal surface. Sam, with mass 80.0 kg, is given a push and slides eastward. Abigail, with mass 50.0 kg, is sent sliding northward. They collide and after the collision, Sam is moving at 37.0 degrees north of east with a speed of 6.00m/s and Abigail is moving at an angle 23.0 degrees south of east with a speed of 9.00 m/s. By how much did the total kinetic energy of the two people decrease during the collision?

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Given data:

Mass of rock 1;

Height rock 1 lifted;

Mass of rock 2;

Height rock 2 lifted;

The work done in lifting the rock is given as,

Here, m is the mass of the rock, g is the acceleration due to gravity (g=10 m/s²) and h is the height the rock lifted.

The work done in lifting rock 1 is given as,

Substituting all known values,

The work done in lifting rock 2 is given as,

Substituting all known values,

On comparing the work done in lifting rock 1 and 2 we conclude that,

Therefore, the same amount of work is done in lifting a 50 kg rock by 2 meters and lifting a 25 kg rock by 4 meters.

Results are never more exact than the least precise measurement. The average lap time surpasses clock precision.  I will have a fair amount of confidence in the results of the report

This is further explained below.

Generally, A result can never be more accurate than the measurement that was the least accurate.

The calculated average lap time is more accurate than the clock can measure.

A conclusion can never be more accurate than the measurements that were used to get at it. The accuracy that may be achieved with the clock is exceeded by the average lap time that was determined.

Hence, for a clock that bears a precision of 0.2 seconds, I will be confident in its results bearing precision in mind, Because knowing the precision you can easily manipulate the results to get the desired outcome

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The magnitude of the acceleration is  −0.50 m/s² of the block of mass 290kg that slides on a frictionless plane inclined at 39◦ with the horizontal under the influence of a restraining force of 1643 .

The resulting motion is

2. up the plane, since the acceleration is negative.

Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an object or point moving straight ahead.

Due to the constant change in direction, motion on a circle accelerates even when the speed is constant. Both effects help to accelerate all other types of motion.

We have given that,

m = 290 kg

θ = 39◦

F = 1643 N

g = 9.8 m/s²

The force due to gravity

F₁ = m × g × sinθ

F₁ = 290 × 9.8 × sin 39°

F₁ = 1790.46 N

Lets take acceleration is a m/s²

Form Newtons second law

F - F₁ = m × a

1643 - 1790.46 = 290 x a

a = −0.50 m/s²

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The ball is in the air for 0.24 seconds, the ball hits the ground 2.46 meters far from the table and the x speed is 0m/s and y speed is 5m/s.

Velocity of the ball is 5m/s and the height of the table is 1.2 meters.

a. We know,

Velocity = distance/time

5 = 1.2/time

Time = 1.2/5

Time = 0.24 seconds.

The time taken by the ball to reach the ground is 0.24 seconds.

b. The ball after rolling of the table will behave like Horizontal projectile.

Horizontal range R formula,

R = V.√(2h/g)

Putting all the values,

R = 5.√(2×1.2/9.8)

R = 5×0.49

R = 2.46 meters.

c. When the ball reaches the ground,

X speed is 0m/s and Y speed is 5m/s.

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The distance-time graph will show the slope as horizontal for the time in which the man don't move.

How to find slope of a graph?

The slope formula rise/run is used to get the slope from a graph. The first thing we must do when given a line's graph and asked to determine its equation is to determine its slope. In order to determine the slope from a graph, we can take any two points on the line (x1, y1) and (x2, y2) and use the formula (y2 - y1) / (x2 - x1).

In the distance-time graph the distance is represented at y-axis and the time is represented at x-axis. So, In the time in which the man stops moving (stuck in the traffic) there is no change in distance but the times keeps changing or increasing that's why at the point he gets stuck in traffic and does not move for one hour. This point on the graph the slope will be horizontal.

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a) The angle between the cable and the horizontal in order to pull the greatest possible amount of sand is 19°. b) The weight of the sand and box in that situation is 3.3x10³ N.

A similar scenario is depicted with a free-body diagram and in the textbook's illustration, where the unknown angle is represented by the symbol. We employ the same system of coordinates as in that figure.

a) Newton's second law thus results in

x : T cosФ - f = ma

y : T sinФ + Fn-mg = 0

With a = 0 and f = f s, max = s F N, we may solve for the mass of the box-and-sand (as a function of angle) as follows:

m = T/g (sinФm + cosФm/us )

Hence, in order to determine the angle m that corresponds to the greatest mass that may be drawn, we will solve using calculus techniques.

dm/dt = T/g  (sinФm + cosФm/us ) = 0

As a result, tan m = s is obtained, and for s = 0.35, m = 19 is obtained.

(b) The result of entering our value for m into the formula we discovered for the mass of the box and sand is m=340 kg. This is equivalent to a weight of mg=3.3x10³ N.

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The y-component of vector (a ) is  -7.0j m/s²

In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector. The direction is then crucial in accordance with the vector.

We are given that,

the x -component of vector (a)x = 7.0m/s²

The acceleration in vector sum form x - direction and y - direction is given as,

[tex]a = a_{x} +a_{y}[/tex]

So that , the (-y-direction) acceleration then x- component must be zero then,

[tex]a =(7.0i) + (-7.0j)\\a= - 7.0j[/tex]

Thus, the acceleration on -y- direction will be -7.0jm/s²

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The potential energy of the 80kg cougar at a height of 70m is 54880 Joules.

Potential energy is simply the energy a body possesses due to its position.

It is expressed mathematically as;

P.E = mgh

Where m is mass, h is height and g is acceleration due to gravity ( g = 9.8m/s² )

Given the data in the question;

Plug the given values into the potential energy formula above and solve.

P.E = mgh

P.E = 80kg × 9.8m/s² × 70m

P.E = 54880kgm²/s²

P.E = 54880 Joules.

Therefore, the potential energy of the cougar is 54880 Joules.

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The initial speed that the ball left the foot of the kicker if it was in the air for 4 seconds before hitting the ground 52 meters away is 23.64 m / s

T = 2 u sin θ / g

R = u cos θ * T

T = Total time of flight

u = Initial velocity

g = Acceleration due to gravity

R = Horizontal range

T = 4 s

R = 52 m

4 = 2 u sin θ / 9.8

u = 39.2 / 2 sin θ

u = 19.6 / sin θ → ( 1 )

52 = u cos θ * 4

u = 13 / cos θ → ( 2 )

Equating ( 1 ) and  ( 2 ),

19.6 / sin θ = 13 / cos θ

sin θ / cos θ = 19.6 / 13

tan θ = 1.5

θ = 56.3°

From ( 2 )

u = 13 / cos 56.3°

u = 13 / 0.55

u = 23.64 m / s

Therefore, the initial speed that the ball is 23.64 m / s

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The resultant force is the force that can replace all the acting forces and have a comparable effect on the section or beam when several forces are acting on it.

If the forces acting on a body in a specific direction result in a net sum of zero in that direction, the forces acting on the body are said to be in equilibrium.

The resultant force is the force that can replace all other forces operating on a beam or section while still having the same impact on the section or beam. This force is used when many forces are acting on a beam or section.

The resultant force in the X direction equals 250 and must act for more than five, minus 500 cosign 30 minus 300, which equals 533.41 Newton and the magnitude of the forces in the left direction. The magnitude of the resultant force in the y direction should likewise be the same. S

ome forces that are equal to 500 sign 30 - 150 in the y direction. multiply it by 3/5 so that it equals 100. Newton's are inefficient, thus the force Rf's magnitude should be square root off 533.1 square lost 100 square, equaling 542 Newtons, and the angle Sita if 10 members 100 over 533.41, equal to 10.6 degrees for the location off.

We have 533.1 when we multiply the equal 500 committed by the result on force So instant off the resultant around the. 30 supply point to minus 250 and multiplied by minus 500. city above five, apply.

Subtract 200 50 from 0.5. Divide by 4/5. Loss of three supplies A 300 must submit one. Therefore, using this equation, we can determine T's value, which is 827 millimeters.

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A step function is defined U(t)=0,1 [tex]\left \{ {{t < 0} \atop {t > 0}} \right.[/tex]  i(t)=e^-5t + 2 if t=2&3 & i(t)=3e^-5t if  2>t>3.

A step function, sometimes known as a staircase function, is a piecewise constant function with a limited number of parts, according to the definition given in mathematics. In other words, one can think of a function on the real numbers as a finite linear combination of indicator functions of given intervals. In addition, it goes by the names floor function and biggest integer function. There is no continuity in the step function. In mathematics, a step function is a function whose graph resembles a series of steps because it is made up of numerous horizontal line segments interspersed with jumps. The biggest integer function is a frequent illustration of step functions in mathematics.

When provided intervals are used, a step function has a constant value, but the constant varies for each interval. A function that returns the biggest integer that is less than or equal to x is known as the greatest integer function.

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The statement that best describes the reaction is as follows: The total mass of hydrochloric acid and sodium hydroxide will result in the same total mass of sodium chloride and water (option D).

The law of conservation of matter states that matter can neither be created nor destroyed. This law means that the mass that enters and leave a system is accounted for.

The law of conservation of mass explains the input and output of mass in a chemical reaction such that the mass of the reactants must be equal to the mass of the products.

According to this question, hydrochloric acid (HCl) and sodium hydroxide (NaOH) can be combined to form sodium chloride and water.

This means that the total amount of matter of the reactants (hydrochloric acid and sodium hydroxide) must equate the total amount of matter of the products (sodium chloride and water).

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The resultant velocity of the plane has a magnitude  104.4  mph and direction    south of west .

The plane is flying south at a speed of  100  mph and is blown by a  30mps strong wind due west.

⇒  The angle between the direction of flight of plane and the direction of the wind is  90° .

⇒  By Pythagoras theorem, the resultant speed is

[tex]\sqrt{100^{2} +30^{2} } =\sqrt{10900}[/tex] =104.4 mph

⇒  The resultant velocity of the plane has a magnitude  104.4  mph and direction    south of west

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Your community is considering building a dam on a nearby river to reduce flooding. yes, this proposal need support. because through dam we can store flood water.

A physical barrier known as a dam slows or limits the flow of surface or subsurface water. Reservoirs built by dams provide water for navigation, aquaculture, irrigation, human consumption, industrial use, and other purposes.

Let's examine some of a dam's uses now that we have a basic understanding of what a dam is. It is valued as a resource for water. They provide water for a variety of uses, including home, agricultural, and industrial ones. Dams are also utilised to produce energy and improve river transportation. Dams are used more and more frequently in daily life. Dams also promote local tourism, which contributes to the growth of the nation. Dams can be used for many different things.

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Because the total momentum of the system is zero, Cart 2's initial speed is 0.62 m/s. No, the system's kinetic energy is not equal to zero because energy, according to the law of conservation of energy, cannot be destroyed.

The kinetic energy of the system is 0.268 Joules. Linear momentum is a vector quantity defined as the product of an object's mass, m, and velocity, v. The letter 'p' is used to express it, and momentum is used for short. Please keep in mind that the body's momentum always points in the same direction as its velocity vector. A body's momentum is defined as the product of its mass and velocity.

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Answer:

not enough information need more information to answer the question

14.3 seconds before the plane is directly overhead should the box be dropped in projectile motion.

The motion of thebox is a projectile motion, therefore it consists of two independent motions:  

A uniform motion (at constant velocity) along the horizontal direction  

A uniformly accelerated motion, with constant acceleration (=acceleration of gravity, ) in the downward direction  

s = 1000 m is the vertical distance that the box must cover

u = 0 (the box's initial vertical velocity (zero, since it is travelling horizontally)

g is the acceleration of gravity

t is the time

The time the box needs to arrive at the ground is determined by solving for t:

[tex]t=\sqrt((2s/g=\sqrt((2(1000))/(9.8))=14.3s[/tex]

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Answer:

Temperature is the kinetic energy of the particles of a substance.

Explanation:

The more kinetic energy a particle has the higher it's temperature. In the case of the atmosphere, which is what we are primarily concerned with in Meteorology, we measure this using a mercury thermometer (in certain situations we use an alcohol thermometer and of course modern times have given us things like dewcells and digital thermometers but we always go back to the mercury thermometer for accuracy).

When there is relative motion between the fluid layers or between the fluid and solid surface, the fluid's internal property known as viscosity is created. This relative motion is being resisted by viscosity.

Derivations of the equations of motion—the connections for the conservation of mass and momentum—in rectangular,

coordinates that are spherical and cylindrical. The entire body of experimental data suggests that the fundamental equations of fluid mechanics are in fact those listed below, and that they apply to any circumstance where a Newtonian fluid is flowing, in theory.

Viscosity, a characteristic of fluids, is produced when there is relative motion between the fluid layers or between the fluid and solid surface. Viscosity prevents this relative motion from happening.

Unfortunately, due to their all-encompassing nature, their analytical solution is challenging or impossible unless the circumstances are quite straightforward.

However,

These "Navier-Stokes equations" must be understood for the following reasons.

reasons:

1. They result in the analytical and precise resolution of some basic yet significant problems.

issues.

2. They serve as the foundation for additional chemical engineering research in various fields.

3. A few reasonable simplification assumptions can frequently result in

for many engineering problems, approximation solutions are eminently acceptable purposes. Typical examples can be found in the study of boundary layers, the use of films to cover substrates, waves, lubrication, and inviscid (irrotational) flow.

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At a speed of two times ten to the eighth and violent. 5, 40 times 10 to the power -9 meters is written as. This leads to the conclusion that frequency F is equivalent to 5.6 times. Turn 14 times every second. Therefore, the given electromagnetic radiation requires this frequency.

In this problem, we have a given violent electromagnetic radiation, and we need to determine the frequency that corresponds to that violent electromagnetic radiation.

The chosen wavelength is lambda. I called at five minutes and forty nanometers—540 times 10 to the power—or nine meters. Considering that one nanometer equals 10 to the power -9 meters. Now, sea upon lambda finds frequency.

The value of C is three in 2, ten to the power eight meters per second, violent, and the speed of light in a vacuum. 5, 40 times 10 to the power -9 meters is written as. This leads to the conclusion that frequency F is equivalent to 5.6 times. Turn 14 times every second. Therefore, the given electromagnetic radiation requires this frequency.

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The amount of work done to move 20 boxes each of weight 11.34 N onto an awaiting truck with back 1.65 m above the loading dock is 374.22 Joule.

Work done is calculated by the product of total force and displacement.

According to the question, total force done to lift the boxes is twenty times the weight of each box. So, the force required to lift all the blocks is,

Force = 20 × 11.34 = 226.8 N

As the back of the truck is 1.65 m above the loading dock, displacement done to move the boxes is 1.65 m.

So, the work done is,

Work = 226.8 × 1.65 = 374.22 Joule

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According to the research, the correct option is moments of both forces are equal. In the principle of moments, both moments of forces are equal.

It states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the point where two forces are equivalent when their effects on a rigid body are the same, that is, produce the same moment.

In this sense, two forces acting on an object are known as a couple whose torques about a point cause the object they act on to tend to rotate.

Therefore, we can conclude that following the equilibrium condition in the principle of moments, a structure of an object has to respond to the action of a moment with another of the same value and in the opposite direction.

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Answer:

t = 2.388 seconds

Explanation:

Initial velocity is 23.4 m/s

At the highest point, the velocity will be 0 m/s

We can use the equation

[tex]v = u+at[/tex]

V is the final velocity at the highest point

U is the initial velocity

A is the gravity pulling down on the ball

T is the time in seconds  

We plug in the numbers

[tex]0 = 23.4 - 9.8t[/tex]

[tex]t = 2.387755102[/tex]

ANSWER:

10.58 Nm

STEP-BY-STEP EXPLANATION:

Given:

Area (A) = 2.936 m²

Current (i) = 6.488 A

Magnetic field (B) = 1.108 T

Angle (θ)= 59.914°

To calculate the torque we must resort to the following formula:

We need to know the magnetic moment, as follows:

In this way we can calculate the torque:

Therefore, the magnitude of the torque on the loop is 10.58 Nm

Answer:

The car must be moving at a changing velocity but at a constant speed. This is caused when an object is changing direction but not its speed.

Explanation:

Since velocity is a vector, it is measured with both magnitude (the numerical value) and direction. Acceleration is the change in velocity over a time period, which makes acceleration also a vector.

Speed is a scalar, so it is only measured by its magnitude (the numerical value). Speed only changes if you:

1. slow down
2. speed up

There are 3 ways an object can accelerate:
1. by slowing down
2. by speeding up
3. by changing direction (turning)

Since the speed is the same, that means the car can't be speeding up or slowing down. Therefore, the car must be turning direction with a constant speed.