Problem 27 A skateboarder jumps on a moving... [FREE SOLUTION] (2024)

Problem 27 A skateboarder jumps on a moving... [FREE SOLUTION] (1)

Chapter 7

Problem 27

A skateboarder jumps on a moving skateboard from the side. Does the skateboardslow down or speed up in this process? Explain, using conservation ofmomentum.

Short Answer

Expert verified

Answer: The skateboard slows down when the skateboarder jumps on it from the side.

See the step by step solution

Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Define the initial situation

Before the skateboarder jumps on the skateboard, the skateboard is moving with a certain velocity and mass. Let's define the mass of the skateboard as M_s and the initial velocity of the skateboard as V_s.

Step 2: Define the situation after the skateboarder jumps on the skateboard

When the skateboarder jumps on the skateboard, their mass will influence the movement of the skateboard. Let's define the mass of the skateboarder as M_r and their velocity during the jump as V_r.

Step 3: Calculate the initial momentum of the skateboard and skateboarder

The initial momentum of the skateboard can be calculated as the product of its mass (M_s) and its initial velocity (V_s). Similarly, the initial momentum of the skateboarder is the product of their mass (M_r) and their velocity (V_r):Initial momentum of skateboard (P_s) = M_s * V_s Initial momentum of skateboarder (P_r) = M_r * V_r

Step 4: Calculate the final momentum of the combined system

After the skateboarder jumps on the skateboard, they land and both the skateboarder and skateboard are moving together. The final momentum of the system is the sum of the momenta of the skateboard and skateboarder:Final momentum of system (P_f) = (M_s + M_r) * V_fwhere V_f is the final velocity of the combined system (skateboard and skateboarder).

Step 5: Apply the conservation of momentum principle

According to the conservation of momentum principle, the total initial momentum of the individual parts of the system (the skateboard and skateboarder) must equal the final momentum of the combined system:P_s + P_r = P_f

Step 6: Analyze whether the skateboard slows down or speeds up

To determine whether the skateboard slows down or speeds up when the skateboarder jumps on it, we can compare the initial velocity of the skateboard (V_s) to the final velocity of the combined system (V_f) by substituting the expressions for P_s, P_r, and P_f from Steps 3 and 4 into the conservation of momentum equation from Step 5:M_s * V_s + M_r * V_r = (M_s + M_r) * V_fNow, we can solve for V_f and analyze the expression to see how it compares to V_s.If V_f > V_s, then the skateboard speeds up.If V_f < V_s, then the skateboard slows down.Since the final momentum of the system will always be equal to the initial momentum, and the total mass of the system has increased (M_s + M_r), the final velocity of the combined system (V_f) must be less than the initial velocity of the skateboard (V_s). So, we can conclude that the skateboard slows down when the skateboarder jumps on it from the side.

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Problem 27 A skateboarder jumps on a moving... [FREE SOLUTION] (2)

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Problem 27 A skateboarder jumps on a moving... [FREE SOLUTION] (2024)

FAQs

When a skateboarder jumps on a moving skateboard? ›

Expert-Verified Answer

When a skateboarder jumps on a moving skateboard from the side, the skateboard will slow down in this process. The law of conservation of momentum. According to the law of conservation of momentum, the total momentum of a closed system remains constant if no external forces act on it.

What force is responsible for pulling the skateboarder down the ramp? ›

“At the top of the ramp, the skaters have what we call gravitational potential energy—energy due to height above the ground. As they go down, it gets converted into kinetic energy, the energy of motion.”

How does friction affect the skateboarder's motion? ›

How does friction affect the skateboarder's ride? Answer: The greater the gravity, the faster the skateboarder goes and the lesser the gravity, the slower the skateboarder goes. The greater the friction, the slower the skateboarder goes and the lesser the friction, the faster the skateboarder goes.

Are impulse and force the same thing? ›

In summary, impulse and force are related but distinct concepts. While force is the push or pull that acts on an object, impulse is the product of force and time. Impulse determines the change in momentum of an object, while force determines the acceleration of the object.

Why does a moving skater continue moving? ›

Inertia is the tendency of an object to resist a change in its motion. Because of inertia, a resting object will remain at rest, and a moving object will keep moving. Objects with greater mass have greater inertia. To change the motion of an object, inertia must be overcome by an unbalanced force acting on the object.

What force keeps a skateboard moving? ›

At the same time, the force of friction pushes on the skateboard's wheels in the opposite direction of its motion. As long as the force of the skater's push is stronger than the force of friction, the skateboard continues to move forward.

What forces acted on the skater as he moved? ›

The kinetic frictional force is the only horizontal force that acts on the skater, and, since it is a resistive force, it acts opposite to the direction of the motion.

How does the skater's kinetic energy change as he moves down the ramp? ›

As the skateboarder goes down the ramp, potential energy is converted to kinetic energy. Because of friction, some of the energy in the system is converted to heat energy. Once the kinetic energy is converted to heat, the energy cannot be converted back to the potential or kinetic energy in the system. Q12.

What is Newton's first law in simple terms? ›

Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

What are the two forces that oppose motion? ›

We've seen here that friction and drag are two distinct forces that both oppose object motion. Friction involves two surfaces that are in contact with one another and in motion relative to each other, while drag forces involve one surface that's in motion relative to a fluid environment.

Does force produce acceleration? ›

An object accelerates when a net force acts on it. Recall the definition of acceleration: The cause of acceleration is force.

Is a thrust a force or not? ›

Force is a push or a pull. Thrust is the component of force acting perpendicular to a surface. A thrust is a force, but not every force can be counted as thrust.

Is impulse a vector? ›

Impulse is a vector, so a negative impulse means the net force is in the negative direction. Likewise, a positive impulse means the net force is in the positive direction. People mistake impulse with work. Both impulse and work depend on the external net force, but they are different quantities.

What is it called when you jump with a skateboard? ›

ollie: a jump performed by tapping the tail of the board on the ground; the basis of most skating tricks. railslide: a trick in which the skater slides the underside of the deck along an object, such as a curb or handrail.

What's a leaping move in skateboarding called? ›

The shortest crossword solution for Skateboarding leap is 5 letters long and is called OLLIE.

What are the forces acting on a moving skateboard? ›

While skateboarding or performing tricks, the skater and skateboard are always pulled toward the ground by the force of gravity. When two surfaces rub together, they create a force called friction, which opposes motion and acts in the opposite direction.

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