A ball on a carpet, while we pull it

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In summary, the problem involves a ball on a carpet being pulled with a mass of 7 kilograms and an acceleration of 2m/s^2. The force being used to pull the carpet is asked for, as well as the acceleration of the center of gravity, which is different due to the ball only rolling and not sliding. The equations used are F=ma and Jar=Fr. The results calculated are F=14 N and a=1.4 m/s^2, but there is uncertainty about the answer and whether the radius of the ball was given.
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Cuzo
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Homework Statement


I have a problem. Imagine there is a ball on a carpet, I start to pull the carpet. The mass of the ball is 7 kilograms and the acceleration of the whole thing is 2m/s^2. What is the force with which I am pulling the carpet. Also what is the acceleration of the center of gravity (it is different as the ball is only rolling and not sliding on the carpet).
Thank you for answering.

http://www.shrani.si/f/3N/mM/4CG1g2q2/neimenovana.jpg

Homework Equations


F=ma2
Jar=Fr

The Attempt at a Solution


I came up with F=14 N and a=1,4ms2 but am very unsure of the results.
 
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  • #2
Why should the the two accelerations different? Is the radius of the ball not supplied?
 

FAQ: A ball on a carpet, while we pull it

1. How does the ball move on the carpet when we pull it?

The movement of the ball on the carpet while being pulled is due to the force of friction between the ball and the carpet. As we pull the carpet, the friction between the two surfaces causes the ball to roll in the opposite direction.

2. Why does the ball stop moving on the carpet when we stop pulling?

When we stop pulling the carpet, the force of friction between the ball and the carpet also stops. Without this force, the ball loses its momentum and eventually comes to a stop.

3. Can we change the direction of the ball's movement on the carpet by pulling it in different ways?

Yes, the direction of the ball's movement on the carpet can be changed by pulling it in different ways. The angle and direction of the pull will affect the direction in which the ball rolls.

4. What other factors can affect the movement of the ball on the carpet while being pulled?

The movement of the ball on the carpet while being pulled can also be affected by the weight and shape of the ball, the texture of the carpet, and the strength of the pull.

5. How does the ball's movement on the carpet while being pulled relate to real-life physics principles?

The ball's movement on the carpet while being pulled is a demonstration of Newton's laws of motion. The first law states that an object in motion will stay in motion unless acted upon by an external force, and the second law states that the force applied to an object is directly proportional to its mass and acceleration.

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