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Chapter 9: Q. 5 (page 227)

A 0.2 kg plastic cart and a 20 kg lead cart both roll without friction on a horizontal surface. Equal forces are used to push both carts forward a distance of 1 m, starting from rest. After traveling 1 m, is the kinetic energy of the plastic cart greater than, less than, or equal to the kinetic energy of the lead cart? Explain.

Short Answer

Expert verified

Kinetic energy of both cart are equal.

Step by step solution

01

Given

A 0.2 kg plastic cart and a 20 kg lead cart both roll without friction on a horizontal surface. Equal forces are used to push both carts forward a distance of 1 m. starting from rest.

02

Explanation

Work done by a constant force F in moving a body a distance d is

W=F d

So the work done for both cart is same

and as there is no loss on friction, this work will get converted into kinetic energy.

KEp=12mPvP2=FdKEL=12mLvL2=Fd

This confirms that the kinetic energy will be same in both carts

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