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A child is moving on a skateboard at the speed of 2 ms1. After a force acts on him, his speed becomes 3 ms1. Find the work done by the external force on the child, given the mass of the child is 20 kg.


Options:
A .   100 J
B .   50 J
C .   20 J
D .   320 J
Answer: Option B
:
B

Let initial velocity of the child be v1 and final velocity be v2
Given, v1=2 ms1, v2=3 ms1 and mass of the child =20 kg.
Since the child is in motion, he will have a kinetic energy of mv22, which will be increased after an application of force by an external agent on him.
Now, Applying work energy theorem ,
Work done by the external force on the child =mv222mv212


=20×(94)2


=10×5=50 J



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