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A cat and a mouse are running with the same speed. If the weight of the cat is 20 times that of mouse, what is the ratio of their kinetic energy?

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:
Let the speed of cat and mouse be v m/s as their speeds are same.
Since, the cat weighs 20 times that of mouse, therefore,
If the mass of mouse = m
Then, the mass of cat = 20 m
Now, kinetic energy of cat = 1/2 x 20 m x v2 = 10 mv2
Kinetic energy of mouse = 1/2 x m x v2 = 1/2 mv2
Kinetic Energy of cat/ Kinetic Energy of mouse = 10/(1/2) = 20/1
Hence,
KE of cat : KE of mouse  is 20:1
Answered by Expert 4th June 2014, 3:23 PM
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