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CBSE Class 9 Answered

if the mass of a body is increased three times, how much velocity should be reduced so that the kinetic energy remains the same.
Asked by Saranya Krishnamurthy | 15 Feb, 2014, 04:48: PM
answered-by-expert Expert Answer

Let the initial velocity be u and new velocity be v.

K.E = 1/2 m u2

New K.E = 1/2 (3m) v2                      

Since, mass of a body is increased three times.

 Now,

1/2 m u2  =  3/2 m v2  

v = u / √3

v / u = 1/ √3

Therefore, velocity should be reduced to 1/√3 times of the initial value.

Answered by | 17 Feb, 2014, 09:07: AM

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