Question

If momentum of an object is increased
10% then its kinetic energy will increase by

Answer 1

Answer:

Increase in KE is 21% .

Explanation:

The relation between momentum and kinetic energy is

p = √(2M*KE)

Let initial momentum be ‘p’

Then Final momentum p'= p + 10% of p = (11/10)p

Now, initial momentum p = √(2M*KE)

Final momentum p' = (11/10)p = √{2M*(KE)'}

=> (11/10)√(2M*KE) = √{2M*(KE)'}

=> (11/10)² (2M*KE) = 2M*(KE)'

=> (KE)' = (121/100) KE

Increase in KE = (121/100)KE - KE = (21/100)KE

% increase in KE = (0.21KE / KE)*100 = 21

Hence , increase in KE is 21% .