heya....
if the momentum of a body increases by 20% find the percentage increase in its kinetic energy ?
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If the increase in momentum is due to an increase in speed, then the increase in KE = 44%. If theincrease in momentum is due to an increase in mass, then theincrease in KE = 20%. If both mass and speed are varying, then the increase in KE is indeterminate.
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Answer:
Percentage increase by 20%
So,
Percent E = P2² - P1² / P1² X 100
Let P1 = 100
P2 = 120
Percent E = (120)² - (100)² / (100)² X
100
= (120)² - (100)² / (100)
= (120+100) (120 - 100) / 100
= 220 X 20 / 100
= 44%
So , kinetic energy increases by 44%.
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