CBSE Class 11-science Answered
IF LINEAR MOMENTUM OF A BODY IS INCREASED BY 50% OF ITS INITIAL VALUE THEN WHAT WILL BE THE % CHANGE IN KINETIC ENERGY OF THE BODY ?
Asked by pardeepkumar2281 | 26 Sep, 2018, 20:55: PM
Expert Answer
momentum is increased by 50% means, speed is increased by 50% because mass remains constant.
Kinetic Energy E = (1/2)×m×v2 ..................(1)
if we differentiate eqn.(1), we get, dE = (1/2)×m×2v×dv ..........(2)
from (1) and (2), we get, ( dE/E ) = 2×(dv/V) or (dE/E)×100 = 2×(dv/V)×100 .................(3)
from eqn.(3), we say that percentage change in kinetic energy is twice the percentage change of speed.
hence if speed increases by 50%, energy increases by 100%
Answered by Thiyagarajan K | 27 Sep, 2018, 20:23: PM
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