Kinetic energy of a body is increased by 300%. Find the percentage increase in momentum.
Answers
Explanation:
11th
Physics
Work, Energy and Power
Kinetic Energy
Kinetic energy of a particl...
PHYSICS
Kinetic energy of a particle is increased by 300%. Find the percentage increase in its momentum.
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ANSWER
When the kinetic energy increase by 300 %, new kinetic energy will be
K
′
=K+300 K
K
′
=K+3K
k;=4K
We know that K.E. K =
2m
p
2
(m is the mass object )
Therefore, eq. (i) become
2m
p
′
2
=4
2m
p
2
p
′
2=4p
2
p
′
4
p
2
p
′
=2p (ii)
% change in mornentum =
p
p
′
−p
×100
=
p
2P−p
×100 % = 1×100=100 %
Therefore, increases in momentum is 100 %
Answer: 100%
Explanation: When the kinetic energy increase by 300 %, new kinetic energy will be :-
K′=K+300 K
K′=K+3K
k'=4K
We know that K.E. K = p²÷2m (m is the mass object)
Therefore, eq. (i) become
p′2÷2m = (4)×p²÷2m
p′2=4p²
p'√4p²
p'=2p
Percentage change in momentum=(p'-p÷p)×100
=(2p-p)÷p × 100% ⇒ 1×100=100%
Therefore,the increase in momentum is 100%
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