The mass of a body is increased by 10% and its velocity is decreased by 10% .The percentage change in its linear momentum is
Answers
Answer: Percentage change in linear momentum is 1%
Linear momentum decreases by 1%
Concept: linear momentum = mass x velocity
mass = mass of object
velocity = velocity of object
Explanation:
Assume an object of mass (m)
Assume the velocity of mass (v)
initial momentum = mass x velocity
initial momentum = mv
mass of the body is increased by 10%
new mass = m + m(0.1)
new mass = 1.1(m)
velocity is decreased by 10%
new velocity = v - v(0.1)
new velocity = 0.9 (v)
new momentum = new velocity x new velocity
new momentum = 1.1(m) x 0.9(v)
new momentum = 0.99mv
Now
percentage change =
(new momentum - initial momentum )*100/initial momentum
percentage change = (0.99mv - mv)*100/mv
percentage change = -0.01*100
percentage change = -1%
Answer: Percentage change in linear momentum is 1%
Linear momentum decreases by 1%
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