what will be the magnitude of change in momentum imported by the fluid to A ball of mass 1 Kg if it falls from a height of 100m on the fluid and reward vertically upward with same speed
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Given
Height = 100m
mass = 1kg
As momentum = Mass × velocity
Then velocity just before touching fluid
v^2 = u^2 + 2gs
or
v^2 = 198
or
v = 14.1 m/s
now as rebound velocity = falling velocity
then
momentum 1 = 1 × 14.1 kg m/s
= 14.1 kg m/s
momentum 2 = 1× - 14.1 kg m/s
= - 14.1 kg m/s
now
change in momentum
= momentum1 -momentum2
= 14.1 - 14.1
= 28.2 kg m/s
hope it helps
Height = 100m
mass = 1kg
As momentum = Mass × velocity
Then velocity just before touching fluid
v^2 = u^2 + 2gs
or
v^2 = 198
or
v = 14.1 m/s
now as rebound velocity = falling velocity
then
momentum 1 = 1 × 14.1 kg m/s
= 14.1 kg m/s
momentum 2 = 1× - 14.1 kg m/s
= - 14.1 kg m/s
now
change in momentum
= momentum1 -momentum2
= 14.1 - 14.1
= 28.2 kg m/s
hope it helps
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