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Q.

How much momentum will a dumb-bell of mass 10 kg transfer to the floor if it falls from a height of 80 cm? Take its downward acceleration to be 10 m s–2 .

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Detailed Solution

Mass of dumb-bell,  m=10kg

Initial velocity, u=0

Final velocity, v=?

Distance, S=80cm=0.8m

Acceleration, a=10ms−2
We have v2−u2=2aS
v2−(0)2 = 2×10×0.8
v2=16
v=4ms−1
∴ Momentum of dumb-bell transferred to ground
P = mv=10×4 = 40kgms−1


 

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