1
Question
How
much momentum will a dumbbell 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.
How much momentum will a dumbbell 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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Solution
Mass
of the dumbbell, m
= 10 kg
Distance
covered by the dumbbell, s
= 80 cm = 0.8 m
Acceleration
in the downward direction, a
= 10 m/s2
Initial
velocity of the dumbbell, u
= 0
Final
velocity of the dumbbell (when it was about to hit the floor) = v
According
to the third equation of motion:
v2
= u2
+ 2as
v2
= 0 + 2 (10) 0.8
v
= 4 m/s
Hence,
the momentum with which the dumbbell hits the floor is
= mv
= 10 × 4 = 40 kg m s−1
Mass of the dumbbell, m = 10 kg
Distance covered by the dumbbell, s = 80 cm = 0.8 m
Acceleration in the downward direction, a = 10 m/s2
Initial velocity of the dumbbell, u = 0
Final velocity of the dumbbell (when it was about to hit the floor) = v
According to the third equation of motion:
v2 = u2 + 2as
v2 = 0 + 2 (10) 0.8
v = 4 m/s
Hence,
the momentum with which the dumbbell hits the floor is
= mv
= 10 × 4 = 40 kg m s−1
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