Get Updates
Subscribe to receive instant notifications for new study materials and important updates.
How much momentum will a dumb-bell of mass 10 kg transfer to t... - Science
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.
Here's how to calculate the momentum transferred:
Calculate the final velocity of the dumb-bell before hitting the floor:
Given:
Mass (m) = 10 kg
Height (h) = 80 cm = 0.8 m
Initial velocity (u) = 0 m/s (since it falls)
Acceleration (a) = 10 m/s² (downward acceleration)
Using the kinematic equation v² = u² + 2as:
v² = 0² + 2 * 10 m/s² * 0.8 m
v² = 16
v = √16 = 4 m/s (downward)
Calculate the momentum just before impact:
Momentum (p) = mass * velocity
p = 10 kg * 4 m/s = 40 kg m/s
The dumb-bell will transfer this amount of momentum to the floor upon impact.