Small beads of mass 4.5 g each are dropped from height h = 20m on to a floor at a constant rate of 1000 beads per second. If the collision is perfectly inelastic the force acting on the floor at t = 10 second after they start hitting the floor is ____

Engineering

Physics

Collision

Question

Small beads of mass 4.5 g each are dropped from height h = 20m on to a floor at a constant rate of 1000 beads per second. If the collision is perfectly inelastic the force acting on the floor at t = 10 second after they start hitting the floor is _____N.

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Mg' of beads which has fallen till t = 10 sec

$= 1000 \times 10 \times \frac{4 .5}{1000} \times 10 = 450 N$

Rate of change of momentum $\frac{dp}{dt} = \frac{dm}{dt} \times v$

$= \frac{1000 \times 45}{1000} \times 20 = 90 N$

Total force = 450 + 90 = 540 N

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