A ball of mass 2 kg is dropped from a height of 5 m. On striking the ground it rebounds with same speed
with which it struck the ground. Find the magnitude of net change in its momentum just after striking
the ground. [Take, g = 10 m/s?]
Answers
Answer:
with which it struck the ground. Find the magnitude of net change in its momentum just after striking
the ground. [Take, g = 10 m/s?]
Answer:
mass, m = 1kg
height, s = 20m
initial velocity of ball, u = 0m/s
acceleration, a = 10m/s^2
◆Using, v^2=u^2 + 2as
= 0 + 2×10 ×20
=√ 400
v = 20m/s
●Now, let us take upward direction as positive and downward direction as negative.
Initial momentum of the ball (before striking the ground) = m×v
= 1×(-20) (velocity is downward, hence negative)
= -20kgm/s
◆Now, when the ball strikes and rebounds, its velocity becomes +20m/s (after striking, it moves upward, hence positive velocity)
Final momentum (after striking the ground) = m×v
=. 1×(+20)
= +20kgm/s
●Change in momentum = Final momentum - Initial momentum
= 20kgm/s - (-20kgm/s)
= 40kgm/s in upward direction.