Question

An object of mass 5 kg falling freely 2 points
from a height of 80 m. Find the
momentum It will transfer to the
ground when it will hit the ground.
(Take downward acceleration to be
10 m/s2)
40 kgm/s
200 kgm/s
400 kgm/s
100 kgm/s

Answer 1

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.

Explanation: