Question

A 52.0-kg sandbag falls off a rooftop that is 22.0 m above the ground. The collision between the sandbag and the ground lasts for a total of 17.0 ms. What is the magnitude of the average force exerted on the sandbag by the ground during the collision?

Answer 1

Answer:

sand is falling vertically with respect to trolley. Therefore there is no force in horizontal direction hence in horizontal direction momentum is conserved.

Let M= mass of trolley

m= mass of sandbag

v

1

= initial velocity

v

2

= final velocity ( to be found)

Then P

1

=(M+m)v

1

when the sand bag is empty the momentum is

P

2

=(M+0)v

2

Momentum is conserved in horizontal direction so

P

1

=P

2

⇒=v

2

=

M

(M+m)

v

1

=

300

300+25

×27×

18

5

=8.215m/s