Question

a ball of mass m is dropped from height h strike to the ground and rebounce then find the relation between velocity and height before anf after collision?

Answer 1

Answer:

Answer

Let height be 'h' from where the ball of mass m is dropped onto a floor.

Before collision

v

1

=

2gh

v

1

=0

After collision

v

2

=−

2gh

v

2

=0

Now, the force is

F=ma

F=m×

dt

d(v

2

−v

1

)

F=m×

t

2

2gh

....(I)

Now, from equation of motion

v=u+gt

2gh

=gt

t=

g

2h

Now, the total time

T=2t

T=2

g

2h

Now, put the value of t in equation (I)

F=m×

t

2

2gh

F=m×

2

g

2h

2

2gh

F=mg

Hence, the force is exerted by the ball on the floo rmg