# Impulse Problem: Find Mass, Height & Impulse

• chocolatelover

## Homework Statement

A ball of mass .110 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of .800 m. What impulse was given to the ball by the floor?

I=ΣFΔt
Δp=I

## The Attempt at a Solution

Could someone please tell me if this is the correct formula?

Thank you very much

Hi chocolatelover! Both of your equations look right but need some minor tweaking.

For starters (I have no clue why, but...) the symbol for impulse is a capitol J.

So J = Δp for instance.

Your first equation should be extended a bit more.

J = ΣFΔt would give you an approximation for impulse however if you wanted the exact value of J you would need to make Δt -> 0, and sum up an infinite number tiny bits force.

A more concrete definition would be $$J = \int_{t_i}^{t_f}{F dt}$$

Thank you very much

Does this look right?
integral from 1.25 to .800 (.110kg)(9.8m/s^2)dt

=.8624-1.35
=-.4876

Thank you very much