a 1.2 kg ball drops vertically onto the floor, hitting with a speed of 25m/s. it rebounds with an initial speed of 10m/s. a) what impulse acts on the ball during the contact? b) if the ball is in contact with the floor for 0.20 s, what is the magnitude of the average force on the floor from the ball?

momentum down = 1.2 *25

momentum up = 1.2 * 10
change of momentum = 1.2 (25 + 10)
impulse is change of momentum

Force = change in momentum/change in time
= answer to part a / .2

To find the answers to these questions, we need to use the concepts of impulse and average force.

a) Impulse is defined as the change in momentum of an object. It can be calculated using the formula:

Impulse = (final momentum) - (initial momentum)

The momentum of an object is given by the product of its mass and velocity:

Momentum = mass × velocity

In this case, the ball drops onto the floor and rebounds, so we need to calculate the impulse during both events separately.

During the impact, the initial momentum of the ball is calculated as:

Initial momentum = mass × initial velocity = 1.2 kg × 25 m/s

The final momentum after the impact is given by the equation:

Final momentum = mass × final velocity = 1.2 kg × (-10 m/s) [negative sign indicates the opposite direction]

Therefore, the impulse during the impact is:

Impulse = Final momentum - Initial momentum

To find the impulse during the rebound, we need to calculate the initial momentum and final momentum after the rebound using the same method:

Initial momentum = mass × initial velocity = 1.2 kg × (-10 m/s)

Final momentum = mass × final velocity = 1.2 kg × 10 m/s

Again, we can find the impulse during the rebound by subtracting the initial momentum from the final momentum.

b) To find the magnitude of the average force on the floor, we can use the impulse-momentum relationship:

Impulse = Average force × time

Rearranging the formula, we get:

Average force = Impulse / time

Substituting the value of impulse from part a and the given time of contact (0.20 s), we can calculate the average force on the floor.