Question

A woman of mass 50 kg is swimming with a velocity of 1.6 m/s. If she stops stroking and glides to a stop in the water, what is the impulse of the force that stops her?

Answer 1

Impulse of force = -80 Ns

Step-by-step explanation:

Given the following data;

Mass = 50kg

Initial velocity = 1.6m/s

Since she glides to a stop, her final velocity equals to zero (0).

Now, we would find the change in velocity.

`Change \; in \; velocity = final \; velocity - initial \; velocity`

Substituting into the equation above;

Change in velocity = 0 - 1.6 = 1.6m/s

`Impulse \; of \; force = mass * change \; in \; velocity`

Substituting into the equation, we have;

`Impulse \; of \; force = 50 * -1.6`

Impulse of force = -80 Ns

Therefore, the impulse of the force that stops her is -80 Newton-seconds and it has a negative value because it is working in an opposite direction, thus, bringing her to a stop.