A member of the volleyball team spikes the ball. During this process, she changes the velocity of the ball from 4.3 m/s to −25.1 m/s along a certain direction. If the impulse she delivers to the ball is −7.3 kg · m/s, determine the mass of the volleyball in kilograms.

0.25kg

Explanation:

Impulse is defined as the product of mass of an object and its velocity.

According to newtons second law,

Force (F) = mass (m) ×acceleration (a)

Where acceleration (a) = change in velocity/time(t)

a = final velocity (v)-initial velocity (u)/time taken (t)

Substituting this in the formula for calculating force;

F = ma

F = m(v-u)/t

Ft = m(v-u) = Impulse

Using Impulse = m(v-u)

Given impulse = -7.3kgm/s; v = -25.1m/s; u = 4.3m/s m= ?

Substituting in the formula for impulse we will have;

-7.3 = m(-25.1 - 4.3)

-7.3 = -29.4m

m = -7.3/-29.4

m = 0.25kg

The mass of the body is 0.25kg