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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.

Respuesta :

Answer:

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

Mass is a unit of measurement for the quantity of matter in a body. The kilogram (kg) is the SI unit of mass. The mass of the volleyball will be 0.25 Kg.

What exactly is mass?

It is the most fundamental feature of matter and one of the fundamental quantities in physics. Mass is a unit of measurement for the quantity of matter in a body. The kilogram is the SI unit of mass (kg).

The given data in the problem is;

v is the final velocity= -25.1 m/sec

u is he initial velocity = 4.3 m/sec

I is the impulse delivers to the ball = −7.3 kg · m/s,

m is the mass of the volleyball =? Kg

The impulse is defined as the product of mass and change of velocity.

[tex]\rm I = m(v-u) \\\\ \rm m= \frac{I}{v-u} \\\\ \rm m= \frac{-7.3}{-25.1-4.3} \\\\ m= \frac{-7.3}{-29.4} \\\\ \rm m= 0.248\ Kg[/tex]

Hence the mass of the volleyball will be 0.25 Kg.

To learn more about the mass refer to the link;

https://brainly.com/question/19694949