Wolfie554
contestada

A 2.3 kg ball has 76 J of kinetic energy. How fast is it moving? Show all work and use correct units of measurement for the answer to get full credit.

Respuesta :

Answer:

8.13 m/s

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass in kg

v is the velocity in m/s

To find the velocity we make v the subject of the equation

That's

[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]

From the question

k = 76 J

m = 2.3 kg

We have

[tex]v = \sqrt{ \frac{2 \times 76}{2.3} } = \sqrt{ \frac{152}{2.3} } \\ = 8.129388...[/tex]

We have the final answer as

8.13 m/s

Hope this helps you