Question

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.

Answer 1

8.13 m/s

Step-by-step explanation:

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

`k = (1)/(2) m {v}^(2) \\`

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

`v = \sqrt{ (2k)/(m) } \\`

From the question

k = 76 J

m = 2.3 kg

We have

`v = \sqrt{ (2 * 76)/(2.3) } = \sqrt{ (152)/(2.3) } \\ = 8.129388...`

We have the final answer as

8.13 m/s

Hope this helps you