Question

An object has a kinetic energy of 32 J and a mass of 36 kg, how fast is the object moving?

Answer 1

1.33 m/s

Step-by-step explanation:

The formula for Kinetic Energy is given as:

`K.E=(1)/(2) mv^(2) \\`

Where, m is the mass and v is the velocity of the object. In order to tell how fast is the object moving we need to calculate its velocity.

Re-arranging the above equation and isolating v, we get

`2 K.E = mv^(2)\\\\v^(2) = (2 K.E)/(m)`

Putting values in this equation, we get:

`v^(2)=(2 * 32)/(36)\\\\ v^(2)=(16)/(9)\\\\ v=(4)/(3)\\\\  v=1.33`

Thus, the object is moving with a velocity of 1.33 m/s