Question

A 5.0-kgkg rabbit and a 12-kgkg Irish setter have the same kinetic energy. If the setter is running at speed 3.7 m/sm/s, how fast is the rabbit running

Answer 1

The speed of rabbit is 5.73 m/s.

Step-by-step explanation:

Given that,

Mass of rabbit = 5.0 kg

Mass of Irish setter = 12 kg

Speed of setter = 3.7 m/s

Both have the same kinetic energy.

We need to calculate the speed of rabbit

Using formula of kinetic energy

`(1)/(2)m_(r)v^2=(1)/(2)m_(setter)v^2`

Put the value into the formula

`(1)/(2)*5.0* v^2=(1)/(2)*12*(3.7)^2`

`82.14=(1)/(2)*5.0* v^2`

`v^2=(2*82.14)/(5.0)`

`v=\sqrt{(2*82.14)/(5.0)}`

`v=5.73\ m/s`

Hence, The speed of rabbit is 5.73 m/s.