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

Answer:

The speed of rabbit is 5.73 m/s.

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

$\dfrac{1}{2}m_{r}v^2=\dfrac{1}{2}m_{setter}v^2$

Put the value into the formula

$\dfrac{1}{2}\times5.0\times v^2=\dfrac{1}{2}\times12\times(3.7)^2$

$82.14=\dfrac{1}{2}\times5.0\times v^2$

$v^2=\dfrac{2\times82.14}{5.0}$

$v=\sqrt{\dfrac{2\times82.14}{5.0}}$

$v=5.73\ m/s$

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