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
[tex]\dfrac{1}{2}m_{r}v^2=\dfrac{1}{2}m_{setter}v^2[/tex]
Put the value into the formula
[tex]\dfrac{1}{2}\times5.0\times v^2=\dfrac{1}{2}\times12\times(3.7)^2[/tex]
[tex]82.14=\dfrac{1}{2}\times5.0\times v^2[/tex]
[tex]v^2=\dfrac{2\times82.14}{5.0}[/tex]
[tex]v=\sqrt{\dfrac{2\times82.14}{5.0}}[/tex]
[tex]v=5.73\ m/s[/tex]
Hence, The speed of rabbit is 5.73 m/s.