Explanation:
It is given that
The kinetic energy of Mr. Thomson’s prius, K = 641300 J
He is moving with a velocity, v = 22 m/s
It is required to find the mass of Mr. Thomson’s prius.
Due to his motion, a kinetic energy will possess by him. The mathematical form of kinetic energy is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
Solving for m
[tex]m=\dfrac{2K}{v^2}[/tex]
Plugging all the values, we get :
[tex]m=\dfrac{2K}{v^2}\\\\m=\dfrac{2\times 641300}{(22)^2}\\\\m=2650\ kg[/tex]
So, the mass of Mr. Thomson’s prius is 2650 kg.