Step-by-step 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 :
![K=(1)/(2)mv^2](https://img.qammunity.org/2021/formulas/physics/high-school/1n8zoadcyy68itk65sih98e6n1qc3hwdt9.png)
Solving for m
![m=(2K)/(v^2)](https://img.qammunity.org/2021/formulas/physics/middle-school/5bebyxzp7h4966k6g0d2nsd341en0ztvrs.png)
Plugging all the values, we get :
![m=(2K)/(v^2)\\\\m=(2* 641300)/((22)^2)\\\\m=2650\ kg](https://img.qammunity.org/2021/formulas/physics/middle-school/pf8fbcy4bzj6qlvc83ns4h6p4gv4l51u2w.png)
So, the mass of Mr. Thomson’s prius is 2650 kg.