PLEASE HELP <3

what is the mass of mr. thomson’s prius if his kinetic energy is 641300 J when he is driving at a velocity of 22 meters per second on the highway? please show work

Respuesta :

Answer:

The mass of Mr. Thomson’s prius is 2650 kg.

Explanation:

We are given with, the kinetic energy of  Mr. Thomson’s prius is 641300 J

He is moving with a velocity of 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.