Question

PLEASE HELP SOON

A car has a kinetic energy of 4.32 x 10^5 J when traveling at a speed of 23 m/s. What is its mass? (Show all work and include units of measure)

Answer 1

The mass of the car is 1633 kg.

Step-by-step explanation:

Kinetic energy is the energy attained by the object when it is in motion. So the kinetic energy exhibited by any object is directly proportional to the mass of the object as well as the square of velocity of the object.

Thus as here the kinetic energy is given as
`4.32 * 10^(5)` J and speed or velocity is given a 23 m/s, the mass (m) of the object can be found as

`\text {Kinetic Energy}=(1)/(2) * \text { m } * \text { speed }^(2)`

`4.32 * 10^(5)=(1)/(2) * m * 23 * 23`

Thus,

`\text {m}=(4.32 * 10^(5) * 2)/(23 * 23) = 1633 \mathrm{kg}`