Question

What is the velocity of an object with a kinetic energy of 100 , 000 J 100,000 J100, comma, 000, start text, space, J, end text and a mass of 800 kg 800 kg800, start text, space, k, g, end text? Round your answer, if necessary, to the nearest hundredth.

Answer 1

Given:

Kinetic energy (KE)= 100,000 J

Mass (m)= 800 kg

To find:

The velocity of the object to the nearest hundredth.

Solution:

We know that,

`KE=(1)/(2)mv^2`

where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).

Put KE=100000 and m=800 in the above formula.

`100000=(1)/(2)(800)v^2`

`100000=400v^2`

Divide both sides by 400.

`(100000)/(400)=v^2`

`250=v^2`

Taking square root on both sides.

`√(250)=v`

`v=15.8113883`

`v\approx 15.81`

Therefore, the velocity of the object is 15.81 m/s.