Question

What is the velocity of a 1500 kg car if it’s kinetic energy is 350kj?

Answer 1

The kinetic energy of an object is given by the following formula:

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

Where:

`\begin{gathered} K=kinetic\text{ energy} \\ m=\text{ mass} \\ v=\text{ velocity} \end{gathered}`

Since we are asked to determine the velocity we will solve for "v" in the formula. First, we multiply by 2:

`2K=mv^2`

Now, we divide both sides by "m":

`(2K)/(m)=v^2`

Now, we take the square root to both sides:

`\sqrt{(2K)/(m)}=v`

Now, we plug in the values:

`\sqrt{(2(350000J))/(1500kg)}=v`

Solving the operations:

`21.6(m)/(s)=v`

Therefore, the velocity is 21.6 m/s.