Question

Which of the following objects has the greatest kinetic energy?a.)an object with a mass of 10m and a velocity of vb.)an object with a mass of 2m and a velocity of 3v

Answer 1

Given:

a) Object with mass 10m and velocity v

b) Object with mass 2m and velocity 3v

Required: The object has the greatest kinetic energy.

Step-by-step explanation:

The kinetic energy for an object with a mass of 10m and velocity v will be

`\begin{gathered} K.E._a=(1)/(2)*10m* v^2 \\ =5mv^2 \end{gathered}`

The kinetic energy for an object with a mass of 2m and velocity of 3v will be

`\begin{gathered} K.E._b=(1)/(2)*2m*(3v)^2 \\ =9mv^2 \end{gathered}`

Final Answer: The object with a mass of 2m and velocity of 3v has the greatest kinetic energy.