Question

The table below shows the energy of a 10 kg ball as a function of velocity. How much energy will the ball have at 10 m/s?

velocity (m/s) 0, 2, 3, 6, 10
Energy (joules) 0, 20, 45, 180, ??

Answer 1

Answer:

At $v=10\ ms^{-1}$ energy of the ball will be = $500\ Joules$

Step-by-step explanation:

Given:

Mass of ball =10 kg

The table for velocity vs Energy is given.

Velocity$(ms^{-1})=0,2,3,6,10$

Energy$(Joules)=0,20,45,180,E$  

Energy is in terms of velocity is given by:

$E=\frac{1}{2}mv^2$

where $m$ represents mass and $v$ represents velocity.

∴ at velocity = $10\ ms^{-1}$

Energy = $E=\frac{1}{2}(10)(10)^2$

$E=5\times100$

∴ $E =500\ Joules$

∴ At $v=10\ ms^{-1}$ energy of the ball will be = $500\ Joules$