Question

The image below shows four soccer balls at different

locations on an uneven soccer field. Which ball has the
greatest amount of kinetic energy? Explain your answer.

Answer 1

Answer: letter d

Explanation:

Answer 2

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than
`0`.

Explanation:

Consider an object of mass
`m`. If this object is moving at a speed of
`v`, the kinetic energy of this object would be:

`\displaystyle (1)/(2)\, m \cdot v^(2)`.

The speed
`v` of ball A, B, and C are all
`0`. Hence, the kinetic energy of these three balls would be
`0\!`.

The speed of ball D is greater than
`0`:
`v = 2\; \rm m \cdot s^(-1)`. The kinetic energy of this ball would be:

`\begin{aligned} {\rm KE} &= (1)/(2)\, m \cdot v^(2) \\ &= (1)/(2)* \rm 0.43\; \rm kg * \left(2\; \rm m \cdot s^(-1)\right)^(2)\\ &= 0.86\; \rm J\end{aligned}`.

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.