Question
A 1.0 kg ball is bounced high in the air. What is its total kinetic energy when it reaches its highest point?(1 point)
Responses
40.5 joules
40.5 joules
30.0 joule
30.0 joule
100.0 joules
100.0 joules
50.0 joules
50.0 joules
0 joules
Responses
40.5 joules
40.5 joules
30.0 joule
30.0 joule
100.0 joules
100.0 joules
50.0 joules
50.0 joules
0 joules
Answers
GPT-4o mini
At the highest point of its bounce, the ball momentarily comes to rest before falling back down, which means its velocity is zero. Since kinetic energy (KE) is calculated using the formula:
\[
KE = \frac{1}{2} mv^2
\]
where \(m\) is the mass and \(v\) is the velocity, at the highest point, the kinetic energy will be:
\[
KE = \frac{1}{2} \cdot 1.0 \, \text{kg} \cdot (0 \, \text{m/s})^2 = 0 \, \text{joules}
\]
Therefore, the total kinetic energy of the ball when it reaches its highest point is **0 joules**.
\[
KE = \frac{1}{2} mv^2
\]
where \(m\) is the mass and \(v\) is the velocity, at the highest point, the kinetic energy will be:
\[
KE = \frac{1}{2} \cdot 1.0 \, \text{kg} \cdot (0 \, \text{m/s})^2 = 0 \, \text{joules}
\]
Therefore, the total kinetic energy of the ball when it reaches its highest point is **0 joules**.