QuestionMay 25, 2025

Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 10.0m/s Use the equation, KE=m^ast v^2/2 500J 10,000 J 1000J 5,000J

Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of 10.0m/s Use the equation, KE=m^ast v^2/2 500J 10,000 J 1000J 5,000J
Determine the kinetic energy of a 100-kg roller coaster car that is moving with a speed of
10.0m/s
Use the equation, KE=m^ast v^2/2
500J
10,000 J
1000J
5,000J

Solution
4.6(297 votes)

Answer

5,000 J Explanation 1. Identify the given values Mass m = 100 \, \text{kg}, Speed v = 10.0 \, \text{m/s}. 2. Apply the kinetic energy formula Use **KE = \frac{1}{2}mv^2** to calculate kinetic energy. 3. Calculate the kinetic energy KE = \frac{1}{2} \times 100 \, \text{kg} \times (10.0 \, \text{m/s})^2 = 5000 \, \text{J}.

Explanation

1. Identify the given values<br /> Mass $m = 100 \, \text{kg}$, Speed $v = 10.0 \, \text{m/s}$.<br /><br />2. Apply the kinetic energy formula<br /> Use **$KE = \frac{1}{2}mv^2$** to calculate kinetic energy.<br /><br />3. Calculate the kinetic energy<br /> $KE = \frac{1}{2} \times 100 \, \text{kg} \times (10.0 \, \text{m/s})^2 = 5000 \, \text{J}$.
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