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A 500 kg roller coaster car reaches the top of the second hill, 80 meters above the ground. How much potential energy does the roller coaster car have at the second hill? 392,0 oo J 4,082 J 40,00 o J 61.25 J

Question

A 500 kg roller coaster car reaches the top of the second hill, 80 meters above the ground. How much potential energy does the roller coaster car have at the second hill? 392,0 oo J 4,082 J 40,00 o J 61.25 J

A 500 kg roller coaster car reaches the top of the second hill, 80 meters above the ground.
How much potential energy does the roller coaster car have at the second hill?
392,0 oo J
4,082 J
40,00 o J
61.25 J

Solution

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LylaElite · Tutor for 8 years

Answer

To calculate the potential energy of the roller coaster car at the top of the second hill, we can use the formula for gravitational potential energy:<br /><br />\[ \text{Potential Energy} (PE) = m \cdot g \cdot h \]<br /><br />where:<br />- \( m \) is the mass of the object (500 kg),<br />- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \)),<br />- \( h \) is the height above the ground (80 meters).<br /><br />Substituting the given values into the formula:<br /><br />\[ PE = 500 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 80 \, \text{m} \]<br /><br />\[ PE = 392,000 \, \text{Joules} \]<br /><br />Therefore, the potential energy of the roller coaster car at the top of the second hill is 392,000 J.
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