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A sphere rolls down a ramp of height h. What is the total mechanical energy at t
A sphere rolls down a ramp of height h. What is the total mechanical energy at the top?
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Practice Questions
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Q1
A sphere rolls down a ramp of height h. What is the total mechanical energy at the top?
mgh
1/2 mv^2
mgh + 1/2 mv^2
0
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The total mechanical energy at the top is purely potential energy, which is mgh.
Questions & Step-by-step Solutions
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Q
Q: A sphere rolls down a ramp of height h. What is the total mechanical energy at the top?
Solution:
The total mechanical energy at the top is purely potential energy, which is mgh.
Steps: 5
Show Steps
Step 1: Understand that the total mechanical energy is the sum of potential energy and kinetic energy.
Step 2: At the top of the ramp, the sphere is not moving, so its kinetic energy is zero.
Step 3: The only energy present at the top is potential energy, which is due to its height.
Step 4: The formula for potential energy is PE = mgh, where m is mass, g is the acceleration due to gravity, and h is the height of the ramp.
Step 5: Therefore, the total mechanical energy at the top is equal to the potential energy, which is mgh.
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