A pendulum bob of mass m is released from rest at height h - Scottish Highers Physics - Question 4 - 2023
Question 4
A pendulum bob of mass m is released from rest at height h.
The bob reaches a speed v at the lowest point of its swing.
Neglecting air resistance, the speed of the ... show full transcript
Worked Solution & Example Answer:A pendulum bob of mass m is released from rest at height h - Scottish Highers Physics - Question 4 - 2023
Step 1
A) changing the height to 4h
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Answer
Increasing the height to 4h increases the potential energy, but does not double the speed at the lowest point.
Step 2
B) changing the height to 2h
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Answer
Using the principles of conservation of energy, if the height is changed to 2h, the speed at the lowest point will not double.
Step 3
C) changing the height to h/2
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Answer
If the height is halved (h/2), the potential energy decreases, leading to a greater speed at the lowest point. However, this does not double the speed.
Step 4
D) changing the mass of the bob to 2m
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Changing the mass of the bob does not affect the speed at the lowest point, as the instantaneous speed derived from energy considerations remains the same.
Step 5
E) changing the mass of the bob to m/2
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Answer
Similar to option D, altering the mass does not impact the speed achieved at the lowest point of the swing due to conservation of energy principles.
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