A small ramp makes an angle, θ, with the ground. Points A and B are on the ramp. The ramp is situated above a dug-out trough, D meters deep.
A small rubber ball is released from rest at Point A and allowed to roll down the ramp to Point B and allowed to drop freely from Point B to the bottom of the trough at Depth D. The ball first hits the ground at Point C, a horizontal distance X from the bottom of the ramp.
Figure 2 shows how X varies with θ for different trough depths D, in meters, when a rubber ball slides down the ramp.
Figure 3 shows how X varies with θ for different trough depths D if the ball rolls down the ramp.
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Question 1 of 5
1. Question
Question 1:
Based on Figures 1 and 2, for the ball either rolling or sliding down the ramp, and at D = 2m, as θ increases from 25° to 45°, X:CorrectIncorrect -
Question 2 of 5
2. Question
Question 2:
For the rolling ball at θ = 20°, if D = 1.5, X would most likely be
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Question 3 of 5
3. Question
Question 3:
For the ball sliding down the ramp and D = 3m, if X had been plotted every 2.5° instead of every 5° between θ = 5° and θ = 45°, X would most likely have reached its maximum at which of the following θ?
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Question 4 of 5
4. Question
Question 4:
If D = 3m for the rolling ball and θ = 50°, X will most likely be closest to which of the following?
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Question 5 of 5
5. Question
Question 5:
As the ball rolls or slides down the ramp, which of the following graphs best illustrates the ball’s kinetic energy as it changes over time?
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