iv) A ball can be rolled down one of three different ramps, as shown in the figure. The final elevation loss of each of the ramps is the same. Neglecting friction, for which ramp will the speed of the ball be the highest at the bottom? a. The speed of the ball will be the same for all ramps. b. Ramp Y c. Ramp Z d. Ramp X 15 Y Z

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question:**

A ball can be rolled down one of three different ramps, as shown in the figure. The final elevation loss of each of the ramps is the same. Neglecting friction, for which ramp will the speed of the ball be the highest at the bottom?

**Options:**

a. The speed of the ball will be the same for all ramps.  
b. Ramp Y  
c. Ramp Z  
d. Ramp X  

**Explanation of the Diagram:**

The diagram shows three ramps labeled X, Y, and Z. Each ramp begins at the same height and ends at the same final elevation. The paths of the ramps differ in shape:

- Ramp X has a smooth, steep slope.
- Ramp Y shows an irregular, undulating path with dips.
- Ramp Z features two large ups and downs, resembling a series of hills.

**Analysis:**

Since the final elevation loss is the same for each ramp and friction is neglected, the conservation of energy principle indicates that the ball will have the same kinetic energy, and thus the same speed, at the bottom of each ramp. Therefore, option (a) is correct.
Transcribed Image Text:**Question:** A ball can be rolled down one of three different ramps, as shown in the figure. The final elevation loss of each of the ramps is the same. Neglecting friction, for which ramp will the speed of the ball be the highest at the bottom? **Options:** a. The speed of the ball will be the same for all ramps. b. Ramp Y c. Ramp Z d. Ramp X **Explanation of the Diagram:** The diagram shows three ramps labeled X, Y, and Z. Each ramp begins at the same height and ends at the same final elevation. The paths of the ramps differ in shape: - Ramp X has a smooth, steep slope. - Ramp Y shows an irregular, undulating path with dips. - Ramp Z features two large ups and downs, resembling a series of hills. **Analysis:** Since the final elevation loss is the same for each ramp and friction is neglected, the conservation of energy principle indicates that the ball will have the same kinetic energy, and thus the same speed, at the bottom of each ramp. Therefore, option (a) is correct.
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