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Q. 55

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 290

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Short Answer

A granite cube slides down a frictionless ramp. At the bottom, just as it exits onto a horizontal table, it collides with a steel cube at rest. How high above the table should the granite cube be released to give the steel cube a speed of ?

The height of the table when the steel cube is released is

See the step by step solution

Step by Step Solution

Step 1. 

Mass of granite, Mass of steel cube, Speed of steel cube,

The angle of the slope,

Step 2. Analyze 

We need to figure out how far above the table the granite cube should move such that the steel cube collides with it at a specific velocity.

We will use both momentum and energy conservation to accomplish this. Consider a case in which a granite cube collides with a steel cube, and we treat it as an elastic collision. Object 2 is also at rest here. We don't need to think about the angle of the ramp because we need to think about the exact moment before and after the collision. As a result, we may compare this circumstance to a head-on collision.

Using the model's equation:

Step 3. Calculate

Applying conservation principle,

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