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Q. 55

Expert-verified
Found in: Page 290

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# 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 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,