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Q.20

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 199

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Short Answer

A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed. What is the ratio of the normal force to the gravitational force?

The ratio of the normal force to the gravitational force is .

See the step by step solution

Step by Step Solution

Step 1: Given information

Given in the question that, A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed.

Step 2: Explanation

From the information we observed that is the result of and

Here,

The mass of the roller coaster

The acceleration due to gravity

The radius of the circular loop

- The velocity

Therefore,

Since roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed.

Therefore,

Hence, the ratio of the normal force to the gravitational force is

Step 7: Final answer

The ratio of the normal force to the gravitational force is .

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