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Q.18

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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 car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have at the top without flying off the road?

The maximum speed that the car can have without flying off the road is

See the step by step solution

Step by Step Solution

Step 1: Given information

Given in the question that, A car drives over the top of a hill that has a radius of .

Step 2: Apply the equation of motion 

Let's consider the information given in the question

Car does not fly until force does not become zero or less than zero

Here,

indicates the weight of the car

shows the normal force acting on the car

remains the mass of the car

is the velocity of the car

remains the radius of the circular path

When

Step 3: Apply the expression of velocity

From the information, we know that and

Therefore,

Step 4: Final answer

The maximum speed that the car can have without flying off the road is

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