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Q. 31

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 178

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Short Answer

Your forehead can withstand a force of about before fracturing, while your cheekbone can withstand only about . Suppose a baseball traveling at strikes your head and stops in

a. What is the magnitude of the force that stops the baseball?

b. What force does the baseball exert on your head? Explain.

c. Are you in danger of a fracture if the ball hits you in the forehead? On the cheek?

(a) The magnitude of the force that stops the baseball is

(b) The magnitude of the force that the baseball exerts on your head is

(c) Cheek would be fractured if the ball hits you in the forehead.

See the step by step solution

Step by Step Solution

Step 1: Given information (part a)

Forehead withstand force is

Cheekbone withstand force is

Step 2: Explanation (part a)

In the ball will stop; So, we can calculate the acceleration by:

Now calculate the magnitude of the force that stops the baseball by

Step 3: Given information (part b)

Forehead withstand force is

Cheekbone withstand force is

Step 4: Explanation (part b)

The magnitude of the force that stops the baseball will be the same as the force exerted on your head by Newton's third law, So the force is .

Step 5: Given information (part c)

Forehead withstand force is

Cheekbone withstand force is

Step 6: Explanation (part c)

The forehead will not fracture because . Forehead can withstand this force but our cheek will fracture because . The cheek cannot withstand this much force and would fracture.

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