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IP An archer shoots a 0.024-kg arrow at a target with a

Chapter 5, Problem 65GP

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QUESTION:

Problem 65GP

IP An archer shoots a 0.024-kg arrow at a target with a speed of 54 m/s. When it hits the target, it penetrates to a depth of 0.083 m. (a) What was the average force exerted by the target on the arrow? (b) If the mass of the arrow is doubled, and the force exerted by the target on the arrow remains the same, by what multiplicative factor does the penetration depth change? Explain.

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QUESTION:

Problem 65GP

IP An archer shoots a 0.024-kg arrow at a target with a speed of 54 m/s. When it hits the target, it penetrates to a depth of 0.083 m. (a) What was the average force exerted by the target on the arrow? (b) If the mass of the arrow is doubled, and the force exerted by the target on the arrow remains the same, by what multiplicative factor does the penetration depth change? Explain.

ANSWER:

Solution 65GP

Step 1 of 3

(a) Calculate the average force exerted by the target on the arrow. (b) If the mass of the arrow is doubled, and the force exerted by the target on the arrow remains the same, calculate the multiplicative factor by which the penetration depth change. Explain the answer.

(a)

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