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The Great Sandini is a 60-kg circus performer who is shot

Chapter 9, Problem 53P

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QUESTION:

The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You don’t find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1100 N/m that he will compress with a force of 4400 N. The inside of the gun barrel is coated with Teflon, so the average friction force will be only 40 N during the 4.0 m he moves in the barrel. At what speed will he emerge from the end of the barrel, 2.5 m above his initial rest position?

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QUESTION:

The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You don’t find many men of his caliber, so you help him design a new gun. This new gun has a very large spring with a very small mass and a force constant of 1100 N/m that he will compress with a force of 4400 N. The inside of the gun barrel is coated with Teflon, so the average friction force will be only 40 N during the 4.0 m he moves in the barrel. At what speed will he emerge from the end of the barrel, 2.5 m above his initial rest position?

ANSWER:

Step 1 of 4:

A person of mass m = 60 kg is at rest on a ‘x’ meters compressed spring with force \(F_{\text {spring }}=4400 \mathrm{~N}\) and force constant k =1100 N/m. We need to calculate the speed at a height 2.5m from the end of barrel, with which the person flies when he moves through the barrel with friction force \(F_{f r i}=40 \mathrm{~N}\) for d = 4m as shown in the figure below,

1.png

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