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Chapter 9: Q. 20 (page 228)

FIGURE is the force-versus-position graph for a particle moving along the x-axis. Determine the work done on the particle during each of the three intervals 0–1m, 1–2m, and 2–3m.

Short Answer

Expert verified

W0-1=4JW1-2=0JW2-3=-2J

Step by step solution

01

Step 1. Given Information

We have,

02

Step 2. Find the work done

We can calculate area under F-x graph

W0-1=4JW1-2=4N4·0.5m-4N·0.5m=0JW2-3=-12·4N·1m=-2J

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Most popular questions from this chapter

When you ride a bicycle at constant speed, nearly all the energy you expend goes into the work you do against the drag force of the air. Model a cyclist as having cross-section area 0.45m2 and, because the human body is not aerodynamically shaped, a drag coefficient of 0.90.

a. What is the cyclist’s power output while riding at a steady 7.3m/s(16mph)?

b. Metabolic power is the rate at which your body “burns” fuel to power your activities. For many activities, your body is roughly 25%efficient at converting the chemical energy of food into mechanical energy. What is the cyclist’s metabolic power while cycling at 7.3m/s?

c. The food calorie is equivalent to 4190J.How many calories does the cyclist burn if he rides over level ground at7.3m/sfor1hr?

A Porsche 944 Turbo has a rated engine power of 217 hp. 30% of the power is lost in the drive train, and 70%reaches the wheels. The total mass of the car and driver is 1480kg, and two-thirds of the weight is over the drive wheels.

a. What is the maximum acceleration of the Porsche on a concrete surface where μs=1.00? Hint: What force pushes the car forward?

b. If the Porsche accelerates at amax, what is its speed when it reaches maximum power output?

c. How long does it take the Porsche to reach the maximum power output?

Hooke’s law describes an ideal spring. Many real springs are better described by the restoring force (Fsp)s=-k∆s-q(∆s)3, where q is a constant.

Consider a spring with k=250N/m .

It is alsoq=800N/m3.

a. How much work must you do to compress this spring 15cm? Note that, by Newton’s third law, the work you do on the spring is the negative of the work done by the spring.

b. By what percent has the cubic term increased the work over what would be needed to compress an ideal spring? Hint: Let the spring lie along the s-axis with the equilibrium position of the end of the spring at s=0.

Then ∆s = s.

A sprinter accelerates from rest. Is the work done on the sprinter positive, negative, or zero? Explain

An 8.0kg crate is pulled 5.0m up a 30°incline by a rope angled 18°above the incline. The tension in the rope is 120N, and the crate’s coefficient of kinetic friction on the incline is 0.25.

a. How much work is done by tension, by gravity, and by the normal force?

b. What is the increase in thermal energy of the crate and incline?
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