Exam 7: Work and Energy

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A spring with a spring constant of 2500 N/m. is stretched 4.00 cm. What is the work required to stretch the spring?

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A constant force acts on a moving object. The object makes a fixed magnitude of displacement in some direction. In general, in what direction is the displacement that will result in the object traveling with the least kinetic energy after the displacement occurs?

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The work done by a variable force in moving an object between two points is equal to the area under the force versus displacement curve between those two points.

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A 4.0 kg mass is moving with speed 2.0 m/s. A 1.0 kg mass is moving with speed 4.0 m/s. Both objects encounter the same constant braking force, and are brought to rest. Which object travels the greater distance before stopping?

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FIGURE 7-3 FIGURE 7-3   -An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 0 m to 4 m? -An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 0 m to 4 m?

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A 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium position. The spring constant of the spring is 1.00 N/cm. The mass is pulled downward 2.00 cm and released. What is the speed of the mass when it is 1.00 cm above the point from which it was released?

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FIGURE 7-3 FIGURE 7-3   -An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 6 m to 12 m? -An object is under the influence of a force as represented by the force vs. position graph in Fig. 7-3. What is the work done as the object moves from 6 m to 12 m?

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A force is dependent on position and is given by ( 4.00 N/m)x A force is dependent on position and is given by ( 4.00 N/m)x   +(2.0 N/m<sup>2</sup>)xy   . An object begins at the origin. It first moves in a straight line to x = 1.00 m, y = 0.00 m. It then moves in a straight line to x = 1.00 m, y = 1.00 m. How much work is done on the object by the force during the motion described? +(2.0 N/m2)xy A force is dependent on position and is given by ( 4.00 N/m)x   +(2.0 N/m<sup>2</sup>)xy   . An object begins at the origin. It first moves in a straight line to x = 1.00 m, y = 0.00 m. It then moves in a straight line to x = 1.00 m, y = 1.00 m. How much work is done on the object by the force during the motion described? . An object begins at the origin. It first moves in a straight line to x = 1.00 m, y = 0.00 m. It then moves in a straight line to x = 1.00 m, y = 1.00 m. How much work is done on the object by the force during the motion described?

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How much energy is needed to change the speed of a 1600 kg sport utility vehicle from 15.0 m/s to 40.0 m/s?

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On a force vs. position graph, the area under the curve is a representation of

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If the net work done on a certain object is zero, make a statement concerning its speed?

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Which of the following vectors is perpendicular to the vector 4.0 Which of the following vectors is perpendicular to the vector 4.0   - 6.0   +2.0   ? - 6.0 Which of the following vectors is perpendicular to the vector 4.0   - 6.0   +2.0   ? +2.0 Which of the following vectors is perpendicular to the vector 4.0   - 6.0   +2.0   ? ?

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A person applies a constant force on an object of mass 20 kg that causes the object to move horizontally at a constant speed of 0.20 m/s through a distance of 0.80 m. What is the work done on the object?

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A person applies a constant force of 20 N to a rock of mass 1000 kg, for a total of 20 seconds. What is the work done by this person if the rock does not move at all by this applied force?

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An object of mass 10.0 kg is initially at rest. A 100 N force causes it to move horizontally through a distance of 6.00 m. What is the change in the kinetic energy of this object?

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If the net work done on an object is zero, then the object's kinetic energy

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How large a force is required to accelerate a 1600 kg car from rest to a speed of 25 m/s in a distance of 200 m?

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If you push twice as hard against a stationary brick wall, the amount of work you do

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FIGURE 7-2 FIGURE 7-2   Three applied forces, F<sub>1</sub> = 20.0 N, F<sub>2</sub> = 40.0 N, and F<sub>3</sub> = 10.0 N act on an object with a mass of 2.00 kg which can move along an inclined plane as shown in the figure. The questions refer to the instant when the object has moved 0.600 m along the surface of the inclined plane in the upward direction. Neglect friction and use g = 10.0 m/s<sup>2</sup>. -Refer to Fig. 7-2. What is the amount of work done by force F<sub>2</sub> as the object moves up the inclined plane? Three applied forces, F1 = 20.0 N, F2 = 40.0 N, and F3 = 10.0 N act on an object with a mass of 2.00 kg which can move along an inclined plane as shown in the figure. The questions refer to the instant when the object has moved 0.600 m along the surface of the inclined plane in the upward direction. Neglect friction and use g = 10.0 m/s2. -Refer to Fig. 7-2. What is the amount of work done by force F2 as the object moves up the inclined plane?

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FIGURE 7-1 FIGURE 7-1   -Which of the graphs in Fig. 7-1 illustrates Hooke's Law? -Which of the graphs in Fig. 7-1 illustrates Hooke's Law?

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