Exam 6: Work and Energy

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A rope exerts a force A rope exerts a force   on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s<sup>2</sup> near the surface of the earth.   -What is the kinetic energy of the crate when it is 4.0 m above the floor? on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s2 near the surface of the earth. A rope exerts a force   on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s<sup>2</sup> near the surface of the earth.   -What is the kinetic energy of the crate when it is 4.0 m above the floor? -What is the kinetic energy of the crate when it is 4.0 m above the floor?

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Mike is cutting the grass using a human-powered lawn mower. He pushes the mower with a force of 45 N directed at an angle of 41° below the horizontal direction. Calculate the work that Mike does on the mower each time he pushes it 9.1 m across the yard.

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A 12.5-kg crate slides along a horizontal frictionless surface at a constant speed of 4.0 m/s. The crate then slides down a frictionless incline and across a second horizontal surface as shown in the figure. A 12.5-kg crate slides along a horizontal frictionless surface at a constant speed of 4.0 m/s. The crate then slides down a frictionless incline and across a second horizontal surface as shown in the figure.   -What is the kinetic energy of the crate as it slides on the lower surface? -What is the kinetic energy of the crate as it slides on the lower surface?

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A 1500-kg elevator moves upward with constant speed through a vertical distance of 25 m. How much work was done by the tension in the elevator cable?

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A helicopter (m = 3250 kg) is cruising at a speed of 56.9 m/s at an altitude of 185 m. What is the total mechanical energy of the helicopter?

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A rock is thrown straight up from the surface of the Earth. Which one of the following statements describes the energy transformation of the rock as it rises? Neglect air resistance.

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The kinetic energy of an 1800-kg truck is 7.2 × 105 J. What is the speed of the truck?

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A roller coaster starts from rest at the top of an 18-m hill as shown. The car travels to the bottom of the hill and continues up the next hill that is 10.0 m high. A roller coaster starts from rest at the top of an 18-m hill as shown. The car travels to the bottom of the hill and continues up the next hill that is 10.0 m high.   How fast is the car moving at the top of the 10.0-m hill, if friction is ignored? How fast is the car moving at the top of the 10.0-m hill, if friction is ignored?

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How much power is needed to lift a 75-kg student vertically upward at a constant speed of 0.33 m/s?

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A 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, introduced at point A, brings the block to rest at point B, 19 m to the right of point A. A 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, introduced at point A, brings the block to rest at point B, 19 m to the right of point A.   -What is the speed of the box just before it reaches point A? -What is the speed of the box just before it reaches point A?

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A constant force of 25 N is applied as shown to a block which undergoes a displacement of 7.5 m to the right along a frictionless surface while the force acts. What is the work done by the force? A constant force of 25 N is applied as shown to a block which undergoes a displacement of 7.5 m to the right along a frictionless surface while the force acts. What is the work done by the force?

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The graph shows the force component along the displacement as a function of the magnitude of the displacement. Determine the work done by the force during the interval from 2 to 10 m. The graph shows the force component along the displacement as a function of the magnitude of the displacement. Determine the work done by the force during the interval from 2 to 10 m.

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How much energy is dissipated in braking a 1200-kg car to a stop from an initial speed of 30 m/s?

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In which one of the following situations will there be an increase in kinetic energy?

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Use the work-energy theorem to find the force required to accelerate an electron (m = 9.11 × 10-31 kg) moving along the x axis from 4.00 × 106 m/s to 1.60 × 107 m/s in a distance of 0.0125 m.

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Complete the following statement: A force that acts on an object is said to be conservative if

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During the construction of a high rise building, 40-kg block is vertically lifted 20 meters from the surface of the earth. To one significant figure, what is the change in the gravitational potential energy of the block?

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A rope exerts a force A rope exerts a force   on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s<sup>2</sup> near the surface of the earth.   -How much work was done by the force   in raising the crate 4.0 m above the floor? on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s2 near the surface of the earth. A rope exerts a force   on a 20.0-kg crate. The crate starts from rest and accelerates upward at 5.00 m/s<sup>2</sup> near the surface of the earth.   -How much work was done by the force   in raising the crate 4.0 m above the floor? -How much work was done by the force 11ec8750_70f2_6588_a44c_113db0bdff1a_TB34225555_11 in raising the crate 4.0 m above the floor?

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