Exam 6: Work and Energy

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A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure. A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure.   -What is the final speed of the crate? -What is the final speed of the crate?

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B

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 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? in raising the crate 4.0 m above the floor?

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E

A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure. A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure.   -How much work is done on the crate? -How much work is done on the crate?

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D

An engineer is asked to design a playground slide such that the speed a child reaches at the bottom does not exceed 6.0 m/s. Determine the maximum height that the slide can be.

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Julie carries an 8.0-kg suitcase as she walks 18 m along a horizontal walkway to her hotel room at a constant speed of 1.5 m/s.How much work does Julie do in carrying her suitcase?

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Two boxes are connected to each other as shown.The system is released from rest and the 1.00-kg box falls through a distance of 1.00 m.The surface of the table is frictionless.What is the kinetic energy of box B just before it reaches the floor? Two boxes are connected to each other as shown.The system is released from rest and the 1.00-kg box falls through a distance of 1.00 m.The surface of the table is frictionless.What is the kinetic energy of box B just before it reaches the floor?

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A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure. A 325-N force accelerates a 50.0-kg crate from rest along a horizontal frictionless surface for a distance of 20.0 m as shown in the figure.   -What coefficient of friction would be required to keep the crate moving at constant speed under the action of the 325-N force? -What coefficient of friction would be required to keep the crate moving at constant speed under the action of the 325-N force?

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What is the kinetic energy of the crate as it slides on the lower surface?

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A 0.50-kg ball on the end of a rope is moving in a vertical circle of radius 3.0 m near the surface of the Earth where the acceleration due to gravity, g, is 9.8 m/s2.Point A is at the top of the circle; C is at the bottom.Points B and D are exactly halfway between A and C. A 0.50-kg ball on the end of a rope is moving in a vertical circle of radius 3.0 m near the surface of the Earth where the acceleration due to gravity, g, is 9.8 m/s<sup>2</sup>.Point A is at the top of the circle; C is at the bottom.Points B and D are exactly halfway between A and C.   -The ball moves on the circle from A to C under the influence of gravity alone.If the kinetic energy of the ball is 35 J at A, what is its kinetic energy at C? -The ball moves on the circle from A to C under the influence of gravity alone.If the kinetic energy of the ball is 35 J at A, what is its kinetic energy at C?

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Larry's gravitational potential energy is 1870 J as he sits 2.20 m above the ground in a sky diving airplane before it takes off.What is Larry's gravitational potential energy when be begins to jump from the airplane at an altitude of 923 m?

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The force component acting on an object along the displacement varies with the displacement s as shown in the graph.Determine the work done on the object as it travels from s = 0.0 to 12 m. The force component acting on an object along the displacement varies with the displacement s as shown in the graph.Determine the work done on the object as it travels from s<sub> </sub>= 0.0 to 12 m.

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What minimum coefficient of kinetic friction is required to bring the crate to a stop over a distance of 5.0 m along the lower surface?

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A 0.50-kg ball on the end of a rope is moving in a vertical circle of radius 3.0 m near the surface of the Earth where the acceleration due to gravity, g, is 9.8 m/s2.Point A is at the top of the circle; C is at the bottom.Points B and D are exactly halfway between A and C. A 0.50-kg ball on the end of a rope is moving in a vertical circle of radius 3.0 m near the surface of the Earth where the acceleration due to gravity, g, is 9.8 m/s<sup>2</sup>.Point A is at the top of the circle; C is at the bottom.Points B and D are exactly halfway between A and C.   -Which one of the following statements concerning the tension in the rope is true? -Which one of the following statements concerning the tension in the rope is true?

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A top fuel dragster with a mass of 500.0 kg starts from rest and completes a quarter mile (402 m) race in a time of 5.0 s.The dragster's final speed is 130 m/s.Neglecting friction, what average power was needed to produce this final speed?

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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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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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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 coefficient of kinetic friction,  \mu <sub>k</sub>, of the surface from A to B? -What is the coefficient of kinetic friction, μ\mu k, of the surface from A to B?

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A care package is dropped from rest from a helicopter hovering 25 m above the ground.What is the speed of the package just before it reaches the ground? Neglect air resistance.

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A concrete block is pulled 7.0 m across a frictionless surface by means of a rope.The tension in the rope is 40 N; and the net work done on the block is 247 J.What angle does the rope make with the horizontal? A concrete block is pulled 7.0 m across a frictionless surface by means of a rope.The tension in the rope is 40 N; and the net work done on the block is 247 J.What angle does the rope make with the horizontal?

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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 upper surface? -What is the kinetic energy of the crate as it slides on the upper surface?

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