Exam 5: Kinetic Energy, work, and Power

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A ball of mass 5.00 kg is thrown from the ground at an angle of 20.0 ∘\circ from the vertical with a speed of 20.0 m/s.The ball lands on top of a building that is 10.0 m tall.What is the speed of the ball in m/s just before it lands on the roof of the building?  A ball of mass 5.00 kg is thrown from the ground at an angle of 20.0<sup> \circ </sup> from the vertical with a speed of 20.0 m/s.The ball lands on top of a building that is 10.0 m tall.What is the speed of the ball in m/s just before it lands on the roof of the building?

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You pull sled with a rope which makes an angle of 30 ∘\circ to the horizontal and the tension in the rope is 40.0 N.Calculate the work you do on the sled if it moves 100 m.

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A horizontal spring having constant k = 50.0 N/m is attached to a block having mass 0.50 kg.The mass is oscillating freely on a frictionless table with amplitude 15.0 cm.As the mass travels from the position of maximum stretch to half the position of maximum stretch,how much work is done by the spring on the mass?

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A motor developing 0.250 hp raises a 5.00 kg object 10.0 m vertically at a constant speed.How long does it take to accomplish this task? (1 hp = 746 W) A motor developing 0.250 hp raises a 5.00 kg object 10.0 m vertically at a constant speed.How long does it take to accomplish this task? (1 hp = 746 W)

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What power delivered by a motor is required to raise a 5.00 kg object 10.0 m vertically at a constant speed in 3.30 seconds? (1 hp = 746 W) What power delivered by a motor is required to raise a 5.00 kg object 10.0 m vertically at a constant speed in 3.30 seconds? (1 hp = 746 W)

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How much work does a weight-lifter do in holding a 245-kg weight 2.13 m over the ground?

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A car of mass 1000 kg is accelerated from a velocity of 10 m/s to 30 m/s in a time of 5 s.What is the work done during the acceleration (within 5% accuracy;ignore frictional forces)?

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In the figure,a force F is being applied to the block with a magnitude such that it moves up along the frictionless inclined place with a constant velocity of 5 m/s.The angle in the figure is 30 ∘\circ ,and the mass of the block is 50 kg.How much work (in Joules)is done by the force F in moving the block 10 meters along the surface of the inclined plane (within 5% accuracy)?  In the figure,a force F is being applied to the block with a magnitude such that it moves up along the frictionless inclined place with a constant velocity of 5 m/s.The angle in the figure is 30<sup> \circ </sup>,and the mass of the block is 50 kg.How much work (in Joules)is done by the force F in moving the block 10 meters along the surface of the inclined plane (within 5% accuracy)?

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A force of 40.0 N is applied to a crate to displace it by 50.0 m.How much work is done on the crate by this force?

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Two boats are travelling along a river.Boat A is half as massive as boat B,but the kinetic energy of boat A is 3 larger than the kinetic energy of boat B.What is the ratio of their speeds vA/vB?

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The Concorde was the fastest passenger airliner to ever fly,with an operating mass of 78,700 kg and a maximum cruising kinetic energy of 1.38 1010 J.What is the maximum cruising speed of the Concorde?

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If the speed of a sub-atomic particle was tripled,then by what factor would its kinetic energy increase?

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A 10.0-g bullet traveling horizontally with an initial speed of v strikes a fixed wooden block.The bullet comes to rest 22 cm inside the block.The magnitude of the force exerted on the bullet by the block over its 22-cm travel is shown in graph.The maximum value of the force is Fmax = 1.47 103 N.What is the initial speed of the bullet? A 10.0-g bullet traveling horizontally with an initial speed of v strikes a fixed wooden block.The bullet comes to rest 22 cm inside the block.The magnitude of the force exerted on the bullet by the block over its 22-cm travel is shown in graph.The maximum value of the force is F<sub>max</sub> = 1.47 <font face=symbol></font> 10<sup>3</sup> N.What is the initial speed of the bullet?

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A baby (m=7.1 kg)lies in his bed,1.1 m above the ground.The father (m = 81 kg)then lifts him up to 1.9 m above the ground and then places him on the ground.How much total work does the father do in moving his child?

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A crane with an efficiency of 0.8 takes 20 s to lift a load of 50 kg to a height of 200 m.How much power does it take to run the crane (within 5% accuracy)?

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An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0 ∘\circ with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

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A student raises a 1-kg textbook 1 m off the surface of a table.How does the work done by gravity Wg on the book compare to the work done by the student Ws on the book?

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A spring,with k = 2500N/m,is fixed vertically to the floor.A 10.0-kg box is pressed down on the spring such that the total compression of the spring is 0.5 m.Assuming the work done against drag (air resistance)is 60 J,how high will the box reach above its release position?

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Calculate the kinetic energy of a baby of mass 4.6 kg,riding in a car at a speed of 53.3 miles/hour.

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The kinetic energy of a 1.2-kg toy train is 3.6 J.What is its speed?

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