Exam 7: Conservation of Energy

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Use the figure to the right to answer the next problem. An object of mass m = 100 g slides down without rolling a rough incline from a height H = 60 cm.At h = 30 cm,the object flies off the incline.The coefficient of kinetic friction is 0.4,and the angle = 30Use the figure to the right to answer the next problem. An object of mass m = 100 g slides down without rolling a rough incline from a height H = 60 cm.At h = 30 cm,the object flies off the incline.The coefficient of kinetic friction is 0.4,and the angle <font face=symbol>= 30<font face=symbol>  -How far from the base of the elevated incline does the object hit the floor? -How far from the base of the elevated incline does the object hit the floor?

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A 10-kg box is pushed up a plane inclined at 37º with the horizontal.The box starts from rest and is pushed 5 m along the incline with a uniform acceleration of 2 m/s2.The coefficient of kinetic friction is 0.20 and the pushing force is parallel to the plane.The increase in the potential energy of the box is

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Use the figure to the right to answer the next problem. An object of mass m = 100 g slides down without rolling a rough incline from a height H = 60 cm.At h = 30 cm,the object flies off the incline.The coefficient of kinetic friction is 0.4,and the angle = 30Use the figure to the right to answer the next problem. An object of mass m = 100 g slides down without rolling a rough incline from a height H = 60 cm.At h = 30 cm,the object flies off the incline.The coefficient of kinetic friction is 0.4,and the angle <font face=symbol>= 30<font face=symbol>  -What is the speed of the object just after it leaves the ramp? -What is the speed of the object just after it leaves the ramp?

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A 10-kg box is at the top of a 5-m plane inclined at 37º with the horizontal.The box starts from rest and slides down the plane.The coefficient of kinetic friction is 0.20.The magnitude of the change in the potential energy of the box is

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A 5200-kg cable car in Hong Kong is pulled a distance of 360 m up a hill inclined at 12º from the horizontal.The change in the potential energy of the car is

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Which of the following statements is true?

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When an electron in a hydrogen atom jumps from n = 2 to n = 1,the photon emitted is of frequency f = 4.572 ×\times 1014 Hz.What is the energy of the photon?

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Calculate the work done by a force, Calculate the work done by a force,   ,around a closed path,first going from P<sub>1</sub> (1,1)to P<sub>2</sub> (4,4)along path a and returning along path b.  ,around a closed path,first going from P1 (1,1)to P2 (4,4)along path a and returning along path b. Calculate the work done by a force,   ,around a closed path,first going from P<sub>1</sub> (1,1)to P<sub>2</sub> (4,4)along path a and returning along path b.

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Calculate the work done by a force,  Calculate the work done by a force,   ,along the path (0,0) \to P<sub>1</sub> (2,0) \to  P<sub>2</sub> (2,2).   ,along the path (0,0) \to P1 (2,0) \to P2 (2,2).  Calculate the work done by a force,   ,along the path (0,0) \to P<sub>1</sub> (2,0) \to  P<sub>2</sub> (2,2).

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A 75-kg man climbs the stairs to the fifth floor of a building,a total height of 16 m.His potential energy has increased by

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A mass m is released from a height 80 cm from the right-hand side of the track shown in the diagram at right.There is only friction acting along the horizontal portion 30 cm either side of the midpoint O with a kinetic coefficient of friction of μ\mu k = 0.4.Determine (i)how many times does the mass m pass through the midpoint O,and (ii)how far from the midpoint does it come to rest.  A mass m is released from a height 80 cm from the right-hand side of the track shown in the diagram at right.There is only friction acting along the horizontal portion 30 cm either side of the midpoint O with a kinetic coefficient of friction of  \mu <sub>k</sub> = 0.4.Determine (i)how many times does the mass m pass through the midpoint O,and (ii)how far from the midpoint does it come to rest.

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What is the kinetic energy of the object at point P2?

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A woman runs up a flight of stairs.The gain in her gravitational potential energy is U.If she runs up the same stairs with twice the speed,what is her gain in potential energy?

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A child is sitting on the seat of a swing with ropes 10 m long.Her father pulls the swing back until the ropes make a 37º angle with the vertical and then releases the swing.If air resistance is neglected,what is the speed of the child at the bottom of the arc of the swing when the ropes are vertical?

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A mass,m,slides down a frictionless incline and hits a spring with spring constant k.Find the spring compression when the acceleration of the mass is zero. A mass,m,slides down a frictionless incline and hits a spring with spring constant k.Find the spring compression when the acceleration of the mass is zero.

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A spring with force constant k = 300 N/m is compressed 9.0 cm.What is the potential energy in the spring?

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