Exam 6: Potential Energy and Energy Conservation

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Four balls are thrown off the top of a building 27 m high.All balls are thrown with identical speeds,but at different angles.Ball 1 is thrown straight upward.Ball 2 is thrown straight downward.Ball 3 is thrown at an angle of +45 ∘\circ relative to the horizontal.And Ball 4 is thrown at an angle of -45 ∘\circ relative to the horizontal.Which ball has the greatest kinetic energy when it hits the ground?

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A 1210-kg car travels 1.20 km up an incline at constant velocity.The incline is 15 ∘\circ measured with respect to the horizontal.The change in the car's potential energy is

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A 5.0-kg block slides a distance of 4.0 m down a rough inclined plane.The inclined plane makes an angle θ\theta = 30 ∘\circ with respect to the horizontal.If the block had an initial velocity of 2.0 m/s down the inclined plane and a final velocity of 6.0 m/s down the inclined plane,how much energy was lost by the block due to the work done by friction?

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A block of mass 1.40 kg is attached to a spring and sits on a frictionless table which is a height h=4.0 m above the floor.The spring is compressed by d=0.11 m initially.If the spring constant is k = 600 N/m,what is the speed of the block when it leaves the spring? A block of mass 1.40 kg is attached to a spring and sits on a frictionless table which is a height h=4.0 m above the floor.The spring is compressed by d=0.11 m initially.If the spring constant is k = 600 N/m,what is the speed of the block when it leaves the spring?

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A slingshot is used to launch a 5.00-gram rock.The effective spring constant of the slingshot is 200 N/m.By what distance must the slingshot be stretched in order to launch the rock at 20.0 m/s?

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A person standing on top of a 40-m high cliff throws a rock with a mass of 0.25 kg off the cliff.The rock leaves the person's hand with a speed of 11 m/s and makes an angle of 75 degrees above the horizontal.What is the speed of the rock when it hits the ground at the bottom of the cliff?

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A 500-g book is resting on top of a shelf 1 m above the floor.The book is 10 cm from the edge of the shelf.Accidentally the book is pushed off the shelf with a force of 25 N and falls to the floor following a parabolic trajectory coming to rest a horizontal distance of 20 cm from the edge of the shelf.If the coefficient of kinetic friction between the book and the shelf is 0.3,how much net work is done on the book?

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In figure,the 2-kg mass has an initial velocity of 1 m/s down the ramp when it is 4 m up from the tip of a spring along a 30-degree ramp.The coefficient of kinetic friction between the ramp and the mass is 0.2.The spring at the bottom of the ramp is 200 cm long and has a spring constant of 100 N/m.What is the maximum compression the spring will have when the mass collides with it? In figure,the 2-kg mass has an initial velocity of 1 m/s down the ramp when it is 4 m up from the tip of a spring along a 30-degree ramp.The coefficient of kinetic friction between the ramp and the mass is 0.2.The spring at the bottom of the ramp is 200 cm long and has a spring constant of 100 N/m.What is the maximum compression the spring will have when the mass collides with it?

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Four balls are thrown off the top of a building 27 m high.All balls are thrown with identical speeds,but at different angles.Ball 1 is thrown straight upward.Ball 2 is thrown straight downward.Ball 3 is thrown at an angle of +45 ∘\circ relative to the horizontal.And Ball 4 is thrown at an angle of -45 ∘\circ relative to the horizontal.Which ball has the highest speed when it hits the ground?

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A 5-kg block of ice travels with a speed of 12 m/s when it hits a 25 ∘\circ incline plane.How far does it travel frictionlessly up the plane?

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The turning points for a 0.25-kg object in a potential of  The turning points for a 0.25-kg object in a potential of   are  \pm 0.50 m .What is the maximum potential energy of this object? are ±\pm 0.50 m .What is the maximum potential energy of this object?

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An object is attached to a string that is 2.00 m long as shown below.The object is pulled back such that the string makes an angle of 30.0 ∘\circ with respect to the vertical.The object is held still then released.What is the speed of the object at its lowest point?  An object is attached to a string that is 2.00 m long as shown below.The object is pulled back such that the string makes an angle of 30.0<sup> \circ </sup> with respect to the vertical.The object is held still then released.What is the speed of the object at its lowest point?

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When Neil Armstrong climbed down to the surface of the Moon via the 3.5-m tall ladder of the Lunar Lander,his potential energy changed by 1260 J.If his mass was 79 kg,what was the mass of his suit? The acceleration due to gravity on the moon is 1.62 m/s2.

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A 3-kg block slides down a smooth incline of length 2 m inclined at 30 ∘\circ and hits a level,horizontal rough patch,coming to a stop in 1 m.What is the coefficient of friction between the block and the rough patch?

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An object heads towards a hill sliding without friction.If its initial velocity is 23 m/s,and its mass 111 kg how far up the hill h in m does it go? An object heads towards a hill sliding without friction.If its initial velocity is 23 m/s,and its mass 111 kg how far up the hill h in m does it go?

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A person standing on top of a 40-m high cliff throws a rock with a mass of 0.25 kg off the cliff.The rock leaves the person's hand with a speed of 11 m/s and makes an angle of 75 degrees above the horizontal.What is the kinetic of the rock when it hits the ground at the bottom of the cliff?

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Find the turning points for a 0.25-kg object in a potential of Find the turning points for a 0.25-kg object in a potential of   if its maximum kinetic energy is 5.0 J. if its maximum kinetic energy is 5.0 J.

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An object is sliding on a horizontal surface.The coefficient of kinetic friction between the object and the surface is 0.250.If the object has an initial velocity of 45.0 m/s,how far will the object travel before it stops? An object is sliding on a horizontal surface.The coefficient of kinetic friction between the object and the surface is 0.250.If the object has an initial velocity of 45.0 m/s,how far will the object travel before it stops?

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An ideal spring with a spring constant of 3000 N/m is attached at the bottom of a rough inclined plane that makes an angle of 37 degrees with the horizontal.The spring is compressed a distance of 80 cm and then a 12-kg box is placed on the spring.The coefficient of kinetic friction between the box and the inclined plane is 0.2.If the box is released from rest and is not attached to the spring,how fast will the box be traveling after sliding 4 m up the incline (3.2 m beyond the uncompressed length of the spring)?

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