**Unformatted text preview: **2004 test Physics Honors Distributed By: Tyrone G Carter Physics Honors
12 mv 2 W = ∆ K + ∆U + Q K=
U g = mgh
W = P ∆t Chapter 5 Test
W = Fd cos θ P = Fv FORM 1
Fe = −kx
g = 9.81 m s 2 [ down ] Ue = 12 kx 2 Given: ax 2 + bx + c = 0 then: x =
−b ± b 2 − 4ac 2a Ff = µ FN ASSUME FRICTIONLESS, HORIZONTAL MOTION UNLESS OTHERWISE INSTRUCTED. ASSUME ALL SPRINGS ARE INITIALLY UNSTRETCHED AND UNCOMPRESSED. A spring has a force constant k = 450 N/m. It is compressed by pushing its end 1.5 cm to the left. Your hand then keeps the spring in place. 1) 2) What force does the spring exert on your hand? How much work must be performed on the spring to compress it by an additional 2.5 cm? A 0.01-kg object is initially sliding at 9.0 m/s. It goes up a ramp (increasing its elevation by 1.5 m), and then moves horizontally before striking a spring of force constant k = 100 N/m. The spring is compressed by 5.0 cm as it completely stops the object. 3) How much heat energy was created during this motion? A child's toy wagon is pulled from rest by a constant force F = 50 N, which acts in a direction 50˚ from the vertical. 4) What is the kinetic energy of the wagon when it has moved a horizontal distance of 10 m? The engine in a 1500 kg racing car produces work at a rate of 300 kW. 5) If the engine maintains that power output for 5 minutes, how much work does it do? A 10-kg block is dropped from a height of 5.0 m above the top of a spring of force constant k = 75 N/m. 6) 7) At what rate is gravity doing work on the block at the instant it strikes the spring? What is the maximum speed of the block? A 10-kg object is initially moving north at 15.0 m/s. 8) How much work must be done on the object to accelerate it to a final velocity of 60 m/s to the east? A box of mass m = 40 kg is released from rest at the top of a ramp. The coefficient of kinetic friction between the box and the ramp is µ = 0.2, and the ramp makes an angle θ = 35º to the horizontal. After sliding a distance x = 5 m down the ramp, the box strikes a spring of force constant k = 500 N/m, as shown at right. The box eventually comes to rest. 9) How far from its initial release position does the box move before first coming to a stop? x k m µ θ Distributed By: Tyrone G Carter TGC 2005 test Physics Honors Distributed By: Tyrone G Carter Physics Honors
K= 12 mv 2 Chapter 5 Test
U g = mgh
W = P∆t
W = Fd cos θ Ue = 12 kx 2 Fe = −kx
g = 9.81 m s 2 [ down ] W = ∆K + ∆U + Q P = Fv Ff = µ FN A spring of force constant k = 50 N/m is suspended vertically from the ceiling and holds a 0.5 kg mass at rest, as shown at right. The mass is then lifted up with force F so that the spring is compressed a distance x1 = 0.20 m from its natural length. The mass is held at rest at that final position. 1) 2) 3) What force F is required to keep the mass lifted upwards and the spring compressed? How much work is done on the system by lifting the mass upward? lo x1 xo F If the force F is removed, the mass will oscillate up and down. For the instant during this motion at which its speed is largest, describe (a) the net force on the mass; (b) the potential energy of the spring; (c) the potential energy of the system. A typical electrical generating station (or “power plant”) produces 300MW or 3 x 105 kW of energy. 4) How much electrical energy is produced by the power plant in one hour? A 10-kg object is initially moving north at 25 m/s. 5) How much work must be done on the object to accelerate it to a final velocity of 60 m/s to the east? A large box of chocolates is pulled from rest by a constant force F = 60 N, which acts in a direction 35 ˚ from the vertical. A 20 N frictional force opposes the motion of the box. The box moves a horizontal distance of 10 m. 6) 7) How much heat is produced by this motion? What is the final kinetic energy of the box? A non-zero net force acts on an object. 8) Under what conditions will this force do NO work on the object? Give an example, and explain your answer. A box of mass m = 40 kg is released from rest at the top of a ramp. The coefficient of kinetic friction between the box and the ramp is µk= 0.2, the coefficient of static friction is µs = 0.5, and the ramp makes an angle θ = 35º to the horizontal. After sliding a distance x down the ramp, the box strikes a spring of force constant k = 100 N/m, as shown at right. The mass comes to rest and remains at rest with spring at maximum compression; it does not oscillate. 9) What is the maximum value of x? x k m µs θ Distributed By: Tyrone G Carter TGC 2006 test Physics Honors Distributed By: Tyrone G Carter Physics Honors
K= 12 mv 2
U g = mgh
W = P ∆t
W = Fd cos θ Chapter 5 Test
Ue = 12 kx 2 FORM 1
Fe = −kx
g = 9.81 m s 2 [ down ]
2 Given: ax + bx + c = 0 W = ∆ K + ∆U + Q P = Fv Ff = µ FN then: x = −b ± b 2 − 4ac 2a UNLESS OTHERWISE INSTRUCTED: ASSUME FRICTIONLESS, HORIZONTAL MOTION ASSUME ALL SPRINGS ARE INITIALLY AT THEIR RELAXED LENGTH A 0.01-kg object is initially sliding at 9.0 m/s. It goes up a ramp (increasing its elevation by 1.5 m), and then moves horizontally before striking a spring of force constant k = 100 N/m. The spring is compressed by 5.0 cm as it completely stops the object. 1) How much heat energy was created during this motion? A 5-kg block is dropped from rest from a point 5.0 m above the top of a spring of force constant k = 800 N/m, as shown at right. 2) 3) 4) At what rate is gravity doing work on the block at the instant it strikes the spring? What is the maximum compression of the spring? For the instant at which the speed of the block is largest, describe in words (a) the net force acting on the mass; (b) the potential energy of the spring; (c) the potential energy of the system; (d) and the total energy of the system.
k = 800 N/m 5m A child's toy wagon (mass m = 10 kg) is pulled from rest by a constant force F = 50 N, which acts in a direction 50˚ from the vertical. The wagon moves horizontally across a frictionless surface. 5) What is the speed of the wagon when it has moved a horizontal distance of 5.0 m? A non-zero net force acts on an object. 6) Under what conditions will this force do NO work on the object? Give two examples, and explain your answers. A spring has a force constant k = 550 N/m. It is compressed by pushing its end 1.5 cm to the left. Your hand then keeps the spring in place. 7) 8) What force does the spring exert on your hand? How much work must you do to compress the spring by an additional 2.5 cm? A box of mass m = 40 kg is released from rest at the top of a ramp. The coefficient of kinetic friction between the box and the ramp is µ = 0.2, and the ramp makes an angle θ = 35º to the horizontal. After sliding a distance d = 5 m down the ramp, the box strikes a spring of force constant k = 500 N/m, as k shown at right. The box compresses the spring, momentarily stops, and then begins to slide back up the ramp. 9) How far from the end of the spring is the box when it again comes to a stop? d m µ θ Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors
K= 12 mv 2
U g = mgh
W = P ∆t W = Fd cos θ P = Fv Chapter 5 Test
Ue = 12 kx 2 FORM 2
Fe = −kx
g = 9.81 m s 2 [ down ]
2 Given: ax + bx + c = 0 W = ∆ K + ∆U + Q Ff = µ FN then: x = −b ± b 2 − 4ac 2a UNLESS OTHERWISE INSTRUCTED: ASSUME FRICTIONLESS, HORIZONTAL MOTION ASSUME ALL SPRINGS ARE INITIALLY AT THEIR RELAXED LENGTH A child's toy wagon (mass m = 10 kg) is pulled from rest by a constant force F = 50 N, which acts in a direction 40˚ from the vertical. The wagon moves horizontally across a frictionless surface. 1) What is the speed of the wagon when it has moved a horizontal distance of 5.0 m? A non-zero net force acts on an object. 2) Under what conditions will this force do NO work on the object? Give two examples, and explain your answers. A spring has a force constant k = 650 N/m. It is compressed by pushing its end 1.5 cm to the left. Your hand then keeps the spring in place. 3) 4) What force does the spring exert on your hand? How much work must you do to compress the spring by an additional 2.5 cm? A 0.01-kg object is initially sliding at 5.0 m/s. It moves down a ramp (decreasing its elevation by 1.5 m), and then moves horizontally before striking a spring of force constant k = 100 N/m. The spring is compressed by 5.0 cm as it completely stops the object. 5) How much heat energy was created during this motion? A 5-kg block is dropped from rest from a point 4.0 m above the top of a spring of force constant k = 800 N/m, as shown at right. 6) 7) 8) At what rate is gravity doing work on the block at the instant it strikes the spring? What is the maximum compression of the spring? 4m k = 800 N/m For the instant at which the speed of the block is largest, describe in words (a) the net force acting on the mass; (b) the potential energy of the spring; (c) the potential energy of the system; (d) and the total energy of the system. A box of mass m = 40 kg is released from rest at the top of a ramp. The coefficient of kinetic friction between the box and the ramp is µ = 0.2, and the ramp makes an angle θ = 35º to the horizontal. After sliding a distance d = 4 m down the ramp, the box strikes a spring of force constant k = 500 N/m, as shown at right. The box compresses the spring, momentarily stops, and then k begins to slide back up the ramp. 9) How far from the end of the spring is the box when it again comes to a stop? d m µ θ Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors
K= 12 mv 2
U g = mgh
W = P ∆t W = Fd cos θ P = Fv Chapter 5 Test
Ue = 12 kx 2 FORM 3
Fe = −kx
g = 9.81 m s 2 [ down ]
2 Given: ax + bx + c = 0 W = ∆ K + ∆U + Q Ff = µ FN then: x = −b ± b 2 − 4ac 2a UNLESS OTHERWISE INSTRUCTED: ASSUME FRICTIONLESS, HORIZONTAL MOTION ASSUME ALL SPRINGS ARE INITIALLY AT THEIR RELAXED LENGTH A child's toy wagon (mass m = 10 kg) is pulled from rest by a constant force F = 50 N, which acts in a direction 40˚ from the vertical. The wagon moves horizontally across a frictionless surface. 1) How far has the wagon moved at the instant its speed is 4.0 m/s? A non-zero net force accelerates an object. 2) Under what conditions will NO work be done on this object? Give two examples, and explain your answers. A spring has a force constant k = 650 N/m. It is compressed by pushing its end 2.5 cm to the right. Your hand then keeps the spring in place. 3) 4) What force does the spring exert on your hand? How much work must you do to compress the spring by an additional 1.5 cm? A 0.01-kg object is initially sliding at 5.0 m/s. It moves down a ramp and then moves horizontally before striking a spring of force constant k = 100 N/m. The spring is compressed by 5.0 cm as it completely stops the object, and 0.200 J of heat are produced. 5) What is the vertical height of the ramp? A 5-kg block is dropped from rest from a point 4.0 m above the top of a spring of force constant k = 800 N/m, as shown at right.
4m 6) 7) 8) At what rate is gravity doing work on the block at the instant it is 1.0 m above the spring? What is the maximum compression of the spring?
k = 800 N/m For the instant at which the speed of the block is largest, describe in words the magnitude of the following: (a) the net force acting on the mass; (b) the potential energy of the spring; (c) the potential energy of the system; (d) and the total energy of the system. Do not describe equations. Do not define quantities. Briefly explain your answers. A box of mass m = 40 kg is released from rest at the top of a ramp. The coefficient of kinetic friction between the box and the ramp is µ = 0.2, and the ramp makes an angle θ = 35º to the horizontal. After sliding a distance d = 4 m down the ramp, the box strikes a spring of force constant k = 500 N/m, as shown at right. The box compresses the spring, momentarily stops, and then k begins to slide back up the ramp. Eventually the block stops a distance L away from the spring. 9) How much heat is produced during this motion? d m µ θ Distributed By: Tyrone G Carter TGC ...

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