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Unformatted text preview: 2004 Test Physics Honors Distributed By: Tyrone G Carter Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F ∆t Ff = µ FN Form 1 W = Fd cosθ θ1f − θ 2f = 90
sometimes v1o + v1f = v2o + v2f
sometimes v1f = v2f
sometimes 1 K = mv 2 2 U g = mgh 1 U e = kΔx 2 2 sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cosθ
Law of Cosines A 0.1 kg dart is thrown at a 2.0 kg block of wood that rests on a flat, rough surface. The initial velocity of the dart is 30 m/s [W]. The dart sticks in the block, and the dart and block together slide a distance of 50 cm before coming to rest.
1) 2) If the dart accelerates for 0.015 s after it strikes the block, what average force acts on the dart? What is the coefficient of kinetic friction between the block and the surface? A 0.20kg ball is sliding on a frictionless, horizontal surface with a velocity of 2.5 m/s [S] when it elastically collides with a 0.20kg ball that is at rest. After the collision, one ball is moving at 2.25 m/s.
3) What is the velocity of the other ball after the collision? Superman (mass m = 125 kg) is flying north at 10.0 m/s. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois when she has a speed of 40 m/s.
4) What is Superman’s velocity just after he catches Lois? A 75g rubber ball moving north at 8 m/s strikes a 50g rubber ball moving south at 5 m/s.
5) 6) 7) 8) After the collision, what is the maximum velocity of the 50g ball? If after the collision the 75g ball comes to rest, what impulse acts on the 50g ball? If after the collision the 75g ball comes to rest, what is the final velocity of the 50g ball? What is the maximum amount of heat and sound energy that can be produced by this collision? A 10g block sliding due west at 2.0 m/s collides with a stationary 8.0g block on a frictionless surface. The twodimensional collision converts 20% of the 10g block’s energy into heat and sound. After the collision, the 10g block is sliding at 1.50 m/s. 9) What is the final velocity of the 8g block? 2005 Test Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors Chapter 6 Test: Momentum and Impulse version 1 sometimes sometimes sometimes Law of Cosines Law of Sines A 0.1 kg dart is thrown at a dartboard with an initial velocity of 10 m/s [W]. It accelerates for 0.015 s as it comes to a stop in the dartboard. 1) What impulse acts on the dart? A 0.20kg ball is sliding on a frictionless, horizontal surface with a velocity of 2.5 m/s [S] when it elastically collides with a 0.20kg ball that is at rest. After the collision, one ball is moving at 2.15 m/s in a generally southeast direction. 2) What is the velocity of the other ball after the collision? Superman (mass m = 125 kg) is flying north at 10.0 m/s. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois when she has a speed of 40 m/s. 3) What is Superman’s velocity just after he catches Lois? A clown on a skateboard carries a big gun, which shoots bullets that have a mass of 2 kg. The bullets leave the gun at 200 m/s (relative to the gun). With the clown and skateboard moving at 5 m/s, the clown shoots the gun in the direction he is moving. The total mass of the clown, the skateboard, the gun, and the bullet is 110 kg. 4) What is the speed of the clown and skateboard after the gun has fired one bullet? A 1kg block slides down a 5m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 2kg box that is initially at rest, as shown at right. The collision is completely elastic. 5) What is the velocity of the 1kg block just after the collision? A 1000 kg rocket ship is initially zooming toward Mars at 500 m/s when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. 6) What is the final velocity of the rocket ship? Identical constant net forces act to push two identical masses A and B continuously from a starting line to a finish line. Mass A is initially at rest and mass B is initially moving toward the finish line. Both objects move the same distance while being pushed. 7) Which mass has the larger change in momentum? Explain your answer. You are to knock over a gigantic bowling pin at a fair by throwing a ball at it. You have a choice between two balls, one that will bounce off the bowling pin, and another that will stick to the bowling pin 8) Which ball do you choose? Explain your answer. A 10g block sliding due west at 2.0 m/s collides with a stationary 8.0g block on a frictionless surface. The twodimensional collision converts 20% of the 10g block’s energy into heat and sound. After the collision, the 10g block is sliding at 1.50 m/s in a generally northwest direction. 9) What is the final velocity of the 8g block?
Distributed By: Tyrone G Carter TGC 2006 Test Physics Honors Distributed By: Tyrone G Carter Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F∆t version 1 v1f = v 2f
sometimes θ 1f + θ 2f = 90 sometimes v10 + v1f = v 20 + v 2f
sometimes K= 1 mv 2 2 U g = mgh sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cos θ
Law of Cosines A 75g rubber ball moving north at 8 m/s strikes a 50g rubber ball moving south at 5 m/s. 1) If after the collision the 75g ball comes to rest, what is the final velocity of the 50g ball? 2) What is the maximum amount of heat and sound energy that can be produced by this collision? Identical constant net forces act to push two identical masses A and B continuously from a starting line to a finish line. Mass A is initially at rest and mass B is initially moving toward the finish line. Both objects move the same distance while being pushed. 3) Which mass has the larger change in momentum? Explain your answer. A 0.20kg ball is sliding on a frictionless, horizontal surface with a velocity of 2.5 m/s [N] when it elastically collides with a 0.20kg ball that is at rest. After the collision, one ball is moving at 2.25 m/s in a generally northeast direction. 4) What is the velocity of the other ball after the collision? Superman (mass M = 125 kg) is flying north. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois, saving her from certain discomfort. Just before Superman grabs Lois, she has a speed of 40 m/s. Afterwards, they both have a speed of 15 m/s. 5) What is Superman’s speed just before he catches Lois?
block A 1kg block slides down a 5m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 2kg box that is initially at rest, as shown at right. The collision is completely elastic. 6) What is the velocity of the 1kg block just after the collision? 5m A 1000 kg rocket ship is zooming toward Mars when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. After the rocket engines turn off, the final 0 kN 1 velocity of the rocket ship is 1000 m/s 7) What was the initial velocity of the rocket ship? Force (kN) You are to knock over a gigantic bowling pin in a carnival game by throwing a ball at it. You have a choice between two balls: one that will bounce off the bowling pin, and another that will stick to the bowling pin. 8) Which ball do you choose? Explain your answer. time (s) 0 15 40 50 A 10g block sliding due west at 2.0 m/s collides with a stationary 8.0g block on a frictionless surface. The twodimensional collision converts 25% of the 10g block’s energy into heat and sound. After the collision, the 8g block is sliding at 1.50 m/s in a generally northwest direction. 9) What is the final velocity of the 10g block?
Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F∆t version 2 v1f = v 2f
sometimes θ 1f + θ 2f = 90 sometimes v10 + v1f = v 20 + v 2f
sometimes K= 1 mv 2 2 U g = mgh sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cos θ
Law of Cosines Superman (mass M = 150 kg) is flying north. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois, saving her from certain discomfort. Just before Superman grabs Lois, she has a speed of 40 m/s. Afterwards, they both have a speed of 15 m/s. 1) What is Superman’s speed just before he catches Lois? A 1kg block slides down a 4m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 2kg box that is initially at rest, as shown at right. The collision is completely elastic. 2) What is the velocity of the 1kg block just after the collision? block 4m A 1000 kg rocket ship is zooming toward Mars when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. After the rocket engines turn off, the final 0 kN 1 velocity of the rocket ship is 2000 m/s 3) What was the initial velocity of the rocket ship? Force (kN) You are to knock over a gigantic bowling pin in a carnival game by throwing a ball at it. You have a choice between two balls: one that will bounce off the bowling pin, and another that will stick to the bowling pin. 4) Which ball do you choose? Explain your answer. time (s) 0 15 40 50 A 75g rubber ball moving north at 7 m/s strikes a 50g rubber ball moving south at 5 m/s. 5) 6) If after the collision the 75g ball comes to rest, what is the final velocity of the 50g ball? What is the maximum amount of heat and sound energy that can be produced by this collision? Identical constant net forces act to push two identical masses A and B continuously from a starting line to a finish line. Mass A is initially at rest and mass B is initially moving toward the finish line. Both objects move the same distance while being pushed. 7) Which mass has the larger change in momentum? Explain your answer. A 0.20kg ball is sliding on a frictionless, horizontal surface with a velocity of 2.5 m/s [N] when it elastically collides with a 0.20kg ball that is at rest. After the collision, one ball is moving at 2.05 m/s in a generally northeast direction. 8) What is the velocity of the other ball after the collision? A 10g block sliding due west at 2.0 m/s collides with a stationary 8.0g block on a frictionless surface. The twodimensional collision converts 30% of the 10g block’s energy into heat and sound. After the collision, the 8g block is sliding at 1.60 m/s in a generally northwest direction. 9) What is the final velocity of the 10g block? Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F∆t version 3 v1f = v 2f sometimes θ 1f + θ 2f = 90 sometimes v10 + v1f = v 20 + v 2f
sometimes K= 1 mv 2 2 U g = mgh sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cos θ
Law of Cosines A 75g rubber ball moving north at 8 m/s strikes a 50g rubber ball moving south at 5 m/s. 1) 2) What is the maximum possible northward velocity that the 50g ball can have after the collision? What is the minimum possible northward velocity that the 50g ball can have after the collision? A 0.20kg ball is sliding on a frictionless, horizontal surface with an unknown initial southward velocity when it elastically collides with a 0.20kg ball that is at rest. After the collision, the velocity of one of the balls is 2.15 m/s [S30°W]. 3) What was the initial speed of the moving ball before the collision? Superman (mass m = 125 kg) is flying north at 10.0 m/s. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois when she has a downward speed of 40 m/s. 4) What impulse acts on Lois as Superman catches her?
block A 1kg block slides down a 5m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 2kg box that is initially at rest, as shown at right. The collision is completely elastic. Afterwards, the box slides up a second frictionless incline. 5) To what vertical height up the second incline does the box travel? 5m Identical constant net forces act to push two identical masses A and B continuously from a starting line to a finish line. Mass A is initially at rest and mass B is initially moving away from the finish line. Both objects have the same displacement while being pushed. 6) Which mass has the larger change in momentum? Explain your answer.
10 kN Force (kN) A 1000 kg rocket ship is zooming toward Mars when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. 7) What was the rocket ship’s change in velocity? You are to knock over a gigantic bowling pin at a fair by throwing a ball at it. You have a choice between two balls, one that will bounce off the bowling pin, and another that will stick to the bowling pin. 8) Which ball do you choose? Explain your answer. time (s) 15 40 50 A 10g block sliding due west at 2.0 m/s collides with a stationary 8.0g block on a frictionless surface. The twodimensional collision converts 20% of the 10g block’s energy into heat and sound. After the collision, the 10g block is sliding at 1.30 m/s in a generally northwest direction. 9) What is the direction of motion of the 10g block after the collision?
Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter 2007 Test Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F∆t form 1 v1f = v 2f
sometimes θ 1f + θ 2f = 90
sometimes v10 + v1f = v 20 + v 2f
sometimes K= 1 mv 2 2 U g = mgh sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cos θ
Law of Cosines A 75g rubber ball moving north at 8 m/s strikes a 50g rubber ball moving south at 5 m/s. The collision is onedimensional. 1) If the collision is elastic, what is the final velocity of the lighter ball? 2) If after the collision the heavy ball is at rest, what is the final velocity of the lighter ball? A 20g ball is sliding on a frictionless, horizontal surface with an unknown initial southward velocity when it elastically collides with a 20g ball that is at rest. After the collision, the velocity of one of the balls is 2.15 m/s [S30°W]. 3) What was the initial speed of the moving ball before the collision?
block A 1kg block slides down a 5m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 2kg box that is initially at rest, as shown at right. The collision is completely elastic. Afterwards, the box slides up a second frictionless incline. 4) To what vertical height up the second incline does the box travel? 5m A 1000 kg rocket ship is zooming toward Mars when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. The rocket increases its speed by 500 m/s. 5) What is the maximum force Fmax exerted by the engine? Force (kN) Fmax time (s) 15 40 50 Suppose you crash your car into a tree, as shown at right. 6) a) All other things being equal, are you better off in a more massive car or a lighter one? Why? b) Is it better to be in a car that crumples on impact rather than one that keeps its shape? Why? Superman (mass m = 125 kg) is flying north at 10.0 m/s. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois when she has a downward speed of 40 m/s. 7) 8) What impulse acts on Lois as Superman catches her? What is Superman’s momentum before the collision? A 2kg ball is sliding on a frictionless, horizontal surface with an unknown initial eastward velocity when it elastically collides with a 1kg ball that is at rest. After the collision, the velocity of the 2kg ball is 2.15 m/s [E30°N]. 9) What is speed of the 1kg ball after the collision?
Distributed By: Tyrone G Carter TGC Physics Honors Distributed By: Tyrone G Carter Physics Honors p = mv Chapter 6 Test: Momentum and Impulse ∆p = F∆t form 2 v1f = v 2f sometimes θ 1f + θ 2f = 90
sometimes v10 + v1f = v 20 + v 2f
sometimes K= 1 mv 2 2 U g = mgh sin θ a sin θ b sin θ c = = a b c
Law of Sines c 2 = a 2 + b 2 − 2ab cos θ
Law of Cosines Superman (mass m = 125 kg) is flying north at 20.0 m/s. Lois Lane (mass m = 50 kg) is falling from the top of a tall building. Superman catches Lois when she has a downward speed of 50 m/s. 1) 2) What is Superman’s momentum before the collision? What impulse acts on Lois as Superman catches her?
Force (kN) A 900 kg rocket ship is zooming toward Mars when it turns on its engines. The force exerted by the engine that pushes the rocket ship towards Mars varies with time as shown in the graph at right. The rocket increases its speed by 600 m/s. 3) What is the maximum force Fmax exerted by the engine? Fmax time (s) 15 40 50 Suppose you crash your car into a tree, as shown at right. 4) a) All other things being equal, are you better off in a more massive car or a lighter one? Why? b) Is it better to be in a car that crumples on impact rather than one that keeps its shape? Why? A 20g ball is sliding on a frictionless, horizontal surface with an unknown initial eastward velocity when it elastically collides with a 20g ball that is at rest. After the collision, the velocity of one of the balls is 2.50 m/s [E30°N]. 5) What was the initial speed of the moving ball before the collision?
block A 1kg block slides down a 5m high frictionless slope. Once it reaches the bottom of the slope, the block moves to the left and strikes a 3kg box that is initially at rest, as shown at right. The collision is completely elastic. Afterwards, the box slides up a second frictionless incline. 5m 6) To what vertical height up the second incline does the box travel? A 75g rubber ball moving north at 8 m/s strikes a 50g rubber ball moving south at 4 m/s. The collision is onedimensional. 7) If the collision is elastic, what is the final velocity of the lighter ball? 8) If after the collision the heavy ball is at rest, what is the final velocity of the lighter ball? A 2kg ball is sliding on a frictionless, horizontal surface with an unknown initial eastward velocity when it elastically collides with a 1kg ball that is at rest. After the collision, the velocity of the 2kg ball is 2.15 m/s [E30°N]. 9) What is speed of the 1kg ball after the collision?
Distributed By: Tyrone G Carter TGC ...
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 Spring '09
 Ramesh
 Physics, Momentum

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