Chapter 4 Worksheet. 5. Energy before equals energy after. This is the law of conservation of energy.
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1 Chater 4 Worksheet Part1: sentence comletion 1. Imulse is Force times time. Momentum is mass times velocity. 3. More inertia imlies more mass. 4. Imulse equals change of momentum. 5. Energy equals energy. This is the law of conservation of energy. 6. Momentum equals momentum. This is the law of conservation of momentum_. Part: Multile choices 1. Imulse is (D A. A force alied to an object. B. The force alied to an object. C. The momentum alied to an object D. The change in momentum due to a force being alied to an object during a short eriod of time.. Momentum is (B A. Equal to seed times weight. B. Equal to mass times velocity. C. Another alternative name to force D. All of the above is correct. 3. What is the metric (SI unit of momentum? (A A. Kg. m/s. B. Newton. C. Kg m/s D. Newton. meter 4. Which of the following statement is correctly exressing the conservation of total momentum of interacting objects? (C A. The total momentum always remains the same. B. The total momentum remains the same if there are no internal forces. C. The total momentum remains the same if there are no external forces. D. No one of the above is correct. 5. A 000 kg car is moving to the right at 30m/sec and collided with a wall and comes to rest at 0. sec. The average force the car exerts on the wall is (D A. 1. x10 4 N to the right B. 3 x10 5 N to the left Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page -8
2 3 C. 6 x 10 4 N to the right D. None of the above 6. A 3kg object moves to the right with a seed of 4 m/sec. It collides in a erfectly elastic collision with a 6kg object moving to the left at m/sec. What is the total kinetic energy the collision?(a A. 7 J B. 36 J C. 4 J D. 0 J 7. How long must a 100 N force act to roduce a change in momentum 00 kg.m/sec? (D A. 0.5 sec B sec C. 1.0 sec D..0 sec 8. Which is a vector quantity? (D A. Energy B. Work C. Power D. Momentum 9. When the velocity of an object is doubled, its is also doubled (C A. Gravitational otential energy B. Acceleration C. Momentum D. Kinetic energy 10. Imulse is related to (D A. Kinetic energy B. Change in kinetic energy C. Momentum D. Change in momentum Part 3: True of false 1. The imulse is always in the same directions as the average force. (A. The momentum of an object remains the same when the net external force acting on it is zero. (A 3. If the kinetic energy of an object is zero, then its momentum must not be zero. (B 4. A large force always roduces a larger imulse on a body than a smaller force. (B Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 3-8
3 4 5. The kinetic energy is always conserved both in elastic collisions and inelastic collisions. (B 6. If two articles of different masses have equal kinetic energy they also have equal momentum. (B Part3: Exercises 1. An average force of 50 N acts on a ball for 0.05 sec. (a what is the magnitude of the imulse on the ball? (b What is the change in the ball s momentum? ( a J F t J (50N (0.05 sec 1.5N.sec ( b J 1.5 kg.. What is the momentum of 000 kg truck traveling with 5m/sec? mv ( 000kg (5mlsec 50,000kg. m/sec 3. A football of mass 1.5 kg and a seed of m/sec and ing ong ball of mass 0.003kg and a seed of 4 m/sec. Which ball has the larger momentum? m v ( football (1.5kg (m / sec 3.0kg. ( ing ong (0.003kg (4m / sec 0.01kg. ( footbal ( ing ong 4. A force of 100N acts on a ball ly at rest for 0.05 sec. (a what is the imulse on the ball? (b What is the momentum of the ball? Note: I forgot to add a value to the force in the roblem. I correct it and add 1000N Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 4-8
4 5 ( a J ( b J F t J (1000N (0.05sec 50N.sec f i f 0 J or f 50kg. 5. A ice skater with a mass of 80kg ushes off against his child ice skater whose mass is 45kg. Both skaters were ly at rest. (a What is the total momentum of both skaters they ush off? (b If the skater moves off with seed of 1.5 m/sec, what is the seed of the child? (a Assuming external forces (friction is zero, therefore the momentum of both and is conserved meaning: 0 0 also, or 0 ( This means that and will move with same momentum, but at different directions (b (80kg (1.5m / sec 10kg. 10kg. 6. A shi, shown in the drawing below, at rest in sace gives a short blast of its engine, firing 50kg of exhaust gas out the back end with an average velocity of 00 m/sec. What is the change in momentum of the during this blast? In outer sace there is no friction, therefore momentum is conserved. 0 gas 0 0 or 10,000kg. gas, (50kg (00m / sec 10,000kg. 0 10,000kg. 7. A and a shown in the drawing below. The of mass 1.5 kg fires a of 5g mass. The moves with muzzle velocity v = 500m/sec. (a what is the momentum of the fired B Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 5-8 gas
5 6? (b If the external forces acting on the are ignored, what is its recoil velocity firing the? Momentum is conserved, therefore ( a ( b, or ( firing (0.005kg (500m / sec.5kg..5kg. (1.5kg ( v ' R ( v ' R 1.7m / sec 0 ( rofle 8. Consider the collision of train cars shown below as a erfectly inelastic collision. Find the velocity of the couled cars collision. Assume a 10,000 kg mass of each car Because the collision is inelastic, therefore the total momentum is conserved, but the total KE is not. ( ( m 4,0000kg. v 1m / sec 0,000kg Part4: Challenge exercises A B 1 (10,000kg(4m / sec 0 4,0000kg. m v (10,000kg v 4,0000kg. Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 6-8
6 7 1. A is fired into a block of wood sitting on a block of ice. The has an velocity of 350m/sec and a mass of 50g. The wooden block has a mass of kg and is ly ate rest. The remains inside the wooden block collision. (a Assuming the momentum is conserved; find the velocity of wood and the collision. (b What is the magnitude of the imulse that acts on the block of wood? Friction between block and ice is ignored, therefore, momentum is conserved. This is an examle of comletely inelastic ( m m V wood (0.050kg(350m / sec 0 (0.050kg kg V wood 17.5kg. V 8.54m / sec.05kg. A 000 kg car is traveling north with seed of 30 m/sec collides head on with a 4000kg truck traveling south with seed of 0 m/sec. The car and truck stick together the collision. (a What is the total momentum of the system of car and truck collision? (b What is the velocity of both just the collision? (c What is the total kinetic energies of the system collision? (d What is the total kinetic energies just the collision? (e Is the collision elastic or inelastic? Exlain This kind of collision is comletely inelastic. Momentum is conserved. ( a (000kg(30m /sec (4000kg( 0m /sec (60,000 80,000 0,000kgm. / sec south 0,000kgm. / sec ( b fter ( mcar mtruck V 0,000kgm. / sec V 3.33m / sec south 6000kg ( c KE mcarvcar mtruckvtruck (000kg(900m / sec (4000kg(400m / sec 6 KE Joule 1 1 ( d KE ( mcar mtruck V (6000kg( 3.33m / sec Joule ( e because KE KE collision is not elastic Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 7-8
7 8 Part 5: learning from vision 1. What can you tell from just looking at this drawing? Imulse rovided by the nail changes the momentum of the hammer. The hammer has momentum and its momentum equals zero. Pgsc001, solutions to worksheet 3(imulse and momentum, yuc Page 8-8
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