Momentum Worksheet brooks wilson Name__________________________ Date _____________ Period ____ True or False? true _______1.) Momentum is not equal to the mass of an object divided by its velocity. true _______2.) The momentum of an object can change. false _______3.) Two objects with the same mass will always have the same momentum. true _______4.) All moving objects don’t have momentum. true _______5.) When an object speeds up, it gains momentum. false _______6.) Objects with different masses can’t have the same momentum. false _______7.) Direction does not matter when you are measuring momentum. true _______8.) Momentum can be transferred from one object to another. false _______9.) When objects collide, some momentum is lost. true _______10.) A tiny bullet can have more momentum than a huge truck. Fill in the blank. twice 11.) A moving car has momentum. If it moves twice as fast, its momentum is ________________ as much. 12.) Two cars, one twice as heavy as the other, move down a hill at the same speed. Compared to the lighter twice car, the momentum of the heavier car is ___________________ as much. Given the following data, solve for momentum. P = mv Object Mass (kg) Velocity (m/s) 13.) Bird .04 19 14.) Football player 100 Momentum (kg-m/s) .76 10 1,000 15.) Skier 60 20 1,200 16.) Bullet .004 600 17.) Frog .9 12 18.) Meteorite .1 1,000 19.) Baseball .14 30 2.4 10.8 100 4.2 20.) Wagon 2 3 21.) Satellite 3,000 8,000 6 24,000,000 Equation Gives you… Momentum If you know… Mass and Speed Mass Momentum and Speed Speed Momentum and Mass 22.) A steel ball whose mass is 2.0 kg is rolling at a rate of 2.8 m/s. What is its momentum? Looking for Solution the momentum Given P=m*v m= 2.0kg v= 2.8m/s Relationships there is none 23.) A marble is rolling at a velocity of 1.5 m/s with a momentum of 0.10 kgm/s. What is its mass? Looking for Given Relationships Solution 24.) On April 15, 1912, the luxury cruise liner Titanic sank after running into an iceberg. What was the cruise liner’s speed when it collided with the ice berg if it had a mass of 4.23 x 108 kg ship and a momentum of 4.9 x 109 kg·m/s? Looking for Solution Given Relationships 25.) Suppose you are traveling in a bus at highway speed on a nice summer day and the momentum of an unlucky bug is suddenly changed as it splatters onto the front window. a) Compared to the force that acts on the bug, how much force acts on the bus. (more) (the same) (less) b) Although the momentum of the bus is very large compared to the momentum of the bug, the change in momentum of the bus compared to the change in momentum of the bug is (more) (the same) (less) c) Which experiences the greater acceleration (HINT: think of Newton’s 2nd Law)? (bus) (both the same) (bug) d) Which, therefore, suffers the greater damage? (bus) (both the same) (the bug of course!) Name ________________________________________ Date __________ Period ________ Worksheet: Conservation of Momentum CHAPTER 8: Momentum Directions: Answer the following questions concerning the conservation of momentum using the equations below. Show all of you work to receive credit. p = mv pbefore = pafter Ft = ∆ (mv ) impulse = F∆t net momentum before = net momentum after ( m1v1 + m2 v2 ) before = ( m1v1 + m2 v2 ) after 1. When these two freight cars of different mass collide and couple, what will be their resultant velocity? 2. A 2 kg blob of putty moving at 4 m/s slams into a 6 kg blob of putty at rest. What is the speed of the two stuck-together blobs immediately after colliding? 3. A football player runs at 8 m/s and plows into a 80 kg referee standing on the field causing the referee to fly forward at 5.0 m/s. If this were a perfectly elastic collision, what would the mass of football player be? 4. Assuming that this is a perfect inelastic collision, calculate the velocity after the collision in the example below. 5. A large locomotive with a mass 4 times that of the smaller motionless railroad car collides and couples together. What is their combined speed after the collision? 6. A 2.0 kg mass is moving on a frictionless airtrack. It collides into a motionless 1.5 kg mass. What is the the combined speed of the two masses if they stick together on impact? 7. A 1000 kg car is rolling down the street at 2.5 m/s. How fast would a 2500 kg car have to collide into it in order to bring it to rest (0 m/s)? 8. A railroad car slams into another railroad car and couples together. What is the combined speed of the railroad cars after the collision? 9. Two blocks moving in opposite directions collide and stick together after the collision. What is their combined speed after the collision? 10. An explosion causes the cars to move apart from each other. According to the diagram below, what is the speed of each of the cars as they move away from each other? 11. A 3000-kg truck moving rightward with a speed of 5 km/hr collides head-on with a 1000-kg car moving leftward with a speed of 10 km/hr. The two vehicles stick together and move with the same velocity after the collision. Determine the post-collision speed of the car and truck. 12. During a goal-line stand, a 75-kg fullback moving eastward with a speed of 10 m/s collides head-on with a 100-kg lineman moving westward with a speed of 4 m/s. The two players collide and stick together, moving at the same velocity after the collision. Determine the the postcollision velocity of the two players. 13. Calculate the velocity of the rifles recoil after firing. 14. What is the velocity of the "8" ball after the elastic collision below? 15. A 6000 kg railroad car moving at 5 m/s collides into a stationary car with a mass of 4000 kg. If they couple together after the collision, what will be their combined velocity immediately after impact?