Hello. Could you please answer these physics questions? I would appreciate it if you would show all your work that leads to your answers. Please try all of them, and for some questions, the answers are already beside the questions in parenthesis! Thanks for all you do!

Momentum, Impulse & Collisions Problem Set Momentum, Impulse & Collisions Problem Set 1. If an object is not moving, what is its momentum? 15. A 65.0 kg ice skater moving to the right with a velocity of 2.50 m's throws a 0.150 kg snowball to the right 2. If a particle's kinetic energy is zero, what is its momentum? with a velocity of 32.0 m/'s relative to the ground. 3. If two particles have equal kinetic energies, do they have equal momentum? Explain. a. What is the velocity of the skater after throwing the snowball? Disregard the friction between the 4. Show that Fret = ma and F= Ap / At are equivalent. skates and the ice. (2.43 m/s to the right) 5. A truck loaded with sand is moving down the highway in a straight path. b. A second skater initially at rest with a mass of 60.0 kg catches the snowball. What is the velocity a. What happens to the momentum of the truck if the truck's velocity is increasing? of the second skater after catching the snowball in a perfectly inelastic collision? (7.97 x 10 m/s b. What happens to the momentum of the truck if sand leaks at a constant rate through a hole in the to the right) truck bed while the truck maintains a constant velocity? 16. Consider a perfectly inelastic collision between a small car and a large truck traveling at the same speed. 6. When a car collision occurs, an air bag is inflated, protecting the passengers from serious injury. How does Which vehicle has a greater change in kinetic energy as a result of the collision? the air bag soften the blow? Discus in terms of momentum and impulse. 17. If two objects collide and one is initially at rest, is it possible for both to be at rest after the collision? Is it 7. Consider a field of insects, all of which have essentially the same mass. possible for one to be at rest after the collision? Explain. a. If the total momentum of the insects is zero, what does this imply about their motion? 18. Two carts with masses of 4.0 kg and 3.0 kg move toward each other on a frictionless track with speeds of b. If the total kinetic energy of the insects is zero, what does this imply about their motion? 5.0 m/s and 4.0 m/'s respectively. The carts stick together after colliding head-on. Determine the final speed 8. How do car bumpers that collapse on impact help protect a driver? of the carts. (1.14 m/'s) 9. Calculate the linear momentum for each of the following cases: 19. A 1.20 kg skateboard is coasting along the pavement at a speed of 5.00 m's when a 0.800 kg cat drops from a a proton with a mass of 1.67 x 1027 kg moving with a velocity of 5.00 x 10 m/s straight up. a tree vertically downward onto the moving skateboard. What is the speed of the skateboard-cat (8.35 x 102 kg m/s upward) combination? (3.00 m/s) b. A 15.0 g bullet moving with a velocity of 10.0 m/s southwest (0.15 kg m/s to the southwest) 20. A 25.0 g marble sliding to the right at 20.0 cm/s overtakes and collides elastically with a 10.0 g marble c. Earth (m = 5.98 x 1024 kg) moving in its orbit with a velocity equal to 2.98 x 10* m/s forward moving in the same direction at 15.0 cm/s. After the collision, the 10.0 g marble moves to the right at 22.1 (1.78 x 1029 kg m/'s forward) cm/s. Calculate the velocity of the 25.0 g marble after the collision. (1.72 x 10' cm/s to the right) 10. A 2.5 kg ball strikes a wall with a velocity of 8.5 m/s to the left. The ball bounces off of the wall with a 21. A moving object has a kinetic energy of 150 J and 30.0 kg m/s of momentum. Determine the mass and velocity of 7.5 m/s to the right. If the ball is in contact with the wall for 0.25 s, what is the constant force speed of the object. (3.0 kg; 10 m's) exerted on the ball by the wall? (1.6 X 102 N to the right) 22. A 5.5 kg dart is fired into a block of wood which has a mass of 22.6 kg. The wood block is initially at rest 11. A 0.15 kg baseball moving at +26 m/s is slowed to a stop by a catcher who exerts a constant force of -390 and is on top of a 1.5 m tall post. After the collision, the wood block and the dart land 2.5 m from the base N. how long does it take this force to stop the ball? How far does the ball travel before stopping? (1.0 x 10 of the post Determine the initial speed of the dart. (2.3 x 10' m/s) s; 1.3 x 10" m) 23. An 8.0 g bullet is fired into a 2.5 kg pendulum bob initially at rest and becomes embedded into the bob. If 12. Two skaters initially at rest push against each other so that they move in opposite directions. What is the the pendulum rises a vertical distance of 6.0 cm, calculate the initial speed of the bullet. (3.4 x 10* m/s) total momentum of the skaters when they begin moving? Explain. 24. A 2250 kg car traveling at 10.0 m/s collides with a 2750 kg car that is initially at rest at a stoplight. The cars 13. As a ball falls towards Earth, the momentum of the ball increases. How would you reconcile this stick together and move 2.50 m before friction causes them to stop. Determine the coefficient of kinetic observation with the law of conservation of momentum? friction between the cars and the road, assuming that the negative acceleration is constant and that all wheels 14. An astronaut carrying a camera in space finds herself drifting away from a space shuttle after her tether on both vehicles lock at the time of impact (4.13 x 10") becomes unfastened. If she has no propulsion device, what should she do to move back towards the shuttle