PHYS2091_U5 AS

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Rowan College of South Jersey, Sewell *

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101

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Physics

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Dec 6, 2023

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docx

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3

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PHYS2091 Unit 5 AS: Homework 5 Description: The purpose of this assignment is to develop problem-solving skills using real-life examples. The students will engage in problems ranging from everyday activities to the applications of physics in biology. Instructions: This assignment has 15 questions of various complexities. Upload your answers as a single PDF file on Blackboard. 35 points CSLO 1, 2, 3 1. (3 points) (a) Calculate the momentum of a 2000-kg elephant charging a hunter at a speed of 7.50 m/s. (b) Compare the elephant’s momentum with the momentum of a 0.0400-kg tranquilizer dart fired at a speed of 600 m/s. (c) What is the momentum of the 90.0-kg hunter running at 7.40 m/s after missing the elephant? 2. (2 points) (a) What is the momentum of a garbage truck that is 1.2 × 10 4 kg and is moving at 10.0 m/s? (b) At what speed would an 8.00-kg trash can have the same momentum as the truck? 3. (2 points) A 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. (a) Calculate the duration of the impact. (b) What was the average force exerted on the nail? 4. (1 point) Suppose a clay model of a koala bear has a mass of 0.200 kg and slides on ice at a speed of 0.750 m/s. It runs into another clay model, which is initially motionless and has a mass of 0.350 kg. Both being soft clay, they naturally stick together. What is their final velocity? 5. (3 points) A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces straight back at 2.40 m/s. The collision lasts 0.0150 s.
(a) Calculate the average force exerted on the ball by the bumper. (b) How much kinetic energy in joules is lost during the collision? (c) What percent of the original energy is left? 6. (2 points) A battleship that is 6.00 × 10 7 kg and is originally at rest fires a 1100-kg artillery shell horizontally with a velocity of 575 m/s. (a) If the shell is fired straight toward the rear of the ship, there will be negligible friction opposing the ship’s recoil. Calculate its recoil velocity. (b) Calculate the increase in internal kinetic energy for the ship and the shell. 7. (6 points) A 0.0250-kg bullet is accelerated from rest to a speed of 550 m/s in a 3.00-kg rifle. The pain of the rifle’s kick is much worse if you hold the gun loosely a few centimeters from your shoulder rather than holding it tightly against your shoulder. (a) Calculate the recoil velocity of the rifle if it is held loosely away from the shoulder. (b) How much kinetic energy does the rifle gain? (c) What is the recoil velocity if the rifle is held tightly against the shoulder, making the effective mass 28.0 kg? (d) How much kinetic energy is transferred to the rifle-shoulder combination? The pain is related to the amount of kinetic energy, which is significantly less in this latter situation. (e) Calculate the momentum of a 110-kg football player running at 8.00 m/s. (f) Compare the player’s momentum with the momentum of a hard thrown 0.410-kg football that has a speed of 25.0 m/s. 8. (2 points) (a) During an ice-skating performance, an initially motionless 80.0-kg clown throws a fake barbell away. The clown’s ice skates allow her to recoil frictionlessly. If the clown recoils with a velocity of 0.500 m/s and the barbell is thrown with a velocity of 10.0 m/s, what is the mass of the barbell? (b) How much kinetic energy is gained by this maneuver? 9. (2 points) Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1200 kg and is approaching at 8.00 m/s due south. The second car has a mass of 850 kg and is approaching at 17.00 m/s due west. (a) Calculate the final velocity (magnitude and direction) of the cars. (b) How much kinetic energy is lost in the collision? 10. (2 points) Ball 1, with mass of 100 g and traveling at 10 m/s, collides head-on with ball2, which has a mass of 300 g and is initially at rest. What are the final velocities of each ball if the collision is: (a) perfectly elastic? (b) perfectly inelastic?
11. (2 points) Two coupled boxcars are rolling along at 2.5 m/s when they collide with and couple to a third, stationary boxcar. (a) What is the final speed of the three coupled boxcars? (b) What fraction of the cars’ initial kinetic energy is transformed into thermal energy? 12. (2 points) As part of a safety investigation, two 1,400 kg cars traveling at 20 m/s are crashed into different barriers. Find the average forces exerted on: (a) the car that hits a line of water barrels and takes 1.5 s to stop, and (b) the car that hits a concrete barrier and takes 0.1 s to stop. 13. (2 points) In a Little League Baseball game, the 145 g ball enters the strike zone with a speed of 15.0 m/s. The batter hits the ball, and it leaves his bat with a speed of 20.0 m/s in exactly the opposite direction. (a) What is the magnitude of the impulse delivered by the bat to the ball? (b) If the bat is in contact with the ball for 1.5 ms, what is the magnitude of the average force exerted by the bat on the ball? 14. (2 points) A tennis player swings her 1,000 g racket with a speed of 10 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s. (a) How fast is her racket moving immediately after the impact? Treat this problem by ignoring the interaction of the racket with her hands for the brief duration of the collision. (b) If the tennis ball and the racket are in contact for 10 ms, what is the average force that the racket exerts on the ball? 15. (2 points) At the center of a 50 m diameter circular ice rink, a 75 kg skater traveling north at 2.5 m/s collides with and holds onto a 60 kg skater who had been heading west at 3.5 m/s. (a) How long will it take them to glide to the edge of the rink? (b) In what direction will they reach it? (Provide your answer as an angle north of west.)
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