Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 9, Problem 83GP
Consider a one-dimensional. head-on elastic collision. One object has a mass m1 and an initial velocity u1; the other has a mass m2 and an initial velocity u2. Use momentum conservation and energy conservation to show that the final velocities of the two masses are
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Consider the collision pictured below. While m2 = 10kg is initially at rest, horizontally moving mị = 6kg with a speed of v1 = 11.8m/s collides with it. After the
collision, the two masses scatter with speeds of v, = 7.8m/s and v,. If 01 = 48°, determine the speed of m2 after the collision, v, =?. Express your answer in
units of m/s with one decimal place.
Note: Please note that we do not know whether or not this is an elastic collision.
Just before the collisbn
Just after the collision
at rest
Answer:
Can you solve this question quickly please?
Consider the collision pictured below. While m2=10kgm2=10kg is initially at rest, horizontally moving m1=6kgm1=6kg with a speed of v1=11.8m/sv1=11.8m/s collides with it. After the collision, the two masses scatter with speeds of v′1=7.8m/sv1′=7.8m/s and v′2v2′. If θ1=48oθ1=48o, determine the speed of m2m2 after the collision, v′2=?v2′=?. Express your answer in units of m/sm/s with one decimal place.
Note: Please note that we do not know whether or not this is an elastic collision.
A perfectly elastic collision between two colliding objects of masses m₁ and m₂ is a collision that conserves
both the quantity known as the total linear momentum and the quantity known as the total kinetic energy.
For a perfectly elastic collision between mass m₁ moving at speed v₁; and mass m₂ moving at speed v2; prior
to the collision, the conservation of total linear momentum is expressed as:
m₁v₁i + m₂v₂i = m₁v₁f + m2 V2 f
and the conservation of total kinetic energy is expressed as:
1
1
1
m₁(v₁i)² + ½ m2(v2;)² = = m₁(v₁ƒ)² + 21/1m2 (v21) ²
2
where Vif and V2f are the speeds of the masses, respectively, after the collision event.
Part (a) Determine vif and V2f in terms of m₁, 22, Vli, V2i.
Part (b) If m₁ = m₂ and v₁i = 5 [m/s] and mass 2 is initially at rest (i.e., a stationary target), find the
direction and the speed of each mass after the collision.
Part (c) If m₁ = m2, v₁i = 5 [m/s] and v2i = -5 [m/s] so that the two masses are initially moving toward
each other with equal…
Chapter 9 Solutions
Physics (5th Edition)
Ch. 9.1 - Enhance Your Understanding (Answers given at the...Ch. 9.2 - Enhance Your Understanding (Answers given at the...Ch. 9.3 - Enhance Your Understanding (Answers given at the...Ch. 9.4 - Enhance Your Understanding (Answers given at the...Ch. 9.5 - Prob. 5EYUCh. 9.6 - Enhance Your Understanding (Answers given at the...Ch. 9.7 - Enhance Your Understanding (Answers given at the...Ch. 9.8 - Prob. 8EYUCh. 9 - If you drop your Keys, their momentum increases as...Ch. 9 - By what factor does an objects kinetic energy...
Ch. 9 - A system of particles is known to have zero...Ch. 9 - A system of particles is known to have zero...Ch. 9 - On a calm day you connect an electric fan to a...Ch. 9 - Crash statistics show that it is safer to be...Ch. 9 - (a) As you approach a stoplight, you apply the...Ch. 9 - An object at rest on a frictionless surface is...Ch. 9 - (a) Can two objects on a horizontal frictionless...Ch. 9 - Two cars collide at an intersection. If the cars...Ch. 9 - At the instant a bullet is fired from a gun, the...Ch. 9 - Prob. 12CQCh. 9 - In the classic movie The Spirit of St. Louis,...Ch. 9 - A tall, slender drinking glass with a thin base is...Ch. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - What is the mass of a mallard duck whose speed is...Ch. 9 - (a) What is the magnitude of the momentum of a...Ch. 9 - A 54 kg person walks due north with a speed of 1.2...Ch. 9 - A 26.2-kg dog is running northward at 2.70 m/s,...Ch. 9 - Predict/Calculate Two air-track carts move toward...Ch. 9 - A 0.145-kg baseball is dropped from rest. If the...Ch. 9 - A 285-g ball falls vertically downward, hitting...Ch. 9 - Object 1 has a mass m1 and a velocity...Ch. 9 - Your car rolls slowly in a parking lot and bangs...Ch. 9 - Predict/Explain A net force of 200 N acts on a...Ch. 9 - Predict/Explain Referring to the previous...Ch. 9 - Predict/Explain Two identical cars, each traveling...Ch. 9 - Force A has a magnitude F and acts for the time t...Ch. 9 - Find the magnitude of the impulse delivered to a...Ch. 9 - A 0.45-kg croquet ball is initially at rest on the...Ch. 9 - When spiking a volleyball, a player changes the...Ch. 9 - Force Platform A force platform measures the...Ch. 9 - Air Bag Safety If a driver makes contact with a...Ch. 9 - To make a bounce pass, a player throws a 0.60-kg...Ch. 9 - BIO Concussion Impulse One study suggests that a...Ch. 9 - Predict/Calculate A 0.14-kg baseball moves toward...Ch. 9 - A player bounces a 0.43-kg soccer ball off her...Ch. 9 - Two ice skaters stand at rest in the center of an...Ch. 9 - A 0.042-kg pet lab mouse sits on a 0.35-kg...Ch. 9 - An object initially at rest breaks into two pieces...Ch. 9 - A 92-kg astronaut and a 1200-kg satellite are at...Ch. 9 - The recoil of a shotgun can be significant....Ch. 9 - A plate drops onto a smooth floor and shatters...Ch. 9 - Suppose the car in Example 9-13 has an initial...Ch. 9 - Two 78.5-kg hockey players skating at 4.47 m/s...Ch. 9 - An air-track cart with mass m1 = 0.32 kg and...Ch. 9 - Predict/Calculate A bullet with a mass of 4.0 g...Ch. 9 - BIO Concussion Recoil The human head can be...Ch. 9 - Two objects moving with a speed v travel in...Ch. 9 - In the apple-orange collision in Example 9-16,...Ch. 9 - A732-kg car stopped at an intersection is...Ch. 9 - The collision between a hammer and a nail can be...Ch. 9 - Predict/Calculate A charging bull elephant with a...Ch. 9 - Prob. 39PCECh. 9 - The three air carts shown in Figure 9-28 have...Ch. 9 - An air-track cart with mass m =0.25 kg and speed...Ch. 9 - Predict/Explain A stalactite in a cave has drops...Ch. 9 - Prob. 43PCECh. 9 - Find the x coordinate of the center of mass of the...Ch. 9 - Prob. 45PCECh. 9 - A pencil standing upright on its eraser end falls...Ch. 9 - Prob. 47PCECh. 9 - The location of the center of mass of the...Ch. 9 - The Center of Mass of Sulfur Dioxide Sulfur...Ch. 9 - Prob. 50PCECh. 9 - A 0 726-kg rope 2 00 meters long lies on a floor...Ch. 9 - Prob. 52PCECh. 9 - Prob. 53PCECh. 9 - Helicopter Thrust During a rescue operation, a...Ch. 9 - Rocks for a Rocket Engine A child sits in a wagon...Ch. 9 - A 57.8-kg person holding two 0.880-kg bricks...Ch. 9 - A fire hose can expel water at a rate of 9.5 kg/s...Ch. 9 - A 0 540-kg bucket rests on a scale Into this...Ch. 9 - Predict/Calculate Holding a long rope by its upper...Ch. 9 - CE Object A has a mass m, object B has a mass 2m,...Ch. 9 - CE Object A has a mass m, object B has a mass 4m,...Ch. 9 - CE A juggler performs a series of tricks with...Ch. 9 - A golfer attempts a birdie putt, sending the 0...Ch. 9 - Predict/Calculate Two trucks drive directly away...Ch. 9 - Prob. 65GPCh. 9 - A 1 35-kg block of wood sits at the edge of a...Ch. 9 - In a stunt, three people jump off a platform and...Ch. 9 - Predict/Calculate The carton of eggs shown in...Ch. 9 - The Force of a Storm During a severe storm in Palm...Ch. 9 - An experiment is performed in which two air carts...Ch. 9 - Figure 9-40 shows position-versus-time data from...Ch. 9 - To balance a 35.5-kg automobile tire and wheel, a...Ch. 9 - A hoop of mass M and radius R rests on a smooth,...Ch. 9 - Predict/Calculate A 63-kg canoeist stands in the...Ch. 9 - Prob. 75GPCh. 9 - A young hockey player stands at rest on the ice...Ch. 9 - Prob. 77GPCh. 9 - A 0.454-kg block is attached to a horizontal...Ch. 9 - BIO Escaping Octopus The giant Pacific octopus...Ch. 9 - Prob. 80GPCh. 9 - The three air carts shown in Figure 9-44 have...Ch. 9 - Unlimited Overhang Four identical textbooks, each...Ch. 9 - Consider a one-dimensional. head-on elastic...Ch. 9 - Two air carts of mass m1 = 0.84 kg and m2 = 0.42...Ch. 9 - Golden Earrings and the Golden Ratio A popular...Ch. 9 - Amplified Rebound Height Two small rubber balls...Ch. 9 - Predict/Calculate Weighing a Block on an Incline A...Ch. 9 - Predict/Calculate A uniform rope of length L and...Ch. 9 - Prob. 89PPCh. 9 - Prob. 90PPCh. 9 - Prob. 91PPCh. 9 - Prob. 92PPCh. 9 - Referring to Example 9-12 Suppose a bullet of mass...Ch. 9 - Referring to Example 9-12 A bullet with a mass m =...Ch. 9 - Referring to Example 9-19 Suppose that cart 1 has...Ch. 9 - Referring to Example 9-19 Suppose the two carts...
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