To determine The speed and direction of 100 g cart and 300 g cart Explanation Principle of energy conservation describe the total energy of the system should remain conserve. It means the initial kinetic energy plus initial potential energy of the system equals final kinetic energy plus final potential energy of the system as given below: K i + P i = K f + P f 1 2 m v 1 2 + 1 2 M v 2 2 = 1 2 k x 2 …… (1) Now, by the conservation of linear momentum as given below: m v 1 = M v 2 …… (2) Here, v 1 is the velocity of first cart and v 2 is the velocity of second cart. Given: Speed of the cart v = 1.0 m/s Spring constant k = 120 N/m Distance x = 0.04 m Mass of the first block m = 100 g Mass of second block M = 300 g Formula used: K i + P i = K f + P f 1 2 m v 1 2 + 1 2 M v 2 2 = 1 2 k x 2 And m v 1 = M v 2 Calculation: Substitute, m = 100 g , M = 300 g , k = 120 N/m and x = 0.04 m in equation (1) as given below: 1 2 m v 1 2 + 1 2 M v 2 2 = 1 2 k x 2 1 2 ( 0.100 kg ) v 1 2 + 1 2 ( 0.300 kg ) v 2 2 = 1 2 ( 120 N/m ) ( 0

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

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ISBN: 9780133942651

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Chapter 11, Problem 83EAP

To determine

The speed and direction of 100 g cart and 300 g cart

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Chapter 11, Problem 82EAP

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Ch. 11 - Prob. 1CQ Ch. 11 - Prob. 2CQ Ch. 11 - \A 2 kg object is moving to the right with a speed...Ch. 11 - Prob. 4CQ Ch. 11 - Prob. 5CQ Ch. 11 - Angie, Brad, and Carlos are discussing a physics...Ch. 11 - Prob. 7CQ Ch. 11 - Automobiles are designed with “crumple zones”...Ch. 11 - A golf club continues forward after hitting the...Ch. 11 - Suppose a rubber ball collides head-on with a more...

Ch. 11 - Two particles collide, one of which was initially...Ch. 11 - Two ice skaters, Paula and Ricardo, push off from...Ch. 11 - Prob. 13CQ Ch. 11 - At what speed do a bicycle and its rider, with a...Ch. 11 - What is the magnitude of the momentum of A 3000 kg...Ch. 11 - What impulse does the force shown in FIGURE EX11.3...Ch. 11 - What is the impulse on a 3.0 kg particle that...Ch. 11 - Prob. 5EAP Ch. 11 - Prob. 6EAP Ch. 11 - Prob. 7EAP Ch. 11 - Prob. 8EAP Ch. 11 - Prob. 9EAP Ch. 11 - A sled slides along a horizontal surface on which...Ch. 11 - Prob. 11EAP Ch. 11 - A g air-track glider collides with a spring at one...Ch. 11 - A 250 g ball collides with a wall. FIGURE EX11.13...Ch. 11 - A 5000 kg open train car is rolling on...Ch. 11 - Prob. 15EAP Ch. 11 - Prob. 16EAP Ch. 11 - Three identical train cars, coupled together, are...Ch. 11 - A 300 g bird flying along at 6.0 m/s sees a 10 g...Ch. 11 - Prob. 19EAP Ch. 11 - A 1500 kg car is rolling at 2.0 m/s. You would...Ch. 11 - Prob. 21EAP Ch. 11 - A 50 g marble moving at 2.0 m/s strikes a 20 g...Ch. 11 - A proton is traveling to the right at 2.0 × 107...Ch. 11 - Prob. 24EAP Ch. 11 - Prob. 25EAP Ch. 11 - Prob. 26EAP Ch. 11 - Prob. 27EAP Ch. 11 - Prob. 28EAP Ch. 11 - Prob. 29EAP Ch. 11 - Prob. 30EAP Ch. 11 - Two particles collide and bounce apart. FIGURE...Ch. 11 - An object at rest explodes into three fragments....Ch. 11 - A 20 g ball of clay traveling east at 3.0 m/s...Ch. 11 - 34. At the center of a 50-m-diameter circular ice...Ch. 11 - A small rocket with 15 kN thrust burns 250 kg of...Ch. 11 - A rocket in deep space has an empty mass of 150 kg...Ch. 11 - A rocket in deep space has an exhaust-gas speed of...Ch. 11 - A tennis player swings her 1000 g racket with a...Ch. 11 - A 60 g tennis ball with an initial speed of 32 m/s...Ch. 11 - A 500 g cart is released from rest 1.00 m from the...Ch. 11 - A 200 g ball is dropped from a height of 2.0 m,...Ch. 11 - The flowers of the bunchberry plant open with...Ch. 11 - A particle of mass in is at rest at t = 0. Its...Ch. 11 - Air-track gliders with masses 300 g, 400 g, and...Ch. 11 - Most geologists believe that the dinosaurs became...Ch. 11 - Squids rely on jet propulsion to move around. A...Ch. 11 - A firecracker in a coconut blows the coconut into...Ch. 11 - One billiard ball is shot east at 2.0 m/s. A...Ch. 11 - a. A bullet of mass m is fired into a block of...Ch. 11 - Prob. 50EAP Ch. 11 - An object at rest on a flat, horizontal surface...Ch. 11 - A 1500 kg weather rocket accelerates upward at 10...Ch. 11 - Prob. 53EAP Ch. 11 - Two 5 g blocks of wood are 2.0 m apart on a...Ch. 11 - A 100 g granite cube slides down a 40°...Ch. 11 - You have been asked to design a “ballistic spring...Ch. 11 - In FIGUREP11.57, a block of mass m slides along a...Ch. 11 - The stoplight had just changed and a 2000 kg...Ch. 11 - Prob. 59EAP Ch. 11 - Force Fx= (10 N) sin (2pt/4.0 s) is exerted on a...Ch. 11 - A 500 g particle has velocity vx=5.0 m/s at t = 2...Ch. 11 - 30 ton rail car and a 90 ton rail car, initially...Ch. 11 - Prob. 63EAP Ch. 11 - Prob. 64EAP Ch. 11 - Prob. 65EAP Ch. 11 - Old naval ships fired 10 kg cannon balls from a...Ch. 11 - A proton (mass 1 u) is shot toward an unknown...Ch. 11 - The nucleus of the polonium isotope 214Po (mass...Ch. 11 - Prob. 69EAP Ch. 11 - A 20 g ball of clay traveling east at 2.0 m/s...Ch. 11 - Prob. 71EAP Ch. 11 - Prob. 72EAP Ch. 11 - Prob. 73EAP Ch. 11 - a. To understand why rockets often have multiple...Ch. 11 - Prob. 75EAP Ch. 11 - Prob. 76EAP Ch. 11 - Prob. 77EAP Ch. 11 - In Problems 75 through 78 you are given the...Ch. 11 - A 1000 kg cart is rolling to the right at 5.0 m/s....Ch. 11 - Prob. 80EAP Ch. 11 - Prob. 81EAP Ch. 11 - A two-stage rocket is traveling at 1200 m/s with...Ch. 11 - 83. The air-track carts in FIGURE P11.83 are...Ch. 11 - Section 11.6 found an equation for vmaxof a rocket...

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