Explanation Given: “Sprong” obey the force law F x = − q ( x − x e q ) 3 Where; q = the sprong constant. x e q = the equilibrium position. x eq = 0 Thus; F x = − q x 3 Mass of plastic ball = 20 g The sprong constant = 40,000. The compression of sprong = 10 cm Formula used: The force F x is given by the relation; F x = − d U d s = negative derivative of potential energy with respect to position. Where; U = Potential energy F x = interactive force x = the position. Hence; Integrate on both sides to get potential energy ∫ F x = ∫ − d U d x ∫ F x d x = ∫ - d U − ∫ F x d x = U ( x ) ⇒ U ( x ) = − ∫ F x d x Negative integral of conservative force ( F x ) will give the potential energy ( U ). The energy conservation equation is also used. If the system is both isolated and non-dissipative, then the mechanical energy is conserved: K i + U i = K f + U f Where, K = kinetic energy U = potential energy Calculation: a) For the unit of q , Consider the equation, F x = − q x 3 F x is in Newton (N) x is in meters (m) Hence; F x = − q x 3 N = q (m) 3 for unit, the sign does not matter ⇒ q = N m 3 b) Potential energy ( U ) is given by U

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Chapter 10, Problem 60EAP

To determine

The following.

a) Units of q

b) Expression for potential energy

c) The launch speed.

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Chapter 10, Problem 59EAP

Chapter 10, Problem 61EAP

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Chapter 10 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 10 - Prob. 1CQ Ch. 10 - Can kinetic energy ever be negative? Can...Ch. 10 - Prob. 3CQ Ch. 10 - 4. The three balls in FIGURE Q1O.4, which have...Ch. 10 - Rank in order, from most to least, the elastic...Ch. 10 - 6. A spring is compressed 1.0 cm. How far must you...Ch. 10 - Prob. 7CQ Ch. 10 - A particle with the potential energy shown in...Ch. 10 - A compressed spring launches a block up an...Ch. 10 - 10. A process occurs in which a system’s potential...

Ch. 10 - A process occurs in which a system’s potential...Ch. 10 - FIGURE Q10.12 is the energy bar chart for a...Ch. 10 - Prob. 13CQ Ch. 10 - Object A is stationary while objects B and C are...Ch. 10 - Prob. 2EAP Ch. 10 - 3. The lowest point in Death Valley is 85 m below...Ch. 10 - Prob. 4EAP Ch. 10 - Prob. 5EAP Ch. 10 - 6. What height does a frictionless playground...Ch. 10 - 7. A 55 kg skateboarder wants to just make it to...Ch. 10 - Prob. 8EAP Ch. 10 - A pendulum is made by tying a 500 g ball to a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - A 1500 kg car traveling at 10 m/s suddenly runs...Ch. 10 - Prob. 12EAP Ch. 10 - A cannon tilted up at a 30° angle fires a cannon...Ch. 10 - In a hydroelectric dam, water falls 25 m and then...Ch. 10 - How far must you stretch a spring with k = 000 N/m...Ch. 10 - A stretched spring stores 2.0 J of energy. How...Ch. 10 - A student places her 500 g physics book on a...Ch. 10 - A block sliding along a horizontal frictionless...Ch. 10 - A 10 kg runaway grocery cart runs into a spring...Ch. 10 - As a 15,000 kg jet plane lands on an aircraft...Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - The spring in FIGURE EX10.22a is compressed by ?x....Ch. 10 - The spring in FIGURE EXIO.23a is compressed by ?x....Ch. 10 - FIGURE EX10.24 is the potential-energy diagram for...Ch. 10 - Prob. 25EAP Ch. 10 - In FIGURE EX10.26, what is the maximum speed of a...Ch. 10 - Prob. 27EAP Ch. 10 - FIGURE EX10.28 shows the potential energy of a 500...Ch. 10 - In FIGURE EX10.28, what is the maximum speed a 200...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A system in which only one particle can move has...Ch. 10 - A particle moving along the y-axis is in a system...Ch. 10 - A particle moving along the x-axis is in a system...Ch. 10 - FIGURE EX10.34 shows the potential energy of a...Ch. 10 - A particle moves from A to D in FIGURE EX10.35...Ch. 10 - A force does work on a 50 g particle as the...Ch. 10 - A system loses 400 J of potential energy. In the...Ch. 10 - What is the final kinetic energy of the system for...Ch. 10 - How much work is done by the environment in the...Ch. 10 - A cable with 20.0 N tension pulls straight up on a...Ch. 10 - A very slippery ice cube slides in a vertical...Ch. 10 - A 50 g ice cube can slide up and down a...Ch. 10 - You have been hired to design a spring-launched...Ch. 10 - It’s been a great day of new, frictionless snow....Ch. 10 - Prob. 45EAP Ch. 10 - A 1000 kg safe is 2.0 m above a heavy-duty spring...Ch. 10 - You have a ball of unknown mass, a spring with...Ch. 10 - Sam, whose mass is 75 kg, straps on his skis and...Ch. 10 - A horizontal spring with spring constant 100 N/m...Ch. 10 - Truck brakes can fail if they get too hot. In some...Ch. 10 - Prob. 51EAP Ch. 10 - Use work and energy to find an expression for the...Ch. 10 - Prob. 53EAP Ch. 10 - The spring shown in FIGURE 10.54 is compressed 50...Ch. 10 - Prob. 55EAP Ch. 10 - Prob. 56EAP Ch. 10 - A system has potential energy U(x) = x + sin ((2...Ch. 10 - Prob. 58EAP Ch. 10 - Prob. 59EAP Ch. 10 - Prob. 60EAP Ch. 10 - The potential energy for a particle that can move...Ch. 10 - A particle that can move along the x-axis...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - An object moving in the xy-plane is subjected to...Ch. 10 - Prob. 65EAP Ch. 10 - In Problems 66 through 68 you are given the...Ch. 10 - Prob. 67EAP Ch. 10 - Prob. 68EAP Ch. 10 - A pendulum is formed from a small ball of mass m...Ch. 10 - Prob. 70EAP Ch. 10 - Prob. 71EAP Ch. 10 - Prob. 72EAP Ch. 10 - The spring in FIGURE CP10.73 has a spring constant...Ch. 10 - A sled starts from rest at the top of the...

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The following. a) Units of q b) Expression for potential energy c) The launch speed.