1st Edition

ISBN: 9781630182137

Author: Samuel J Ling Jeff, Sanny, William Moebs

Publisher: OpenStax

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A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine par…

Kinetic Energy and Work-Energy Theorem

In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the d…

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Textbook Question

Chapter 8, Problem 22P

Someone drops a 50 — g pebble off of a docked cruise ship, 70.0 m from the water line. A person on a dock 3.0 m from the water line holds out a net to catch the pebble. (a) How much work is done on the pebble by gravity during the drop? (b) What is the change in the gravitational potential energy during the drop? If the gravitational potential energy is zero at the water line, what is the gravitational potential energy (c) when the pebble is dropped? (d) When it reaches the net? What if the gravitational potential energy was 30.0 Joules at water level? (e) Find the answers to the same questions in (c) and (d).

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Chapter 8, Problem 21P

Chapter 8, Problem 23P

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In an isothermal process, you are told that heat is being added to the system. Which of the following is not true? (a) The pressure of the gas is decreasing. (b) Work is being done on the system. (c) The average kinetic energy of the particles is remaining constant. (d) The volume of the gas is increasing. (e) Work is being done by the system.

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8.114 CALC A Variable-Mass Raindrop. In a rocket-propul- sion problem the mass is variable. Another such problem is a rain- drop falling through a cloud of small water droplets. Some of these small droplets adhere to the raindrop, thereby increasing its mass as it falls. The force on the raindrop is dp dv dm Fext = + dt dt dt = Suppose the mass of the raindrop depends on the distance x that it has fallen. Then m kx, where k is a constant, and dm/dt = kv. This gives, since Fext = mg, dv mg = m + v(kv) dt Or, dividing by k, dv xgx + v² dt This is a differential equation that has a solution of the form v = at, where a is the acceleration and is constant. Take the initial velocity of the raindrop to be zero. (a) Using the proposed solution for v, find the acceleration a. (b) Find the distance the raindrop has fallen in t = 3.00 s. (c) Given that k = 2.00 g/m, find the mass of the raindrop at t = 3.00 s. (For many more intriguing aspects of this problem, see K. S. Krane, American Journal of…

Chapter 8 Solutions

University Physics Volume 1

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