Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 55P
A small block of mass m1 = 0.500 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m2 = 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure P8.55a. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right as shown in Figure P8.55b. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (b) What is the height h of the wedge?
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Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 km and a mass of 1.0 x 1013 kg hits the earth with an impact speed of 4.0 x 104 m/s.a. What is the earth’s recoil speed after such a collision?(Use a reference frame in which the earth was initially at rest.)b. What percentage is this of the earth’s speed around the sun?(Use the astronomical data inside the back cover.)
Problem B2. A small box of mass m = 1.50 kg starts from rest and glides down a
smooth, frictionless hill from a height h = 2.00 m to the base, where it meets a
rough plank of mass M = 5.00 kg that is resting on the frictionless horizontal
ground surface. Due to the friction between the box and the plank, its speed is
reduced until, at a certain moment, it begins to move together with the plank as if
they were a single object.
M
Figure B2. Problem diagram B2
c) Calculate the work done by the friction forces present in the problem.
Problem B2. A small box of mass m = 1.50 kg starts from rest and glides down a
smooth, frictionless hill from a height h = 2.00 m to the base, where it meets a
rough plank of mass M = 5.00 kg that is resting on the frictionless horizontal
ground surface. Due to the friction between the box and the plank, its speed is
reduced until, at a certain moment, it begins to move together with the plank as if
they were a single object.
M
Figure B2. Problem diagram B2
d) Can it be ensured that the work done by the friction forces does not depend on
the choice of the reference frame? Justify your reasoning.
Chapter 8 Solutions
Principles of Physics: A Calculus-Based Text
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