Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 5, Problem 68P
To determine
The value of b.
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9. Consider the falling object of mass 10 kg in Example 2, but
assume now that the drag force is proportional to the square of the
velocity.
a. If the limiting velocity is 49 m/s (the same as in Example 2),
show that the equation of motion can be written as
1 (49² - 1²).
245
dy
dt
Also see Problem 21 of Section 1.1.
b. If y(0) = 0, find an expression for v(t) at any time.
Gc. Plot your solution from part b and the solution (26) from
Example 2 on the same axes.
d. Based on your plots in part c, compare the effect of a
quadratic drag force with that of a linear drag force.
e. Find the distance x(t) that the object falls in time t.
Nf. Find the time T it takes the object to fall 300 m.
Newton's universal law of gravitation states that every particle in the
universe attracts every other particle with a force along a line joining them.
The force is directly proportional to the product of their masses and
inversely proportional to the square of the distance between them.
Mathematically, it can be written as
GMm
F
According to this law, when mass of both objects is doubled, the force
r
m
becomes two times larger compared to original
O becomes four times larger compared to original
becomes quarter of the original
O becomes half compared to original
Somone is standing on a piece of cardboard holding a wire that is attached to a vehicle. The friction between the cardboard and road is 67N. The wire makes a 24° angle with the road. The tension on the wire is 134N. If they start from rest how long does it take them to reach a speed of 14m/s and how far have they traveled? The mass of the person and the cardboard is 80kg
Chapter 5 Solutions
Physics for Scientists and Engineers
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