Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 6, Problem 46CP
For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed:
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For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: net = −mkv2î, where k is a constant. The speed of the object after t = 0 is given by
v = vi/(1 + kvit).
(a) Find the position x of the object as a function of time. (Use the following as necessary: k, m, t, and vi.)x(t) =
(b) Find the object's velocity as a function of position. (Use the following as necessary: k, m, t, vi, and x.)
v(t)=
The force acting on a particle is F - (10x – 17) N, where x is in meters.
(a) Make a plot of this force versus x from x = 0 to x = 3.00 m.
F (N)
F (N)
20
50
40
10-
30
0,5
20
1.0
20
25
x (m)
30
-10
10
atx (m)
3.0
0.5
1.0
1.5
2.0
2.5
F (N)
F (N)
0,5
1.0
1,5
2.0
2.5
x (m)
30
10
-10
-20
0,5
15
x (m)
30
10
2.5
-30
-10
-40
-50
-20
(b) From your graph, find the net work done by this force on the particle as it moves from x = 0 to x= 2.55 m. (Include the correct sign.)
An object with mass m = 34 kg is pushed with 452 N of force to be moved across a distance of 4.6 m on a surface with friction. Initially the object is moving at vi = 0.82 m/s and after being moved across 4.6 m, the final speed is 2.5 m/s. What is the magnitude of the frictional force acting on the object in the unit of N?
Chapter 6 Solutions
Physics for Scientists and Engineers
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