The force acting on an object is given by Fx = (5x − 6) N, where x is in meters. (a) Choose the plot that best describes the force versus x from x = 0 to x = 3.00 m. A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,−3) and extends up and to the right at a constant slope to (3,9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,−6) and extends up and to the right at a constant slope to (3,9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,3) and extends down and to the right at a constant slope to (3,−9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,6) and extends down and to the right at a constant slope to (3,−9). (b) Estimate Fx(0). N Estimate Fx(3.0 m). N Estimate the x intercept. m From your graph, find the net work done by the force as the object moves from x = 0 to x = 3 m. (Use your estimates.) J

Principles of Physics: A Calculus-Based Text

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ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 8P

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Question

The force acting on an object is given by

F_x = (5x − 6) N,

where x is in meters.

(a) Choose the plot that best describes the force versus x from

x = 0

x = 3.00 m.

A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). The line starts at (0,−3) and extends up and to the right at a constant slope to (3,9).	A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). The line starts at (0,−6) and extends up and to the right at a constant slope to (3,9).
A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). The line starts at (0,3) and extends down and to the right at a constant slope to (3,−9).	A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). The line starts at (0,6) and extends down and to the right at a constant slope to (3,−9).

(b) Estimate

F_x(0).

N

Estimate

F_x(3.0 m).

N

Estimate the x intercept.
m

From your graph, find the net work done by the force as the object moves from

x = 0

x = 3 m.

(Use your estimates.)
J

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