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Chapter 5: Q.29 (page 129)

A single force with x-component Fxacts on a 2.0 kg object as it

moves along the x-axis. The object’s acceleration graph (ax versus t)

is shown in the figure. Draw a graph of Fx versus t.

Short Answer

Expert verified

According to Newton's Second Law of motion, the force acting on the body is directly proportional to the acceleration of the body and inversely proportional to the mass of the body.

Therefore, the graph is obtained for the force-time graph.

Step by step solution

01

Given information:

The mass of the object is m = 2.0 kg.

The force with x-component Fx is acting on the object as it moves along the x-axis. The object’s acceleration graph (ax versus t) is given.

02

Calculation of forces at each points:

According to Newton's Second Law, the formula to calculate the force acting on the object along X-axis is given by

Fx=max

where Fx is the force, m is the mass and ax is the acceleration along the X-axis.

Calculate the value of forces at t=0,1,2,3,4 by using the value of acceleration.

F0=ma0=2kg0m/s2=0NF1=ma1=2kg1.5m/s2=3NF2=ma2=2kg3m/s2=6NF3=ma3=2kg0m/s2=0NF4=ma4=2kg0m/s2=0N

Make a table for the data of t, a and F:

t (s)a (m/s2)F ( N)
0 0 0
1 1.5 3
2 3 6
3 0 0
4 0 0
03

Draw the graph for Force vs time.

Plug the above data into excel sheet and draw a graph between the force and time.

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Most popular questions from this chapter

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