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Chapter 5: Q8Q (page 115)

Figure 5-25 gives three graphs of velocity component and three graphs of velocity component . The graphs are not to scale. Which graph and which graph best correspond to each of the four situations in Question 1 and Fig. 5-19?

Short Answer

Expert verified
  1. Graph ‘a’ of Vxcorresponds to case 1 of figure 5.19.
  2. Graph ‘b’ of Vxcorresponds to case 3 of figure 5.19.
  3. Graph ‘c’ of Vxcorresponds to cases 2 and 4 of figure 5.19.
  4. Graph ‘d’ of Vycorresponds to case 2 of figure 5.19.
  5. Graph ‘e’ ofVycorresponds to case 1 of figure 5.19
  6. Graph ‘f’ ofVycorresponds to case 3 and case 4 of figure 5.19

Step by step solution

01

Given information

The graph is given in figure 5-25

02

To understand the concept

We can calculate the velocity of an object from the graph of force by assuming the mass value as constant.

03

(a) To graph a of Vx corresponds to case 1 of figure 5.19

Graph ‘a’

Velocity component Vx is constant for the given values of the time. It means the acceleration for an object and hence the x component of force is zero. This is case 1 of figure 5.19, as in that figure forces on the x-axis get canceled out.

04

(b) graph a of Vx corresponds to case 3 of figure 5.19

Graph ‘b’

This graph shows that the value of Vx is increasing with time. So, this graph corresponds to case 3, as in this case, the force component along x is negative.

05

(c) To graph a of Vx corresponds to cases 2 and 4 of figure 5.19

Graph ‘c’

This graph shows the velocity Vx increasing in the negative direction. So, this graph corresponds to cases 2 and 4.

06

(d) To graph a of Vx corresponds to case 2 of figure 5.19

Graph ‘d’

This graph has a constant value for the y component of velocity. So, this corresponds to case 2.

07

(e) To graph a of Vx corresponds to case 1 of figure 5.19

Graph ‘e’

This graph shows the Vy values are increasing with time t. Hence, it corresponds to case 1.

08

(f) To graph a of Vx corresponds to cases 3 and 4 of figure 5.19

Graph ‘f’

This graph shows the Vy component increasing in a negative direction. Hence, it corresponds to case 3 and case 4.

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