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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 鈥榓鈥� of Vxcorresponds to case 1 of figure 5.19.
  2. Graph 鈥榖鈥� of Vxcorresponds to case 3 of figure 5.19.
  3. Graph 鈥榗鈥� of Vxcorresponds to cases 2 and 4 of figure 5.19.
  4. Graph 鈥榙鈥� of Vycorresponds to case 2 of figure 5.19.
  5. Graph 鈥榚鈥� ofVycorresponds to case 1 of figure 5.19
  6. Graph 鈥榝鈥� 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 鈥榓鈥�

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 鈥榖鈥�

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 鈥榗鈥�

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 鈥榙鈥�

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 鈥榚鈥�

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 鈥榝鈥�

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

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