Concept explainers
(a)
The
(a)
Answer to Problem 55P
Explanation of Solution
Write an expression to calculate the acceleration.
Here, the acceleration is
Write an expression to calculate the slope of the
Here, the slope is
Thus, the slope of
Conclusion:
The
Figure 1
The
(b)
The speed of the graph after 8.0 s on the incline.
(b)
Answer to Problem 55P
The speed of the graph after 8.0 s on the incline is
Explanation of Solution
Write an expression to find the speed of the graph after 8.0 s on the incline.
Here,
Conclusion:
Substitute
Speed of the graph after 8.0 s on the incline is
(c)
The distance travelled by the train up the incline after 8.0 s.
(c)
Answer to Problem 55P
The distance travelled by the train up the incline after 8.0 s is
Explanation of Solution
Write an expression to calculate the distance travelled by the train up the incline after 8.0 s
Here,
Conclusion:
Substitute
Thus, the distance travelled by the train up the incline after 8.0 s is
(d)
Motion diagram to show the position of the train at 2.0 s.
(d)
Answer to Problem 55P
Explanation of Solution
Motion diagram is used to determine the position of the train. The motion diagram is drawn by marking the position of train at different time. The motion diagram is illustrative model for motion of the particle.
The trains velocity and time can be used to find the position of the train at various spots. The position can be marked against the time. The position of the object at any time can be determined from motion diagram.
Conclusion:
The motion diagram is shown in figure 2. The position of object at 2.0 s is 40 m as marked in the motion diagram.
Figure 2
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