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# Classical Mechanics of Displacement

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1. Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box. Rank the magnitude of a given particle's average acceleration, from smallest to largest, as interpreted from the following velocity vs. time graphs describing motion.

2. Displacement is:
a) the distance traveled from the first position to the final position
b) the distance from the origin to the final position
c) the change of the position vector from the first position to the final position
d) the vector from the origin to the final position

3. A crate of oranges weighing 127 N rests on a flatbed truck 1,47 m from the back of the truck The coefficients of friction between the crate and the truck are u(s) = 0.256 and u(k) = 0.161. The truck drives a straight , level highway at a constant 4.6 m/s.
a) What is the force of friction acting on the crate?
b) If the truck speeds up with an acceleration of 1.63 m/s^2, what is the force of the friction on the crate?
c) What is the maximum acceleration the truck can have without the crate starting to slide?

4. A bicycle travels 3.3 km due east in 0.78 hours, then 4.4 km at 13.5 degrees east of north in 0.52 hours and finally another 2.0 km due east in 0.60 hours to reach its destination. The time lost in turning is negligible. What is the average velocity for the entire trip?

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#### Solution Preview

Please see the attachment for full solutions and work.

1. Acceleration is the rate of chance of velocity, which is the slope of the graph of velocity vs. time. The acceleration of both C and D are zero since their velocities are both constant, so C and D belong in the first box. The accelerations of A and B are equal and positive, so they belong in the second box. Finally, since E has the largest slope, it has the highest acceleration, so it belongs in the third ...

#### Solution Summary

The expert solves four problems in classical mechanics. The change of the position vector from the first position to the final position is discussed.

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## Classical Mechanics: Crate and Friction

A student could either pull or push, at an angle of 300 from the horizontal, a 50-kg crate on a horizontal surface, where the coefficient of kinetic friction between the crate and surface is 0.20. The crate is to be moved a horizontal distance of 15 m.

(a) Compared with pushing, pulling requires the student to do
(1) less, (2) the same, or (3) more work.

(b) Calculate the minimum work required for both pulling and pushing.

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