Question 1

Which of the following combinations of tension $$F (in$$ $$\mathrm{kg\ m\ s$$^{-2}$$}) $$and mass per unit length $$\mu (in$$ $$\mathrm{kg\ m$$^{-1}$$}) $$gives the correct proportionality for the speed $$v of a $$wave on a string?

Accepted Answer

$$v \propto \sqrt{\dfrac{F}{\mu}}$$

Question 2

A car starts from rest and accelerates at $$1.50\ \mathrm{m/s^2$}$$ for $$4.00\ \mathrm{s}$$, then continues at constant velocity for $$5.00\ \mathrm{s}. $$What is the total distance traveled by the car?

Accepted Answer

$$48.0\ \mathrm{m}$$

Question 3

A rock is dropped from rest from the top of a $$60\ \mathrm{m}$$ tall building. How far above the ground is the rock $$1.2\ \mathrm{s}$$ before it reaches the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$34\ \mathrm{m}$$

Question 4

Refer to the vector diagram provided. Which equation correctly represents $$\vec{S} in $$terms of $$\vec{M}$$ and $$\vec{N}$$?

Accepted Answer

$$\vec{S} = \vec{M} + \vec{N}$$

Question 5

A car travels $$4\ \mathrm{km}$$ due east, then $$8\ \mathrm{km} at$$ $$30^\circ$$ south of east. What is the magnitude of the car’s total displacement?

Accepted Answer

$$10.9\ \mathrm{km}$$

Question 6

A hockey puck slides off a platform horizontally at $$28\ \mathrm{m/s}$$ and hits the ground $$2.4\ \mathrm{s}$$ later. What is the height of the platform? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$56.4\ \mathrm{m}$$

Question 7

A child throws a ball with an initial speed of $$8.0\ \mathrm{m/s} at$$ $$40^\circ$$ above the horizontal from $$1.0\ \mathrm{m}$$ above the ground. The ball just clears a fence after $$0.25\ \mathrm{s}$$ while still rising. What is the vertical component of the velocity as the ball passes over the fence?

Accepted Answer

$$4.1\ \mathrm{m/s}$$

Question 8

You step into an elevator and it accelerates downward for $$4.6\ \mathrm{s}$$ before moving at constant speed. Your apparent weight during acceleration is $$75\% of $$your actual weight. What is the acceleration of the elevator?

Accepted Answer

$$2.45\ \mathrm{m/s^2$}$$

Question 9

Two blocks rest on a frictionless surface. A force $$2F is $$applied to the left block of mass $$2m at$$ $$60^\circ$$ below the horizontal, and a force $$F/2$$ acts to the left on the right block of mass $$m. $$What is the acceleration of the system?

Accepted Answer

$$\dfrac{F}{3m}$$

Question 10

A skier starts from rest at the top of a $$24^\circ$$ slope $$1.3\ \mathrm{km}$$ long. Neglecting friction, how long does it take to reach the bottom? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$23.2\ \mathrm{s}$$

Question 11

If the coefficient of kinetic friction between the skier and the $$24^\circ$$ slope is $$0.20$$, what is the skier’s acceleration down the slope?

Accepted Answer

$$2.1\ \mathrm{m/s^2$}$$

Question 12

A hockey puck slides off a platform horizontally at $$28\ \mathrm{m/s}$$ and lands $$67.2\ \mathrm{m}$$ from the base. How long was the puck in the air?

Accepted Answer

$$2.4\ \mathrm{s}$$

Question 13

A child throws a ball with an initial speed of $$8.0\ \mathrm{m/s} at$$ $$40^\circ$$ above the horizontal from $$1.0\ \mathrm{m}$$ above the ground. What is the height of the fence if the ball just clears it after $$0.25\ \mathrm{s}$$?

Accepted Answer

$$2.1\ \mathrm{m}$$

Question 14

A force $$2F is $$applied to a block of mass $$2m at$$ $$60^\circ$$ below the horizontal. What is the horizontal component of the applied force?

Accepted Answer

$$F$$

Question 15

A car accelerates from rest at $$1.5\ \mathrm{m/s^2$}$$ for $$4.0\ \mathrm{s}$$, then continues at constant velocity for $$5.0\ \mathrm{s}. $$What is the car’s velocity at the end of the acceleration phase?

Accepted Answer

$$6.0\ \mathrm{m/s}$$

Vector Addition and Displacement Problems in College Physics

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