Question 1

Which of the following best describes the dimensional formula for force ($$F) in $$terms of mass ($$M$$), length ($$L$$), and time ($$T$$)?

Accepted Answer

$$MLT^{-2}$$

Question 2

A particle moves along the $$x-$$axis according to the equation $$x = 2t^2$ + 3$$ where $$x is in $$meters and $$t is in $$seconds. What is the acceleration of the particle?

Accepted Answer

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

Question 3

An object moves along the $$x-$$axis according to the equation $$x = 5t^2$ - 2t + 1. $$What is the velocity of the object at $$t = 3\,\mathrm{s}$$?

Accepted Answer

$$28\,\mathrm{m/s}$$

Question 4

A car traveling at an initial velocity of $$12\,\mathrm{m/s}$$ experiences a constant acceleration of $$4.0\,\mathrm{m/s^2$}$$ for $$3.0$$ seconds. What is the displacement of the car during this time?

Accepted Answer

$$54\,\mathrm{m}$$

Question 5

Which of the following velocity vs. time graphs best represents the motion of an object whose speed is increasing at a constant rate?

Accepted Answer

A straight line with positive slope

Question 6

A driver of a car starts braking when he sees a tree blocking the road $$42.4\,\mathrm{m}$$ ahead. The car slows uniformly with a deceleration of $$4.2\,\mathrm{m/s^2$}$$ and stops just in front of the tree. What was the speed of the car when braking started?

Accepted Answer

$$31\,\mathrm{m/s}$$

Question 7

A football is kicked straight toward a receiver at a speed of $$20\,\mathrm{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of the velocity?

Accepted Answer

$$17.3\,\mathrm{m/s}$$

Question 8

A ball is thrown horizontally from the top of a $$40\,\mathrm{m}$$ high building with a speed of $$10\,\mathrm{m/s}. $$How far from the base of the building does the ball land?

Accepted Answer

$$28\,\mathrm{m}$$

Question 9

Two objects are connected by a massless string over a frictionless pulley. One object ($$m_1 = 2.0$$\,\mathrm{kg}$$) rests on a frictionless incline at 30$$^\circ$$, and the other (m_2$ = 5.0\,\mathrm{kg}) $$hangs vertically. What is the acceleration of the system?

Accepted Answer

$$2.26\,\mathrm{m/s^2$}$$

Question 10

A $$32\,\mathrm{kg}$$ cement weight hangs from three wires as shown. The wires make angles of $$60^\circ$$, $$60^\circ$$, and $$45^\circ$$ with the horizontal. What is the tension in the wire making a $$45^\circ$$ angle?

Accepted Answer

$$T_3 = 325$$\,\mathrm{N}$$

Question 11

A vector has a component of $$12\,\mathrm{units} in $$the $$x-$$direction and $$5\,\mathrm{units} in $$the $$y-$$direction. What is the magnitude of the vector?

Accepted Answer

$$13\,\mathrm{units}$$

Question 12

A pool ball is struck horizontally and follows the path shown. What is the direction of the acceleration of the ball after it leaves the table?

Accepted Answer

Downward

Question 13

A train is moving at $$14\,\mathrm{km/h}$$ with respect to the ground. A man walks at $$6.0\,\mathrm{km/h}$$ with respect to the train. What is the speed of the man with respect to the ground if he walks in the same direction as the train?

Accepted Answer

$$20\,\mathrm{km/h}$$

Question 14

An object is shot from the back of a railroad flatcar moving at $$15\,\mathrm{m/s}$$ along a straight horizontal road. The launcher is aimed upward, perpendicular to the bed of the flatcar. Where does the object land?

Accepted Answer

Behind the flatcar

Question 15

Which of the following is the correct formula for the gravitational force between two masses $$m_1$$ and $$m_2$$ separated by a distance $$r$$?

Accepted Answer

$$F = G\frac{m_1$ m_2$}{r^2$}$$

Question 16

A $$1\,\mathrm{m^2$}$$ square plate has a mass of $$2\,\mathrm{kg}. $$What is the mass per unit area of the plate?

Accepted Answer

$$2.0\,\mathrm{kg/m^2$}$$

Physics I: Kinematics, Vectors, and Newton's Laws – Exam Study Notes

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