Question 1

A car accelerates uniformly from rest and travels a distance of $$100\ \mathrm{m} in$$ $$5\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

$$4\ \mathrm{m/s^2$}$$

Question 2

A block of mass $$2\ \mathrm{kg} is $$pulled across a horizontal surface with a coefficient of kinetic friction $$\mu_k = 0.3. $$What is the magnitude of the frictional force acting on the block?

Accepted Answer

$$5.88\ \mathrm{N}$$

Question 3

A projectile is launched with an initial velocity of $$20\ \mathrm{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of its initial velocity?

Accepted Answer

$$20\cos 30^\circ$$

Question 4

Which equation would you use to find the time it takes for an object to fall from rest from a height $$h ($$neglecting air resistance)?

Accepted Answer

$$\Delta y = v_{y0} t + \frac{1}{2} a_y t^2$

Question 5

A $$0.5\ \mathrm{kg}$$ mass is attached to a spring with spring constant $$k = 200\ \mathrm{N/m}$$ and stretched $$0.1\ \mathrm{m}$$ from equilibrium. What is the magnitude of the restoring force?

Accepted Answer

$$20\ \mathrm{N}$$

Question 6

A student throws a ball straight up with an initial velocity of $$15\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5\ \mathrm{m}$$

Question 7

A $$10\ \mathrm{kg}$$ box is at rest on a horizontal surface. The coefficient of static friction is $$0.4. $$What is the maximum force that can be applied horizontally before the box starts to move?

Accepted Answer

$$39.2\ \mathrm{N}$$

Question 8

A cyclist moves with a constant velocity of $$12\ \mathrm{m/s}$$ for $$30\ \mathrm{s}. $$What is the total displacement?

Accepted Answer

$$360\ \mathrm{m}$$

Question 9

A ball is thrown horizontally from a $$45\ \mathrm{m}$$ high cliff. How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 10

A $$5\ \mathrm{kg}$$ object is acted on by a net force of $$20\ \mathrm{N} to $$the right. What is its acceleration?

Accepted Answer

$$4\ \mathrm{m/s^2$}$$

Question 11

A car traveling at $$25\ \mathrm{m/s}$$ comes to a stop in $$5\ \mathrm{s}. $$What is its average acceleration?

Accepted Answer

$$-5\ \mathrm{m/s^2$}$$

Question 12

A $$3\ \mathrm{kg}$$ object is attached to a spring and oscillates horizontally. If the spring constant is $$150\ \mathrm{N/m}$$, what is the period of oscillation?

Accepted Answer

$$1.41\ \mathrm{s}$$

Question 13

A $$2\ \mathrm{kg}$$ block slides down a frictionless incline of height $$5\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$9.9\ \mathrm{m/s}$$

Question 14

A $$0.2\ \mathrm{kg}$$ ball is attached to a string and swung in a horizontal circle of radius $$0.5\ \mathrm{m} at a $$speed of $$2\ \mathrm{m/s}. $$What is the magnitude of the centripetal force?

Accepted Answer

$$1.6\ \mathrm{N}$$

Question 15

A $$1.5\ \mathrm{kg}$$ object is dropped from a height of $$10\ \mathrm{m}. $$What is its velocity just before hitting the ground? (Neglect air resistance)

Accepted Answer

$$14.0\ \mathrm{m/s}$$

Question 16

A $$4\ \mathrm{kg}$$ object is pulled with a force of $$20\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of the force?

Accepted Answer

$$20\cos 30^\circ$$

Question 17

A $$0.8\ \mathrm{kg}$$ object is moving at $$6\ \mathrm{m/s}$$ and comes to rest in $$3\ \mathrm{s}$$ due to a constant friction force. What is the magnitude of the friction force?

Accepted Answer

$$1.6\ \mathrm{N}$$

Question 18

A $$2\ \mathrm{kg}$$ block is attached to a spring and pulled so that the spring is stretched by $$0.25\ \mathrm{m}. If $$the spring constant is $$80\ \mathrm{N/m}$$, what is the force exerted by the spring?

Accepted Answer

$$20\ \mathrm{N}$$

Question 19

A $$1.0\ \mathrm{kg}$$ object is moving in the positive $$x-$$direction with a velocity of $$5\ \mathrm{m/s}. A $$constant force of $$-2\ \mathrm{N}$$ acts on it for $$3\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$-1\ \mathrm{m/s}$$

Question 20

A $$0.5\ \mathrm{kg}$$ mass is suspended from a spring and stretches it by $$0.04\ \mathrm{m}. $$What is the spring constant $$k$$?

Accepted Answer

$$122.5\ \mathrm{N/m}$$

Equation Sheet for Introductory Physics: Kinematics, Dynamics, and Trigonometry

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