Q: A $$10\ \mathrm{kg}$$ box is pulled across a horizontal surface with a force of $$50\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the net force acting on the box?

$$50 \cos 30^\circ - (0.2 \times 10 \times 9.8)$$

Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the car's acceleration?

Accepted Answer

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

Question 2

A projectile is launched at an angle of $$30^\circ$$ above the horizontal with an initial speed of $$40\ \mathrm{m/s}. $$What is the initial vertical component of its velocity?

Accepted Answer

$$40 \sin 30^\circ = 20\ \mathrm{m/s}$$

Question 3

A $$10\ \mathrm{kg}$$ box is pulled across a horizontal surface with a force of $$50\ \mathrm{N} at an $$angle of $$30^\circ$$ above the horizontal. If the coefficient of kinetic friction is $$0.2$$, what is the net force acting on the box?

Accepted Answer

$$50 \cos 30^\circ - (0.2 	imes 10 	imes 9.8)$$

Question 4

Which of the following best describes Newton's Third Law of Motion?

Accepted Answer

For every action, there is an equal and opposite reaction.

Question 5

A $$2\ \mathrm{kg}$$ object moves in a circle of radius $$0.5\ \mathrm{m} at a $$constant speed of $$4\ \mathrm{m/s}. $$What is the magnitude of the centripetal force acting on the object?

Accepted Answer

$$16\ \mathrm{N}$$

Question 6

A $$0.5\ \mathrm{kg}$$ ball is dropped from a height of $$10\ \mathrm{m}. $$Ignoring air resistance, what is its speed just before hitting the ground?

Accepted Answer

$$14\ \mathrm{m/s}$$

Question 7

A $$3\ \mathrm{kg}$$ object moving at $$5\ \mathrm{m/s}$$ collides elastically with a stationary $$2\ \mathrm{kg}$$ object. What is the velocity of the $$3\ \mathrm{kg}$$ object after the collision?

Accepted Answer

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

Question 8

A uniform beam of length $$4\ \mathrm{m}$$ and mass $$20\ \mathrm{kg} is $$supported at its ends. A $$40\ \mathrm{kg}$$ person stands $$1\ \mathrm{m}$$ from the left end. What is the force exerted by the right support?

Accepted Answer

$$300\ \mathrm{N}$$

Question 9

Which of the following is the correct expression for the moment of inertia of a solid cylinder of mass $$M$$ and radius $$R$$ about its central axis?

Accepted Answer

$$I = \frac{1}{2} M R^2$

Question 10

A $$5\ \mathrm{kg}$$ object is moving at $$10\ \mathrm{m/s}. $$What is its kinetic energy?

Accepted Answer

$$250\ \mathrm{J}$$

Question 11

A $$0.2\ \mathrm{kg}$$ mass attached to a spring oscillates with a period of $$0.5\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$6.32\ \mathrm{N/m}$$

Question 12

A $$1\ \mathrm{kg}$$ object is attached to a string and swung in a horizontal circle of radius $$2\ \mathrm{m} at a $$speed of $$3\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$4.5\ \mathrm{N}$$

Question 13

A $$0.5\ \mathrm{kg}$$ block slides down a frictionless incline of height $$2\ \mathrm{m}. $$What is its speed at the bottom?

Accepted Answer

$$6.3\ \mathrm{m/s}$$

Question 14

A $$10\ \mathrm{kg}$$ object is moving at $$2\ \mathrm{m/s}$$ and collides inelastically with a $$5\ \mathrm{kg}$$ object at rest. What is their final velocity?

Accepted Answer

$$1.33\ \mathrm{m/s}$$

Question 15

A $$0.1\ \mathrm{kg}$$ mass is attached to a string and whirled in a vertical circle of radius $$0.5\ \mathrm{m}. $$What is the minimum speed at the top of the circle to keep the string taut?

Accepted Answer

$$1.0\ \mathrm{m/s}$$

Question 16

A $$2\ \mathrm{kg}$$ object is rotating with an angular velocity of $$4\ \mathrm{rad/s}$$ and has a moment of inertia of $$0.5\ \mathrm{kg\cdot m^2$}. $$What is its rotational kinetic energy?

Accepted Answer

$$8\ \mathrm{J}$$

Question 17

A $$1\ \mathrm{kg}$$ mass is attached to a spring with $$k = 100\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.63\ \mathrm{s}$$

Question 18

A $$5\ \mathrm{kg}$$ object is moving in a circle of radius $$2\ \mathrm{m} at a $$speed of $$6\ \mathrm{m/s}. $$What is the magnitude of its angular momentum?

Accepted Answer

$$60\ \mathrm{kg\cdot m^2$/s}$$

Question 19

A $$0.5\ \mathrm{kg}$$ mass oscillates on a spring with amplitude $$0.2\ \mathrm{m}$$ and period $$1.0\ \mathrm{s}. $$What is the maximum speed of the mass?

Accepted Answer

$$1.26\ \mathrm{m/s}$$

Question 20

A $$2\ \mathrm{kg}$$ block is pushed up a $$30^\circ$$ incline with a force of $$20\ \mathrm{N}$$ parallel to the incline. The coefficient of kinetic friction is $$0.1. $$What is the acceleration of the block?

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

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