Q: Which equation correctly represents the work-energy principle for a particle?

$$T_1 + U$$_{1 \to 2} = $$T_2$$

Question 1

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

Accepted Answer

$$100\ \mathrm{m}$$

Question 2

Which of the following best describes the difference between kinematics and kinetics?

Accepted Answer

Kinematics deals with the motion of objects without considering forces, while kinetics considers the forces causing the motion.

Question 3

A $$2\ \mathrm{kg}$$ object moves with a velocity of $$3\ \mathrm{m/s}. $$What is its kinetic energy?

Accepted Answer

$$6\ \mathrm{J}$$

Question 4

A ball is dropped from a height of $$20\ \mathrm{m}. $$Neglecting air resistance, what is its velocity just before hitting the ground? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 5

A force of $$10\ \mathrm{N}$$ acts on a $$5\ \mathrm{kg}$$ object for $$4\ \mathrm{s}. $$What is the change in momentum of the object?

Accepted Answer

$$40\ \mathrm{kg\cdot m/s}$$

Question 6

Which equation correctly represents the work-energy principle for a particle?

Accepted Answer

$$T_1 + U$$_{1 	o 2} = $$T_2$$

Question 7

A rigid body rotates with an angular acceleration of $$2\ \mathrm{$$rad/s^2$$}$$ from rest. What is its angular velocity after $$3\ \mathrm{s}$$?

Accepted Answer

$$6\ \mathrm{rad/s}$$

Question 8

A $$10\ \mathrm{kg}$$ block slides down a frictionless incline of $$5\ \mathrm{m}$$ height. What is its speed at the bottom? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

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

Question 9

Which of the following is the correct expression for the impulse-momentum theorem?

Accepted Answer

$$\sum F \Delta t = m(v_2$ - v_1$)$$

Question 10

A $$2\ \mathrm{kg}$$ mass attached to a spring oscillates with a period of $$0.5\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$316\ \mathrm{N/m}$$

Question 11

A rigid body is subjected to a net torque of $$15\ \mathrm{N\cdot m}$$, causing an angular acceleration of $$3\ \mathrm{$$rad/s^2$$}. $$What is the moment of inertia?

Accepted Answer

$$5\ \mathrm{kg\cdot m^2$}$$

Question 12

A $$3\ \mathrm{kg}$$ object moving at $$4\ \mathrm{m/s}$$ collides elastically with a stationary $$2\ \mathrm{kg}$$ object. What is the velocity of the $$3\ \mathrm{kg}$$ object after the collision?

Accepted Answer

$$0.4\ \mathrm{m/s}$$

Question 13

Which of the following best describes planar kinetics of a rigid body?

Accepted Answer

It analyzes the forces and moments acting on a rigid body moving in a plane.

Question 14

A $$5\ \mathrm{kg}$$ mass is attached to a string and swung in a horizontal circle of radius $$2\ \mathrm{m} at a $$speed of $$4\ \mathrm{m/s}. $$What is the tension in the string?

Accepted Answer

$$40\ \mathrm{N}$$

Question 15

A block of mass $$m$$ slides on a rough surface with coefficient of kinetic friction $$\mu_k. $$What is the work done by friction after the block moves a distance $$d$$?

Accepted Answer

$$-\mu_k m g d$$

Question 16

A particle moves under a central force $$F = -kr$$, where $$k is a $$positive constant. What type of motion does the particle exhibit?

Accepted Answer

Simple harmonic motion

Question 17

A $$1\ \mathrm{kg}$$ mass attached to a spring oscillates with amplitude $$0.1\ \mathrm{m}$$ and angular frequency $$\omega = 5\ \mathrm{rad/s}. $$What is the maximum kinetic energy?

Accepted Answer

$$1.25\ \mathrm{J}$$

Question 18

A rigid body rotates with a constant angular velocity $$\omega. $$Which of the following statements is true?

Accepted Answer

The angular acceleration is zero.

Question 19

A $$2\ \mathrm{kg}$$ object is moving at $$5\ \mathrm{m/s}$$ and collides inelastically with a $$3\ \mathrm{kg}$$ object at rest. What is the final velocity of the combined mass?

Accepted Answer

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

Question 20

A mass-spring system is described by $$x(t) = 0.2 \cos(4t)$$, where $$x is in $$meters and $$t in $$seconds. What is the period of oscillation?

Accepted Answer

$$\dfrac{\pi}{2}\ \mathrm{s}$$

Physics Syllabus Overview: Kinematics, Kinetics, Work, Energy, and Vibration

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