Question 1

A 2 kg object is moving with a velocity of 3 m/s to the right. What is its momentum?

Accepted Answer

$$6\ \mathrm{kg\cdot m/s}$$

Question 2

A 0.5 kg ball is attached to a string and swung in a horizontal circle of radius 2 m at a constant speed. If the angular velocity is $$4\ \mathrm{rad/s}$$, what is the magnitude of its centripetal (tangential) acceleration?

Accepted Answer

$$32\ \mathrm{m/s^2$}$$

Question 3

A force of $$10\ \mathrm{N} is $$applied perpendicular to a wrench at a distance of $$0.3\ \mathrm{m}$$ from the bolt. What is the torque produced?

Accepted Answer

$$3\ \mathrm{N\cdot m}$$

Question 4

A $$0.2\ \mathrm{kg}$$ mass is attached to a spring with a spring constant $$k = 50\ \mathrm{N/m}. $$What is the angular frequency $$\omega of $$the mass-spring system?

Accepted Answer

$$15.8\ \mathrm{rad/s}$$

Question 5

A solid disk of mass $$2\ \mathrm{kg}$$ and radius $$0.5\ \mathrm{m}$$ rotates about its center. What is its moment of inertia?

Accepted Answer

$$0.25\ \mathrm{kg\cdot m^2$}$$

Question 6

A $$3\ \mathrm{kg}$$ object is dropped from a height of $$5\ \mathrm{m}. $$What is its gravitational potential energy relative to the ground before it is dropped? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$147\ \mathrm{J}$$

Question 7

A $$0.5\ \mathrm{kg}$$ mass oscillates on a spring with amplitude $$A = 0.1\ \mathrm{m}$$ and $$k = 20\ \mathrm{N/m}. $$What is the maximum velocity of the mass?

Accepted Answer

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

Question 8

A child sits on a seesaw $$2\ \mathrm{m}$$ from the pivot and weighs $$300\ \mathrm{N}. $$What torque does the child exert about the pivot?

Accepted Answer

$$600\ \mathrm{N\cdot m}$$

Question 9

A $$0.1\ \mathrm{kg}$$ mass is attached to a spring and oscillates with a period of $$0.628\ \mathrm{s}. $$What is the spring constant $$k$$?

Accepted Answer

$$10\ \mathrm{N/m}$$

Question 10

A $$0.5\ \mathrm{kg}$$ mass is moving in simple harmonic motion with amplitude $$0.2\ \mathrm{m}$$ and angular frequency $$\omega = 5\ \mathrm{rad/s}. $$What is the total mechanical energy of the system?

Accepted Answer

$$1.25\ \mathrm{J}$$

Question 11

A $$0.2\ \mathrm{kg}$$ mass is attached to a string and swung in a vertical circle of radius $$0.5\ \mathrm{m}. At $$the lowest point, its speed is $$4\ \mathrm{m/s}. $$What is its angular momentum about the center?

Accepted Answer

$$0.4\ \mathrm{kg\cdot m^2$/s}$$

Question 12

A force of $$5\ \mathrm{N}$$ acts on a $$2\ \mathrm{kg}$$ object for $$4\ \mathrm{s}. $$What is the impulse delivered to the object?

Accepted Answer

$$20\ \mathrm{N\cdot s}$$

Question 13

A $$1\ \mathrm{kg}$$ mass is attached to a spring and oscillates with a maximum displacement of $$0.1\ \mathrm{m}. If $$the spring constant is $$k = 100\ \mathrm{N/m}$$, what is the maximum acceleration?

Accepted Answer

$$10\ \mathrm{m/s^2$}$$

Question 14

A uniform rod of length $$2\ \mathrm{m}$$ and mass $$3\ \mathrm{kg}$$ rotates about one end. What is its moment of inertia?

Accepted Answer

$$4\ \mathrm{kg\cdot m^2$}$$

Question 15

A $$0.5\ \mathrm{kg}$$ mass is attached to a spring and oscillates with a frequency of $$2\ \mathrm{Hz}. $$What is the period of oscillation?

Accepted Answer

$$0.5\ \mathrm{s}$$

Question 16

A $$0.3\ \mathrm{kg}$$ mass is attached to a spring and oscillates with amplitude $$0.05\ \mathrm{m}$$ and $$k = 60\ \mathrm{N/m}. $$What is the maximum kinetic energy?

Accepted Answer

$$0.075\ \mathrm{J}$$

Question 17

A $$2\ \mathrm{kg}$$ object is moving in a circle of radius $$0.4\ \mathrm{m} at a $$speed of $$3\ \mathrm{m/s}. $$What is its angular velocity?

Accepted Answer

$$7.5\ \mathrm{rad/s}$$

Question 18

A $$0.4\ \mathrm{kg}$$ mass is attached to a spring with $$k = 80\ \mathrm{N/m}. $$What is the period of oscillation?

Accepted Answer

$$0.444\ \mathrm{s}$$

Question 19

A $$0.5\ \mathrm{kg}$$ mass is attached to a spring and oscillates with amplitude $$0.1\ \mathrm{m}. If $$the total mechanical energy is $$0.25\ \mathrm{J}$$, what is the spring constant $$k$$?

Accepted Answer

$$50\ \mathrm{N/m}$$

Question 20

A $$1\ \mathrm{kg}$$ mass is moving in a circle of radius $$0.2\ \mathrm{m}$$ with an angular velocity of $$10\ \mathrm{rad/s}. $$What is its centripetal acceleration?

Accepted Answer

$$20\ \mathrm{m/s^2$}$$

Rotational Motion, Dynamics, and Periodic Motion: Mini-Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards