What is the mass, in slugs, of an object that weighs 161 lb on Earth? Use the standard sea-level value of g = 32.2 ft/sec^2.

Correct answer: 5 slugs

Explanation

This is a quantitative problem applying the weight-mass relationship (W=mg) in the U.S. customary system to calculate mass in slugs.

Other questions

Question 1

Who is credited with the beginning of a rational understanding of dynamics through careful observations concerning bodies in free fall, motion on an inclined plane, and motion of the pendulum?

Question 2

Dynamics is composed of two distinct parts. One is kinematics, the study of motion without reference to the forces causing it. What is the other part?

Question 3

What is the name of the basic frame of reference for the laws of Newtonian mechanics, which is imagined as a set of rectangular axes with no translation or rotation in space?

Question 4

How is 'mass' defined in the context of dynamics?

Question 5

Under what condition can a physical body, like an airplane, be treated as a 'particle'?

Question 6

What does Newton's Second Law of Motion state about the acceleration of a particle?

Question 7

According to Newton's Second Law, what force is required to give a 5 kg mass an acceleration of 2 m/s^2?

Question 8

In the U.S. customary system of units, force, length, and time are base units. Which quantity has a derived unit?

Question 10

Why is the U.S. customary system of units termed a 'gravitational system'?

Question 11

Newton's law of gravitation is given by the equation F = G*(m1*m2)/r^2. What does the term 'G' represent?

Question 12

An object has a mass of 1 kg. On the surface of the earth (radius R), it has a weight W. What would its weight be at an altitude of 2R above the surface of the earth?

Question 13

What is the internationally adopted standard value for the gravitational acceleration (g) relative to the rotating earth at sea level and at a latitude of 45 degrees?

Question 14

The true weight of a body is calculated using its mass and the absolute acceleration due to gravity. The apparent weight measured by a scale on the Earth's surface is slightly different due to the Earth's rotation. The ratio of the apparent weight to the apparent acceleration due to gravity gives what value?

Question 15

An equation is given as Fx = (1/2)mv^2, where F is force, x is distance, m is mass, and v is velocity. What principle can be used to check if this equation is potentially correct?

Question 16

In solving dynamics problems, what is the primary advantage of a symbolic solution over a numerical solution?

Question 17

In the 'Method of Attack' for solving dynamics problems, what should be drawn to clearly define the system being analyzed and account for all external forces?

Question 18

What does Newton's First Law, the law of inertia, imply about a particle if the net force on it is zero?

Question 19

A payload module weighs 100 lb on the surface of the earth. What is its approximate mass in kilograms? Use the surface-level value of g = 9.80665 m/s^2 and the conversion 1 lb = 4.4482 N.

Question 20

A payload module with a surface weight of 100 lb is taken to an altitude of 200 miles. Given the Earth's mean radius is 3959 miles and the absolute g at the surface is 32.234 ft/sec^2, what is the acceleration of gravity (g) at this altitude?

Question 21

A module is inside a space shuttle in a circular orbit at an altitude of 200 miles. What is the weight of the module under these conditions?

Question 22

In what publication did Isaac Newton first state the laws governing the motion of a particle and formulate the law of universal gravitation?

Question 23

When can corrections for the Earth's motion be neglected in mechanics problems?

Question 24

What is the key difference between a 'dimension' and a 'unit'?

Question 25

What is the dimensional representation of velocity?

Question 26

The 1980 International Gravity Formula, g = 9.780327(1 + 0.005279sin^2(y) + ...), is based on what model of the Earth?

Question 27

If a body has a mass of 1 slug, what is its weight in pounds on a planet where the acceleration of gravity is 10 ft/sec^2?

Question 28

What is the primary purpose of studying engineering mechanics?

Question 29

Which statement accurately describes the relationship between the weight of a body and its mass?

Question 30

In the SI system, a force of 1 newton is defined as the force required to give a 1-kilogram mass what acceleration?

Question 31

What is the force of mutual gravitational attraction between two 1 kg spheres whose centers are 1 meter apart? Use G = 6.673 x 10^-11 m^3/(kg*s^2).

Question 32

If a particle's acceleration is directly proportional to the resultant force on it, what can be concluded about its mass?

Question 33

Which of these is NOT an application of dynamics mentioned in the textbook?

Question 34

If you weigh 180 lb on Earth, what is your mass in slugs? Use g = 32.2 ft/sec^2.

Question 35

At what altitude h above the Earth's surface would an object's weight be reduced to one-half of its earth-surface value? Express h in terms of the Earth's radius R.

Question 36

What is the primary reason for placing a stronger emphasis on the SI metric system in the textbook?

Question 37

If a physical relation is found to be dimensionally homogeneous, what can be concluded?

Question 38

What distinguishes the engineering of mechanics from the science of mechanics, according to the textbook's philosophy?

Question 39

If a particle is subjected to a resultant force F, Newton's second law can be stated as F = ma. In this equation, in what frame of reference must the acceleration 'a' be measured?

Question 40

A body has a weight of 445 N. What is its approximate weight in pounds? Use the conversion 1 lb = 4.4482 N.

Question 41

The variation of gravitational acceleration g with latitude y (in radians) and the Earth's rotation is given by the International Gravity Formula. Which of the following best describes this variation from the equator to the poles?

Question 42

For a particle of mass 'm' and velocity 'v', its kinetic energy is given by (1/2)mv^2. What are the dimensions of kinetic energy in terms of M, L, and T?

Question 43

The textbook describes a dual thought process necessary for formulating problems in dynamics. This involves thinking in terms of both:

Question 44

What is the weight in Newtons of a car with a mass of 1500 kg? Use the standard approximate value of g = 9.81 m/s^2.

Question 45

A particle of mass 'm' is subject to a resultant force 'F'. Newton's second law is also sometimes expressed as the resultant force being proportional to the time rate of change of what quantity?

Question 46

What is the primary reason that using the mass unit 'lbm' (pound-mass) is avoided in the textbook in favor of the 'slug'?

Question 47

The weight of a body is a force. In which units should it always be expressed in the SI and U.S. customary systems, respectively?

Question 48

The text mentions a notational shorthand where a dot over a symbol indicates a derivative with respect to what variable?

Question 49

What does a double dot over a symbol, such as x-double-dot, represent?

Question 50

A key step in the 'Method of Attack' for problem-solving is to ensure that your calculations are consistent with the accuracy justified by the data. If given data are generally taken to be exact, to how many significant figures are results generally displayed?