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Chapter 4: Q3CQ (page 159)

How are inertia and mass related?

Short Answer

Expert verified

The object with more mass has more inertia. Inertia is directly proportional to the mass of the body.

Step by step solution

01

Introduction of inertia and mass

Inertia is the property of a body to remain in rest or to remain in motion with a constant velocity. The inertia of a body depends on its mass.

Mass is a measure of the quantity of matter present in something. The amount of matter depends on the number of molecules contained. It does not depend on the location and remains the same everywhere.

02

Relation between inertia and mass

The object with more mass has more inertia. Mass is dependent on the inertia of the body. A body with more mass will have more tendency to resist the change in its state of motion.

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Most popular questions from this chapter

A 1100-kg car pulls a boat on a trailer.

(a) What total force resists the motion of the car, boat, and trailer, if the car exerts a 1900-N force on the road and produces an acceleration of 0.550 m/s2? The mass of the boat plus trailer is 700 kg.

(b) What is the force in the hitch between the car and the trailer if 80% of the resisting forces are experienced by the boat and trailer?

When you take off in a jet aircraft, there is a sensation of being pushed back into the seat. Explain why you move backward in the seat—is there really a force backward on you? (The same reasoning explains whiplash injuries, in which the head is apparently thrown backward.)

What is the ratio of the strength of the strong nuclear force to that of the electromagnetic force? Based on this ratio, you might expect that the strong force dominates the nucleus, which is true for small nuclei. Large nuclei, however, have sizes greater than the range of the strong nuclear force. At these sizes, the electromagnetic force begins to affect nuclear stability. These facts will be used to explain nuclear fusion and fission later in this text.

(a) Find the magnitudes of the forces F1 and F2 that add to give the total force Ftot shown in Figure 4.35. This may be done either graphically or by using trigonometry.

(b) Show graphically that the same total force is obtained independent of the order of addition of F1and F2 .

(c) Find the direction and magnitude of some other pair of vectors that add to give Ftot . Draw these to scale on the same drawing used in part (b) or a similar picture.

Unreasonable Results

(a) Repeat Exercise 4.29, but assume an acceleration of 1.20 m/s2 is produced. (b) What is unreasonable about the result?

(c) Which premise is unreasonable, and why is it unreasonable?
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