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Chapter 3: Q2CQ (page 119)

Give a specific example of a vector, stating its magnitude, units, and direction.

Short Answer

Expert verified

Force F⇀ is a vector quantity with a magnitude of 50 N and directed along the positive x-direction.

Step by step solution

01

Vector

Quantities with both magnitude and direction are called vectors. A vector quantity could be displacement velocity, acceleration, or force.

02

Determine an example

We deal with force, which is a vector quantity, on a daily basis. It is impossible to characterize the force acting on a body without noting its direction. Suppose a block is being pushed by some external force F of magnitude 50 N along the positive x-direction is represented as:

Force acting on a block

Hence, force F⇀ is a vector quantity with a magnitude of 50 N and directed along the positive x-direction. Here, N (Newton) is the S.I. unit of force.

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Most popular questions from this chapter

What do vectors and scalars have in common? How do they differ?

A cloud of dirt falls from the bed of a moving truck. It strikes the ground directly below the end of the truck. What is the direction of its velocity relative to the truck just before it hits? Is this the same as the direction of its velocity relative to ground just before it hits? Explain your answers.

Give an example of a nonzero vector that has a component of zero.

(a) Repeat the problem two problems prior, but for the second leg you walk \(20.0{\rm{ m}}\) in a direction \(40.0^\circ \) north of east (which is equivalent to subtracting \({\rm{B}}\) from \({\rm{A}}\) —that is, to finding \({\rm{R'}} = {\rm{A}} - {\rm{B}}\)).

(b) Repeat the problem two problems prior, but now you first walk \(20.0{\rm{ m}}\) in a direction \(40.0^\circ \) south of west and then \(12.0{\rm{ m}}\) in a direction \(20.0^\circ \) east of south (which is equivalent to subtracting \({\rm{A}}\) from \({\rm{B}}\) —that is, to finding \({\rm{R''}} = {\rm{B}} - {\rm{A}} = - {\rm{R'}}\)). Show that this is the case.

Find the north and east components of the displacement from San Francisco to Sacramento shown in Figure 3.57.
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