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Chapter 1: Problem 10

Which of the following quantities is NOT a vector? A. Velocity B. Force C. Displacement D. Distance

Short Answer

Expert verified
Distance is NOT a vector.

Step by step solution

01

- Define Vectors

Understand what vectors are. Vectors are quantities that have both magnitude and direction. Examples include velocity, force, and displacement.
02

- Evaluate Each Option

Check each given quantity to see if it has both magnitude and direction.
03

- Velocity

Velocity is defined as speed in a specific direction. Since it has both magnitude (speed) and direction, it is a vector.
04

- Force

Force is a push or pull acting upon an object in a specific direction. Since it has both a magnitude (strength) and direction, it is a vector.
05

- Displacement

Displacement describes the change in position of an object and includes both the distance and direction from the starting to ending point. Therefore, it is a vector.
06

- Distance

Distance only represents how much ground an object has covered regardless of direction. It has only magnitude, not direction, hence it is not a vector.
07

- Identify Non-Vector Quantity

Based on the definitions and evaluations, identify the quantity among the given options that is not a vector.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Velocity
Velocity is a key concept in physics that describes how fast something is moving in a specific direction. It is different from speed, which only tells us how fast something is moving. For example, if a car is traveling east at 60 km/h, its velocity is 60 km/h east. This specific direction makes velocity a vector quantity.
Force
Force is another essential concept in physics. A force is any push or pull acting on an object, and it always happens in a specific direction. Types of forces include gravity, friction, and tension. For example, if you push a box to the right, you are applying a force to the right on that box. Because force includes both the magnitude of the push or pull and its direction, it is classified as a vector quantity.
Displacement
Displacement describes the change in position of an object. Unlike distance, displacement takes direction into account. For instance, if you walk 3 meters north and then 4 meters east, your displacement is a straight line from your starting point to your endpoint, not just the total number of meters walked. This straight-line measurement includes both distance and direction, making displacement a vector quantity.
Distance
Distance measures how much ground an object has covered, but it does not account for direction. For example, if you run around a track and cover 400 meters, your distance is 400 meters, regardless of your starting and ending points. This makes distance a scalar quantity, which has only magnitude and no direction.

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Most popular questions from this chapter

A man walks three blocks \((30 \mathrm{~m})\) east, and then another five blocks \((50 \mathrm{~m})\) north to the drugstore (point B). What is the magnitude of his final displacement from his original location (point \(A\) )? A. \(20 \mathrm{~m}\) B. \(40 \mathrm{~m}\) C. \(60 \mathrm{~m}\) D. \(3,400 \mathrm{~m}\)

A firefighter jumps horizontally from a burning building with an initial speed of \(1.5 \mathrm{~m} / \mathrm{s}\). At what time is the angle between his velocity and acceleration the greatest? A. The instant he jumps B. When he reaches terminal velocity C. Halfway through his fall D. Right before he hits the ground

A submarine sends out a sonar signal (sound wave) in a direction directly downward. It takes \(2.3 \mathrm{~s}\) for the sound wave to travel from the submarine to the ocean bottom and back to the submarine. How high up from the ocean floor is the submarine? (The speed of sound in water is \(1,489 \mathrm{~m} / \mathrm{s}\).) A. \(1,700 \mathrm{~m}\) B. \(3,000 \mathrm{~m}\) C. \(5,000 \mathrm{~m}\) D. Cannot be determined.

A car is traveling at \(40 \mathrm{~km} / \mathrm{hr}\) and the driver puts on the brakes, bringing the car to rest in a time of 6 seconds. What's the magnitude of the average acceleration of the car in units of \(\mathrm{km} / \mathrm{hr}^2\) ? A. \(240 \mathrm{~km} / \mathrm{hr}^2\) B. \(12,000 \mathrm{~km} / \mathrm{hr}^2\) C. \(24,000 \mathrm{~km} / \mathrm{hr}^2\) D. \(30,000 \mathrm{~km} / \mathrm{hr}^2\)

At a place where \(\mathrm{g}\) is \(9.8 \mathrm{~m} / \mathrm{s}^2\), an object is thrown vertically downward with a speed of \(10 \mathrm{~m} / \mathrm{s}\) while a different object is thrown vertically upward with a speed of \(20 \mathrm{~m} / \mathrm{s}\). Which object undergoes a greater change in speed in a time of 2 seconds? A. The first object, because the speed vector points in the same direction as the acceleration due to gravity B. The second object, because it has a higher velocity C. Both objects undergo the same change in speed. D. Cannot be determined from the information given.
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