A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s. a. What is the length of the arrow that Clarisse draws? b. Francois’s arrow is half as long as Clarisse’s. What is Francois’s scale? c. Is one student’s choice better than the other? If so, what makes it a better scale?

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 3, Problem 1PQ

A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s.

a. What is the length of the arrow that Clarisse draws?

b. Francois’s arrow is half as long as Clarisse’s. What is Francois’s scale?

c. Is one student’s choice better than the other? If so, what makes it a better scale?

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

In a scene from The Avengers (the first one) Black Widow is boosted directly upwards by Captain America, where she then grabs on to a Chitauri speeder that is 15.0 feet above her and hangs on. She is in the air for 1.04 s. A) With what initial velocity was Black Widow launched? 1 m = 3.28 ft B) What was Black Widow’s velocity just before she grabbed the speeder? Assume upwards is the positive direction.

In Dark Souls 3 you can kill the Ancient Wyvern by dropping on its head from above it. Let’s say you jump off the ledge with an initial velocity of 3.86 mph and spend 1.72 s in the air before hitting the wyvern’s head. Assume the gravity is the same as that of Earth and upwards is the positive direction. Also, 1 mile = 1609 m. A) How high up is the the ledge you jumped from as measured from the wyvern’s head? B) What is your velocity when you hit the wyvern?

A) If Yoshi flings himself downwards at 9.76 miles per hour to hit an enemy 10.5 m below him, how fast is Yoshi traveling when he hits the enemy? 1 mile = 1609 m

Answer 2

Textbook Question

Chapter 3, Problem 1PQ

A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s.

a. What is the length of the arrow that Clarisse draws?

b. Francois’s arrow is half as long as Clarisse’s. What is Francois’s scale?

c. Is one student’s choice better than the other? If so, what makes it a better scale?

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 3, Problem 1PQ

A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s.

a. What is the length of the arrow that Clarisse draws?

b. Francois’s arrow is half as long as Clarisse’s. What is Francois’s scale?

c. Is one student’s choice better than the other? If so, what makes it a better scale?

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 3, Problem 1PQ

A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector. Clarisse chooses a scale such that 1 cm → 100 m/s.

a. What is the length of the arrow that Clarisse draws?

b. Francois’s arrow is half as long as Clarisse’s. What is Francois’s scale?

c. Is one student’s choice better than the other? If so, what makes it a better scale?

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Answer 8

(a)

Expert Solution

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

The length of the arrow drawn to represent velocity vector using Clarisse’s scale.

Answer 13

Answer to Problem 1PQ

The length of the arrow is 7.20 cm.

Answer 14

Explanation of Solution

The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1.

When drawing an arrow to represent a vector, the length of the arrow is given by the magnitude of the vector. Thus, the length of the arrow should be 720 ms−1.

Represent the length in Clarisse’s scale

720 ms−1→720 ms−1⋅1 cm100 ms−1→7.20 cm

Conclusion:

Thus, the length of the arrow is 7.20 cm.

Answer 15

(b)

Expert Solution

To determine

The scaling chosen by Francois’s scale.

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

The scaling chosen by Francois’s scale.

Answer 20

Answer to Problem 1PQ

In Francois’s scale, 1 cm→200 ms−1.

Answer 21

Explanation of Solution

The length of Francois’s arrow is half of the length of Clarisse’s scale i.e. 7.20 cm2=3.60 cm. This length represents the magnitude of the vector i.e. 3.60 cm→720 ms−1.

Divide on both sides by 3.60

1 cm→720 ms−13.60→200 ms−1

Thus, in Francois’s scale, 1 cm→200 ms−1.

Answer 22

(c)

Expert Solution

To determine

Explain whether one scale choice is better than the other.

Answer to Problem 1PQ

No, either of the scales can be used.

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

Explain whether one scale choice is better than the other.

Answer 27

Answer to Problem 1PQ

No, either of the scales can be used.

Answer 28

Explanation of Solution

Scaling is an individual’s preference and it doesn’t change the given values. As long as the scales accommodate the range of given values any scale can be used. The above given scales can be drawn to fit on a page and hence both of them are good choices.

Conclusion:

No, either of the scales can be used.