In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in elevation, to reach the dashed finish line. Rank the routes according to (a) the speed of the block at the finish line and (b) the travel time of the block to the finish line, greatest first. Figure 8-18 Question 1.

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Answer 1

Textbook Question

Chapter 8, Problem 1Q

In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in elevation, to reach the dashed finish line. Rank the routes according to (a) the speed of the block at the finish line and (b) the travel time of the block to the finish line, greatest first.

Chapter 8, Problem 1Q, In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in

Figure 8-18 Question 1.

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

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Answer 2

Textbook Question

Chapter 8, Problem 1Q

In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in elevation, to reach the dashed finish line. Rank the routes according to (a) the speed of the block at the finish line and (b) the travel time of the block to the finish line, greatest first.

Chapter 8, Problem 1Q, In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in

Figure 8-18 Question 1.

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

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

Answer 3

Textbook Question

Chapter 8, Problem 1Q

In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in elevation, to reach the dashed finish line. Rank the routes according to (a) the speed of the block at the finish line and (b) the travel time of the block to the finish line, greatest first.

Chapter 8, Problem 1Q, In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in

Figure 8-18 Question 1.

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

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 8, Problem 1Q

In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in elevation, to reach the dashed finish line. Rank the routes according to (a) the speed of the block at the finish line and (b) the travel time of the block to the finish line, greatest first.

Chapter 8, Problem 1Q, In Fig. 8-18, a horizontally moving block can take three frictionless routes, differing only in

Figure 8-18 Question 1.

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

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

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

Answer 8

Expert Solution & Answer

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To find:

a) The ranking of routes according to the speed of the block at the finish line.

b) The ranking of routes according to the travel time of the block to the finish line, greatest first.

Answer 12

Answer to Problem 1Q

Solution:

a) The rank of routes according to the speed of the block at the finish line is 3,2,1.

b) The rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Answer 13

Explanation of Solution

1) Concept:

We can rank the routes according to the speed of the block at the finish line by comparing the kinetic energy of the object along them. And from this rank, according to the definition of velocity, we can rank the routes according to travel time of the block to the finish line.

2) Formula:

i)

K.E.=12Mv2

ii)

Velocity, v=DT

3) Given:

i) A block moving horizontally along three frictionless routes.

4) Calculation:

a) For the object along the first route, it moves upward which is against the gravity, so gravity does work in the opposite direction on the object which reduces its kinetic energy. We know that

k.E=12Mv2

Therefore, its speed slows down.

Along the second route, the block moves without change in its speed.

For the block along the third route, it moves in the direction of gravity. So, gravity does work in the same direction on the object which reduces its kinetic energy.

Therefore, its speed increases.

Therefore, the ranking of routes according to the speed of the block at the finish line is 3,2,1.

b) We have,

v=DT

Therank of routes according to the speed of the block at the finish line is 3,2,1 and distance to travel is the same along all three routes.

As speed is less, the time taken to travel a certain distance is more.

Therefore, the rank of routes according to travel time of the block to the finish line, greatest first, is 1,2,3.

Conclusion:

We can rank the routes according to the speed and travelling time of an object by comparing kinetic energy of the object along them.