A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

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Answer 1

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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Race car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? Please answer parts a-B. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places. DONT FORGET TO DRAW VECTORS! ONLY USE BASIC FORMULAS TAUGHT IN PHYSICS. distance = speed * time.

Race car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? c) If the driver’s average rate of acceleration is -9.5 m/s2 as he slows down, how long does it take him to come to a stop (use information about his speed of 28.9 m/s but do NOT use his reaction and movement time in this computation)? Please answer parts a-c. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places unless stated otherwise.…

How is it that part a is connected to part b? I can't seem to solve either part and don't see the connection between the two.

Answer 2

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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01:25

Answer 3

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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01:25

Answer 4

Textbook Question

Chapter 3, Problem 3.1DQ

A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 8

Expert Solution & Answer

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The direction of acceleration of mass when it is at the end of swing and at midpoint.

Answer 12

Answer to Problem 3.1DQ

There is zero acceleration at end point while direction of tangential acceleration changes from zero.

Answer 13

Explanation of Solution

When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.

When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.

UNIVERSITY PHYSICS UCI PKG, Chapter 3, Problem 3.1DQ

Figure 1

Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.