COLLEGE PHYSICS,VOLUME 1
COLLEGE PHYSICS,VOLUME 1
2nd Edition
ISBN: 9781319115104
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 55QAP
To determine

(a)

The terminal velocity of the person with parachute.

Expert Solution
Check Mark

Answer to Problem 55QAP

The terminal velocity of the person with parachute is 6.17ms-1

Explanation of Solution

Given:

Mass of the person

- 70.0kg

Proportionality constant value

- 12.0 ms1

Formula used:

Newton's second law - F=ma ( Used considering the vertical axis)

  Fdrag on person +(Wperson)=0

  Fdrag=cv2

Calculation:

  Fdrag on person +(W person)=0For terminal velocitycv2terminal(mg)=0

To increase the velocity to 20.0 ms1.

  Fdrag on person +(W person)=0For terminal velocityFdrag on person +(mg)=0cv2terminal+(( 50.0kg)( 9.80  ms 2 ))=0cv2terminal=686 kgms2v2terminal=686  kgms 2cvterminal= 686  kgms 2 c  kgm 1 vterminal=1c(26.192)ms1vterminal=1 18(26.192)ms1=6.17ms-1

Conclusion:

Thus, the terminal velocity of the person with parachute is vterminal=6.17ms-1

To determine

(b)

The value of the proportionality constant c when the terminal velocity is 50.0 ms1.

Expert Solution
Check Mark

Answer to Problem 55QAP

The value of the proportionality constant c when the terminal velocity is 50.0 ms1 is 0.2744 kgms1

Explanation of Solution

Given:

Mass of the person

- 70.0kg

Terminal velocity

- 50.0 ms1

Formula used:

Newton's second law - F=ma ( Used considering the vertical force components)

  Fdrag on person +(Wperson)=0

  Fdrag=cv2

Calculation:

  Fdrag on person +(W person)=0For terminal velocitycv2terminalmg=0

  c( ( 50  ms 1 )2)+(( 70.0kg)( 9.80  ms 2 ))=0c=686  kgms 22500  m2s 2c=0.2744 kgms1

Conclusion:

Thus, the value of the proportionality constant c when the terminal velocity is 50.0 m/s is 0.2744 kgms1

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Chapter 5 Solutions

COLLEGE PHYSICS,VOLUME 1

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