Chapter 6: Q. 35 (page 155)

A $75 k g$ skydiver can be modeled as a rectangular “box” with dimensions $20 c m * 40 c m * 180 c m .$ What is his terminal speed if he falls feet first? Use $0.8$ for the drag coefficient.

Short Answer

Expert verified

The terminal speed if he falls feet first is $136.72 m / s e c .$

Step by step solution

Given information.

$Mass(m)= 75 k g, dimensions of the box shaped body = 20 c m * 40 c m * 180 c m, drag coefficient(C)= 0.8 .$

Calculation

The formula for terminal velocity is given by:

$v = \sqrt{\frac{2 m g}{ρ a c}} .$

here,

$m =$ mass of the body

$g =$ gravitational acceleration

$ρ =$ density of air

$a$ = Projected area

c = Drag Constant

The density of air islocalid="1648476929997" $1.23 kg / m^{3} .$

Projected area :

$(a) = 20 * 40 . = 800 {cm}^{2} . = 0.08 m^{2} .$

Continuation of calculation

Putting the values we get,

$v = \sqrt{\frac{2 * (75 k g) * (9.81 m / s^{2})}{(1.23 k g / m^{3}) * (0.08 m^{2}) * (0.8)}} . v = \sqrt{18692.8354 m^{2} / s^{2}} . v = 136.72 m / \sec .$

Therefore, the terminal velocity is $136.72 m / s e c .$

Final answer

The terminal speed if he falls feet first is $136.72 m / s e c .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A $75 k g$ skydiver can be modeled as a rectangular “box” with dimensions $20 c m * 40 c m * 180 c m .$ What is his terminal speed if he falls feet first? Use $0.8$ for the drag coefficient.

Short Answer

Step by step solution

Given information.

Calculation

Continuation of calculation

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Famous Physicists

Thermodynamics

Translational Dynamics

Fields in Physics

Atoms and Radioactivity

Study anywhere. Anytime. Across all devices.

A 75kgskydiver can be modeled as a rectangular “box” with dimensions 20cm*40cm*180cm.What is his terminal speed if he falls feet first? Use 0.8for the drag coefficient.

Short Answer

Step by step solution

Given information.

Calculation

Continuation of calculation

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Famous Physicists

Thermodynamics

Translational Dynamics

Fields in Physics

Atoms and Radioactivity

Study anywhere. Anytime. Across all devices.

A $75 k g$ skydiver can be modeled as a rectangular “box” with dimensions $20 c m * 40 c m * 180 c m .$ What is his terminal speed if he falls feet first? Use $0.8$ for the drag coefficient.