Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Q56P (page 170)

Assume that your proportions are the same as those in Table 7–1, and calculate the mass of one of your legs.

Short Answer

Expert verified

The mass of one of your legs is \(10.89\;{\rm{kg}}\).

Step by step solution

01

Given data

There is some fraction of mass in the legs in your body. To find the mass of one of your legs, first, find the total mass of the legs using the percent mass of the upper and lower legs.

The percentage of mass in the upper legs is \(21.5\% \).

The percentage of mass in the lower legs \(9.6\% \).

Assume that a normal person has a body mass of 70 kg.

02

Calculation of the center of mass

Now, the total mass of the legs is:

\(\begin{array}{c}M = \left( {21.5\% + 9.6\% } \right)\;{\rm{of}}\;70\;kg\\ = \;31.1\% \;{\rm{of}}\;70\;kg\\ = 21.77\;{\rm{kg}}\end{array}\)

Therefore, the mass of one leg is:

\(\begin{array}{c}m = \frac{M}{2}\\ = \frac{{21.77\;{\rm{kg}}}}{2}\\ = 10.89\;{\rm{kg}}\end{array}\)

Hence, the mass of one of your legs is \(10.89\;{\rm{kg}}\).

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The center of the smaller circle is a distance 0.80R from the center C of the larger circle, Fig. 7–41. What is the position of the center of mass of the plate? [Hint: Try subtraction.]

FIGURE 7-41

Problem 55.

Two astronauts, one of mass 55 kg and the other 85 kg, are initially at rest together in outer space. They then push each other apart. How far apart are they when the lighter astronaut has moved 12 m?

It is said that in ancient times a rich man with a bag of gold coins was stranded on the surface of a frozen lake. Because the ice was frictionless, he could not push himself to shore and froze to death. What could he have done to save himself had he not been so miserly?

A neon atom \(\left( {m = 20.0\;{\rm{u}}} \right)\) makes a perfectly elastic collision with another atom at rest. After the impact, the neon atom travels away at a 55.6° angle from its original direction and the unknown atom travels away at a \( - {50.0^ \circ }\) angle. What is the mass (in u) of the unknown atom? [Hint: You could use the law of sines.]

(I) The distance between a carbon atom \(\left( {{\bf{m = 12}}\;{\bf{u}}} \right)\) and an oxygen atom \(\left( {{\bf{m = 16}}\;{\bf{u}}} \right)\) in the CO molecule is \({\bf{1}}{\bf{.13 \times 1}}{{\bf{0}}^{{\bf{10}}}}\;{\bf{m}}\) How far from the carbon atom is the center of mass of the molecule?
See all solutions

Recommended explanations on Physics Textbooks

Oscillations

Read Explanation

Circular Motion and Gravitation

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Electromagnetism

Read Explanation

Translational Dynamics

Read Explanation

Space Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free