Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
bartleby

Concept explainers

Question
Book Icon
Chapter 15, Problem 58Q

(a)

To determine

The mass of Dactyl in kilogram if the density of Dactyl is 2500kg/m3 and the diameter of Dactyl is 1.4km.

(a)

Expert Solution
Check Mark

Answer to Problem 58Q

Solution:

3.59×1012kg.

Explanation of Solution

Given data:

The density of Dactyl is 2500kg/m3 and the diameter of Dactyl is 1.4km.

Formula used:

Write the expression for the mass of Dactyl.

m=ρV

Here, the mass of Dactyl is m, the density of Dactyl is ρ and the volume of Dactyl is V.

Explanation:

Calculate the volume of Dactyl.

V=43πr3

Here, the radius of Dactyl is r.

Substitute 1.42km for r.

V=43π(1.4km2)3=1.436km3

Write the expression for the mass of Dactyl.

m=ρV

Substitute 1.436km3 for V and 2500kg/m3 for ρ.

m=(2500kg/m3)(1.436km3)=(2500kg/m3)(1.436km3)(109m31km3)=3.59×1012kg

Conclusion:

Hence, the mass of Dactyl is 3.59×1012kg.

(b)

To determine

The escape velocity from the surface of Dactyl if the density of Dactyl is 2500kg/m3 and the diameter of Dactyl is 1.4km.

(b)

Expert Solution
Check Mark

Answer to Problem 58Q

Solution:

0.82m/s.

Explanation of Solution

Given data:

The density of Dactyl is 2500kg/m3 and the diameter of Dactyl is 1.4km.

Formula used:

Write the expression for the escape velocity at the surface of Dactyl.

v=2Gmr

Here, the escape velocity is v and the gravitational constant is G.

Explanation:

From part (a), the mass of Dactyl is 3.59×1012kg and radius is 0.7 km.

Write the expression for the escape velocity at the surface of Dactyl.

v=2Gmr

Substitute 6.67×1011m3kg1s1 for G, 3.59×1012kg for m and 0.7km for r.

v=2(6.67×1011m3kg1s1)(3.59×1012kg)(0.7km)=2(6.67×1011m3kg1s1)(3.59×1012kg)(0.7km)(100m1km)=0.82m/s

Conclusion:

Hence, the escape velocity at the surface of Dactyl is 0.82m/s.

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!
Students have asked these similar questions
a 500-n block is dragged along a horizontal surface by an applied force t at an angle of 30.0° (see figure). the coefficient of kinetic friction is uk = 0.400 and the block moves at a constant velocity. what is the magnitude of the applied force T in newtons?
a 500-n block is dragged along a horizontal surface by an applied force t at an angle of 30.0° (see figure). the coefficient of kinetic friction is uk = 0.400 and the block moves at a constant velocity. what is the magnitude of the applied force T in newtons?
Block A, with a mass of 10 kg, rests on a 30° incline. The coefficient of kinetic friction is 0.20. The attached string is parallel to the incline and passes over a massless, frictionless pulley at the top. Block B, with a mass of 15.0 kg. is attached to the dangling end of the string. What is the acceleration of Block B in m/s?  show all steps please
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Text book image
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning