Explanation Given information: The travelling speed of the celestial body ( v ) is 1.2 × 10 6 mi / h . Radius of circle ( r 1 ) is 60 light years. The mass of the sun is 330000 times the mass of the earth. Light year is the distance travelled by light in one year which is the speed of light ( s ) is 186 , 300 mi / s . Take the radius of the earth ( R ) is 3960 mi . The acceleration due to gravity ( g ) is 32.2 ft / s 2 . Calculation: Convert the unit of radius of earth from miles to feet: R E = R mi × ( 5280 ft ) Here, R mi is the radius of the earth in kilometer. Substitute 3960 km for R mi . R E = 3960 × ( 5280 ft ) = 20.9088 × 10 6 ft Convert the unit of velocity ( v ) from mi / h to ft / s using the relation: v = v mi / h × 5280 ( ft mi ) 3600 ( sec hr ) Here, v mi / h is the velocity in mi / h . Substitute 1.2 × 10 6 mi / h for v mi / h . v = 1.2 × 10 6 × 5280 3600 = 1.76 × 10 6 ft / s Calculate the radius from center of earth to point B ( r ) using the relation: r = r 1 × s Substitute 60 years for r 1 and 186 , 300 mi / s for s . r = 60 × 186 , 300 = 11 , 178 , 000 mi ⋅ yr / sec × ( 5 , 280 ft mi ) × ( 365 days yr ) × ( 24 hr day ) × ( 3 , 600 sec hr ) = 1.86125 × 10 18 ft Apply Newton’s second law. Write the expression for calculating the normal acceleration a n as follows: a n = v 2 r Write the expression for calculating the force ( F ) as follows: F = G M B m r 2 Here, G is the universal gravitational constant and M B is mass of the earth. Calculate the mass at point B by considering the forces using the relation: F = m a n Substitute G M B m r 2 for F and v 2 r for a n . G M B m r 2 = m v 2 r G M B r = v 2 M B = v 2 r G (1) Calculate the product of gravitational constant and mass of earth ( G M e a r t h ) using the relation: G M e a r t h = g R e a r t h 2 Here, G is the universal gravitational constant and M e a r t h is mass of the earth

11th Edition

ISBN: 9781259633133

Author: BEER

Publisher: MCG

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 13.2, Problem 13.91P

To determine

Find the ratio (MB/MS) of mass at B to the mass of the sun.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.2, Problem 13.90P

Chapter 13.2, Problem 13.92P

Students have asked these similar questions

Channel AB is fixed in space, and its centerline lies in the xy plane. The plane containing edges AC and AD of the channel is parallel to the xz plane. The surfaces of the channel are frictionless and the sphere E has 1.9 kg mass. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. N N E 30° x F 20° B ᎠᏓ C 30°/A 30° Determine the force supported by cord EF, and the reactions RC and RD between the sphere and sides C and D, respectively, of the channel. (Round the final answers to four decimal places.) The force supported by cord EF is The reactions RC and Rp between the sphere and sides Cand D. respectively, of the channel are as follows: RC= RD= z N. 4

A spaceship travels to a distant star at relativistic speed. As measured by the crew of the ship, the trip takes 1.8 years and covers a distance of 1.5 light years. Which of the following statements about the duration of the trip is correct? The proper time is longer than 1.8 years. The proper time is shorter than 1.8 years. The proper time equals 1.8 years.

M XCM M A binary system is shown by the image above. It consists of two stars of equal mass. These stars revolve in a circular orbit about thgeir center of mass, which is midway between them. If the orbital speed of each star is 2,280 km/s and the orbital period of each is 11.7 days. Find the mass M of each star.

Chapter 13 Solutions

VECTOR MECH...,STAT.+DYNA.(LL)-W/ACCESS

Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - Prob. 13.2P Ch. 13.1 - Prob. 13.3P Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5P Ch. 13.1 - 13.6 In an ore-mixing operation, a bucket full of...Ch. 13.1 - Prob. 13.7P Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - Prob. 13.9P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the ratio ( M B / M S ) of mass at B to the mass of the sun.

Solution Summary: The author calculates the ratio of mass at B to the mass of the sun using the relation of velocity.

Concept explainers

Videos

Find the ratio (MB/MS) of mass at B to the mass of the sun.

Want to see the full answer?

Chapter 13 Solutions