The quantity that is proportional to force in Newton’s Universal law of gravitation.
Answer to Problem 1QP
Option (a) proportional to both masses.
Explanation of Solution
Write the formula for Newton’s Universal Law of Gravity
Here,
Therefore, according to Newton’s Universal law of gravitation, force is directly proportional to the masses and inversely proportional to the square of the distance between them.
Conclusion:
Force is proportional to both masses. Thus, option (A) is correct.
Force is not proportional to the radius. Thus, option (B) is incorrect.
Force is not proportional to the radius squared. Thus, option (C) is incorrect.
Force is not inversely proportional to the orbiting mass. Thus, option (D) is incorrect.
Want to see more full solutions like this?
Chapter 4 Solutions
21ST CENT AST EBK W/SW5&WKBK >BI<
- A synchronous satellite, which always remains above the same point on a planets equator, is put in orbit around Jupiter to study that planets famous red spot. Jupiter rotates once every 9.84 h. Use the data of Table 13.2 to find the altitude of the satellite above the surface of the planet.arrow_forwardA high tide is occurring at Charleston, South Carolina (33N, 84W). (a) What other longitude is also experiencing a high tide? (b) What two longitudes are experiencing low tides?arrow_forwardWhat is the difference between the force on a 1.0-kg mass on the near side of I0 has mean radius of 1821 km and a mean orbital radius about Jupiter of 421,700 km. (b) Compare this difference to that calculated for the difference for Earth due to the Moon calculated in Example 13.14. Tidal forces are the cause of I0 ’s volcanic activity.arrow_forward
- A low tide is occurring at Galveston, Texas (29N, 95W). (a) What other longitude is also experiencing a low tide? (b) What two longitudes are experiencing high tides?arrow_forwardTidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84106 m (1%)?arrow_forwardHow do Newton’s laws lead you to conclude that gravitation has to be universal?arrow_forward
- A mountain 10.0 km from a person exerts a gravitational force on him equal to 2.00 of his weight. (a) Calculate the mass of the mountain. (b) Compare the mountain’s mass with that of Earth. (c) What is unreasonable or inconsistent? (Note that accurate gravitational measurements can easily detect the effect of nearby mountains and variations in local geology.)arrow_forwardAstrology makes much of the position of the planets at the moment of one’s birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the gravitational force exerted on a 4.20-kg baby by a 100-kg father 0.200 m away at birth (he is assisting so he is close to the child). (b) Calculate the force on the baby due to jupiter if it is at its closest distance to Earth, some 6.291011m away. How does the force of Jupiter on the baby compare to the force of the father on the baby? Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)arrow_forwardIt is 6 a.m. on July 1 in London (51.5N, 0). What are the time and date in Cape Town, South Africa (34S, 18E)?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillStars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning