(a) Calculate the magnitude of the gravitational force exerted by Mars on a 65 kg human standing on the surface of Mars. (The mass of Mars is 6.4x1023 kg and itsradius is 3.4x106 m.)240.0277✓ N(b) Calculate the magnitude of the gravitational force exerted by the human on Mars.240.0277N(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away.1.76e8XN(d) What approximations or simplifying assumptions must you make in these calculations? (Note: Some of these choices are false because they are wrong physics!)✔Treat Mars as though it were spherically symmetric.Ignore the effects of the Sun, which alters the gravitational force that one object exerts on another.✔Treat the humans as though they were points or uniform-density spheres.O Use the same gravitational constant in (a) and (b) despite its dependence on the size of the masses.Additional MaterialseBook

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(c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 2.5 meters away. 1.76e8 XN

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 37PQ: The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 ...

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a) Calculate the magnitude of the gravitational force exerted by the Moon on a 65 kg human standing on the surface of the Moon. (The mass of the Moon is 7.4x1022 kg and its radius is 1.7x106 m.) b) Calculate the magnitude of the gravitational force exerted by the human on the Moon. c) For comparison, calculate the approximate magnitude of the gravitational force of this human on a similar human who is standing 4.5 meters away.