Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually, these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (ME = 5.97 ✕ 1024 kg, RE = 6380 km)? Say your mass is 68 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (MJ = 1.90 ✕ 1027 kg, RJE = 5.88 ✕ 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth?

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 38PQ
icon
Related questions
icon
Concept explainers
Question
Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually, these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth.
Can this ever happen? Let's look at the numbers.
What is the gravitational force (in N) of the Earth on you (ME = 5.97 ✕ 1024 kg, RE = 6380 km)? Say your mass is 68 kg. (Enter the magnitude.)
What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (MJ = 1.90 ✕ 1027 kg, RJE = 5.88 ✕ 108 km)? (Enter the magnitude.)
By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth?
Part 1 of 5
The gravitational force between two masses is given by
Fg = 
−GMm
r2
 
where G = 6.67 ✕ 10−11 m3/s2/kg.
 
We can use this expression to determine the magnitude of the gravitational force you feel while on the surface of the Earth.
FgE
=
(6.67 ✕ 10−11 m3/s2/kg)(ME)(68 kg)
(RE)2
FgE=............??
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Gravitational Force
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
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning