GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
The gravitational force between two objects, F, is given by the formul
[#permalink]
28 Jul 2021, 02:55
28 Jul 2021, 02:55
Expert Reply
00:00
Question Stats:
38% (02:08) correct
61% (02:16) wrong based on 13 sessions
Hide Show timer Statistics
The gravitational force between two objects, F, is given by the formula \(F=G\frac{m×n}{r^2}\),where G is a constant, m and n are the masses of the two objects, and r is the distance between the two objects. The gravitational force between Asteroid A and Asteroid B is equal to 9, and the gravitational force between Asteroid A and Asteroid C is 6. If the distance between Asteroid A and Asteroid B is twice the distance between Asteroid A and Asteroid C, by what percent does the mass of Asteroid B exceed the mass of Asteroid C?
A. 50%
B. 200%
C. 300%
D. 500%
E. 600%
A. 50%
B. 200%
C. 300%
D. 500%
E. 600%
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: The gravitational force between two objects, F, is given by the formul
[#permalink]
28 Jul 2021, 21:32
28 Jul 2021, 21:32
GeminiHeat wrote:
The gravitational force between two objects, F, is given by the formula \(F=G\frac{m×n}{r^2}\),where G is a constant, m and n are the masses of the two objects, and r is the distance between the two objects. The gravitational force between Asteroid A and Asteroid B is equal to 9, and the gravitational force between Asteroid A and Asteroid C is 6. If the distance between Asteroid A and Asteroid B is twice the distance between Asteroid A and Asteroid C, by what percent does the mass of Asteroid B exceed the mass of Asteroid C?
A. 50%
B. 200%
C. 300%
D. 500%
E. 600%
A. 50%
B. 200%
C. 300%
D. 500%
E. 600%
\(F_{AB} = 9\)
\(F_{AC} = 6\)
\(r_{AB} = 2r_{AC}\)
Let B and C be the masses of asteroids B and C resp.
\(\frac{F_{AB}}{F_{AC}} = (\frac{B}{r_{AB}^2})(\frac{r_{AC}^2}{C})\)
\(\frac{9}{6} = (\frac{B}{4r_{AC}^2})(\frac{r_{AC}^2}{C})\)
\(\frac{3}{2} = (\frac{B}{4})(\frac{1}{C})\)
\(6 = \frac{B}{C}\)
\(B = 6C\)
Percent change = \(\frac{B - C}{C} (100) = \frac{6C - C}{C} (100) = 500\)%
Hence, option D
gmatclubot
Re: The gravitational force between two objects, F, is given by the formul [#permalink]
28 Jul 2021, 21:32
Moderators:
