Gravitational force of attraction 𝐅 exists between two point masses, A and B, when they are sepa

Name: Problem 33, Chapter 5: Let's Review Regents: Physics—Physical Setting
Uploaded: 2022-01-16T07:31:11-08:00
Duration: 2 min 13 s
Channel: Rachel B.
Description: Gravitational force of attraction 𝐅 exists between two point masses, A and B, when they are separated by a fixed distance. After mass A is tripled and mass B is halved, the gravitational attraction between the two masses is (A) 1 / 6 F (B) 2 / 3 𝐅 (C) 3 / 2 𝐅 (D) 6 𝐅

step 1 We have two point masses here with the mass that just call it as M sub A and M sub B. And when t

Question

Gravitational force of attraction $\mathbf{F}$ exists between two point masses, $A$ and $B$, when they are separated by a fixed distance. After mass $A$ is tripled and mass $B$ is halved, the gravitational attraction between the two masses is (A) $1 / 6 \mathrm{~F}$ (B) $2 / 3 \mathbf{F}$ (C) $3 / 2 \mathbf{F}$ (D) $6 \mathbf{F}$

   Gravitational force of attraction $\mathbf{F}$ exists between two point masses, $A$ and $B$, when they are separated by a fixed distance. After mass $A$ is tripled and mass $B$ is halved, the gravitational attraction between the two masses is
(A) $1 / 6 \mathrm{~F}$
(B) $2 / 3 \mathbf{F}$
(C) $3 / 2 \mathbf{F}$
(D) $6 \mathbf{F}$

Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar 1st Edition

Chapter 5, Problem 33

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Solved by Expert Rachel B.

01/16/2022

Step 1

Step 1: The gravitational force between two point masses is given by the formula: \[F = G \frac{m_A m_B}{r^2}\] where $F$ is the gravitational force, $G$ is the gravitational constant, $m_A$ and $m_B$ are the masses of the two objects, and $r$ is the Show more…

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Gravitational force of attraction $\mathbf{F}$ exists between two point masses, $A$ and $B$, when they are separated by a fixed distance. After mass $A$ is tripled and mass $B$ is halved, the gravitational attraction between the two masses is (A) $1 / 6 \mathrm{~F}$ (B) $2 / 3 \mathbf{F}$ (C) $3 / 2 \mathbf{F}$ (D) $6 \mathbf{F}$

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Key Concepts

Newton's Law of Universal Gravitation

This principle states that every two masses attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. It provides the fundamental framework for understanding how gravitational forces behave in response to changes in mass and distance.

Proportionality and Scaling in Gravitational Forces

Since the gravitational force depends directly on the product of the two masses, any changes to the masses directly affect the force by a corresponding scaling factor. When one mass is multiplied by a factor and the other is altered by a different factor, the resulting force is scaled by the product of these factors, demonstrating the principle of proportional change in the gravitational interaction.

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