The gravitational force between two masses m and m2 located a distance r apart has a magnitude of FG =Gmm2,where G = 6.674×10 N ⋅ m2/kg2; this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius a = 30 μm and mass density ρm = 2.2 × 103 kg/m3 are located a distance L apart.If they are released rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum number n that would prevent the masses from colliding. **4. The gravitational force between two masses \( m_1 \) and \( m_2 \) located a distance \( r \) apart has a magnitude of**\[F_G = G \frac{m_1 m_2}{r^2},\]**where \( G = 6.674 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \); this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius \( a = 30 \, \mu\text{m} \) and mass density \( \rho_m = 2.2 \times 10^3 \, \text{kg/m}^3 \) are located a distance \( L \) apart.**[Diagram: Two identical spheres with radius \( a \) separated by a distance \( L \).]**If they are released from rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitational force. Suppose each mass has an excess of \( n \) extra electrons that causes both to be negatively charged. Find the minimum number \( n \) that would prevent the masses from colliding.**

Solution:- 1) The gravitational force acring between two masses m1 and m2 , separated by a distance…

Answered: 4. The gravitational force between two…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Concept explainers

Question

The gravitational force between two masses m and m2 located a distance r apart has a magnitude of FG =Gmm2, where G = 6.674×10 N ⋅ m2/kg2; this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius a = 30 μm and mass density ρm = 2.2 × 103 kg/m3 are located a distance L apart. If they are released rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum number n that would prevent the masses from colliding.

**4. The gravitational force between two masses \( m_1 \) and \( m_2 \) located a distance \( r \) apart has a magnitude of**

\[
F_G = G \frac{m_1 m_2}{r^2},
\]

**where \( G = 6.674 \times 10^{-11} \, \text{N} \cdot \text{m}^2/\text{kg}^2 \); this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius \( a = 30 \, \mu\text{m} \) and mass density \( \rho_m = 2.2 \times 10^3 \, \text{kg/m}^3 \) are located a distance \( L \) apart.**

[Diagram: Two identical spheres with radius \( a \) separated by a distance \( L \).]

**If they are released from rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitational force. Suppose each mass has an excess of \( n \) extra electrons that causes both to be negatively charged. Find the minimum number \( n \) that would prevent the masses from colliding.**

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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