I'm in need of help on my physics

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SUMMARY

The discussion focuses on calculating the net gravitational forces acting on three particles with masses mA = 363 kg, mB = 517 kg, and mC = 154 kg, as well as the gravitational force between a bowling ball and a billiard ball. Participants emphasize using Newton's Law of Universal Gravitation, represented by the equation F = G * (m1 * m2) / r^2, where G is the gravitational constant (6.67 x 10^-11 N(m/kg)^2). The importance of considering the distances between the particles and the correct application of the equation for multiple pairs is highlighted.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Basic knowledge of gravitational force calculations
  • Familiarity with the concept of point masses and uniform spheres
  • Ability to perform calculations involving mass and distance
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  • Calculate the net gravitational force on each particle using the formula F = G * (m1 * m2) / r^2
  • Explore the concept of gravitational force between two uniform spheres
  • Learn about the significance of distance in gravitational interactions
  • Investigate the effects of mass distribution on gravitational force calculations
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Students studying physics, educators teaching gravitational concepts, and anyone interested in understanding gravitational interactions between multiple bodies.

cmwestbr
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Could anyone help me with these problems? It's on Gravitational Force

The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 363 kg, mB = 517 kg, and mC = 154 kg. Find the magnitude and direction of the net gravitational force acting on each of the three particles (let the direction to the right be positive).
particle A N
particle B N
particle C N


A bowling ball (mass = 7.2 kg, radius = 0.10 m) and a billiard ball (mass = 0.32 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?
 
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cmwestbr said:
Could anyone help me with these problems? It's on Gravitational Force

The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 363 kg, mB = 517 kg, and mC = 154 kg. Find the magnitude and direction of the net gravitational force acting on each of the three particles (let the direction to the right be positive).
particle A N
particle B N
particle C N


A bowling ball (mass = 7.2 kg, radius = 0.10 m) and a billiard ball (mass = 0.32 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?
The fact that the 3 masses are far away from any other object imples that only the 3 masses are interacting with each other via the gravitational force. You can treat them as uniform spheres, which means that they are point particles located at the sphere's center with mass M. So, what is the equation that you are going to use ?

marlon
 
Start from the basic and use this for a system of two particles separated by distance r.

use... G*m1*m2/r^2

Now see that 3 particles can create 3 pairs.Be careful with the distance between a and c and the sign notation when moving from c to a and from b to a.
 
so what ima do is...6.67*10^-11(363kg)(517kg)/9.8^2...or is that not right?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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