What is the Resultant Gravitational Force on the 8 kg Mass?

[dablondeemu]

1Three masses are arranged in the (x, y)
plane as shown.

7kg at (-3,1)
8kg at (0,0)
9kg at (1,2)

What is the magnitude of the result-
ing force on the 8 kg mass at the ori-
gin? The universal gravitational constant is
6.6726 × 10^−11 N · m^2/kg^2 . Answer in units
of N.



part 2; Select the figure showing the direction of the
resultant force on the 8 kg mass at the origin. all the mutliple choice aswers show a ray rotating a different amount around the origin



please help, i was sick and missed 2 days of physics and don't understand even wath the question is askeing
if you could even expain it to me it would be wonderful
thanks!

 

[Rake-MC]

You can calculate the distances from each mass to the 8kg mass by using Pythagoras' theorem.

Force on masses due to gravity is dependent upon each mass as well as radius.

This is the formula: $$F = \frac{GMm}{r^2}$$

Use the principle of linear superposition to determine the net force.

 

[baba89]

I understand that gravity is a fundamental force that exists between all objects with mass. The magnitude of this force is determined by the masses of the objects and the distance between them, as described by Newton's Law of Universal Gravitation. In this question, we are given the masses and positions of three objects and asked to calculate the resulting force on one of the masses.

To find the magnitude of the resulting force on the 8 kg mass at the origin, we can use the formula for Newton's Law of Universal Gravitation: F = G * (m1 * m2)/r^2, where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

In this case, the 8 kg mass is at the origin, so the distance between it and the other two masses does not change. We can calculate the resulting force by adding together the forces from the 7 kg and 9 kg masses.

F = (6.6726 * 10^-11 N * m^2/kg^2) * ((7 kg * 8 kg)/(-3,1)^2 + (9 kg * 8 kg)/(1,2)^2)

= 1.7784 * 10^-10 N

Therefore, the magnitude of the resulting force on the 8 kg mass at the origin is 1.7784 * 10^-10 N.

As for the direction of the resulting force, it will depend on the positions of the other two masses. Without knowing their exact positions, it is difficult to determine the direction of the force. However, we can use vector addition to find the direction of the resulting force.

I hope this explanation helps you understand the question and how to solve it. If you have any further questions, please feel free to ask. It's important to catch up on any material you missed in class, so don't hesitate to ask your teacher or classmates for help as well. Good luck!