Gravitational Force: Find Angle for Net F on Particle 1

In summary, gravitational force is a fundamental force of nature that describes the attraction between two objects with mass. It can be calculated using the equation F = G(m1m2)/r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass. The net force on Particle 1 is the vector sum of all the forces acting on it, including gravitational force, and can be calculated using the equation Fnet = ma. The angle for net F on Particle 1 can be found using trigonometric functions, and it is important to know this angle to understand the direction and trajectory of the particle's motion in a given system.
  • #1
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Fig1 shows an arrangement of five particles with masses M1 = 10.0 Kg, M2=M3=M4=M5=2.5 Kg and with r = 4 cm. For what angle (in degrees) of the net gravitational force F on particle 1 due to other particles cancels out.
a)30 b) 45 c) 90 d) 0

(figure is given in the attachment)
 

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  • #2
Well, what do you think? Hint: Can you simplify the diagram at all?
 

1. What is gravitational force?

Gravitational force is a fundamental force of nature that describes the attraction between two objects with mass. It is responsible for keeping planets in orbit around the sun and objects on Earth from floating away into space.

2. How is gravitational force calculated?

The magnitude of gravitational force can be calculated using the equation F = G(m1m2)/r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

3. What is the net force on Particle 1 in this scenario?

The net force on Particle 1 is the vector sum of all the forces acting on it, including gravitational force. It can be calculated using the equation Fnet = ma, where m is the mass of Particle 1 and a is its acceleration.

4. How do you find the angle for net F on Particle 1?

The angle for net F on Particle 1 can be found using trigonometric functions, such as sine and cosine, in combination with the given information about the magnitude and direction of the forces acting on the particle.

5. Why is it important to find the angle for net F on Particle 1?

Knowing the angle for net F on Particle 1 is important because it helps us understand the direction of the resultant force acting on the particle, which in turn affects its motion and acceleration. It also allows us to accurately predict the trajectory of the particle in a given system.

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