5. Imagine an anti-yıavily fuice lhal acts just like Newtonian gravity, but repels. So in the diagram, M1 repels the little mass, m, with a force magnitude of Fanti-grav = GM;m/r12 , where G still equals 6.674 x 10-11 m3kg1s 2, M, = M M2 = --- %3D -a +a 'x(t) The system shown in the diagram is isolated. M1 and M2 each repel m. No other forces act on m. And M, and M2 are held in place at ±a. d Write an expression for the restoring force exerted onto m. The expression should be in terms of G, M, m, a and x(t).
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
![Imagine an anti-yravily fuice lhal acts
just like Newtonian gravity, but repels. So in the
5.
M,
M2 = M
= M
diagram, M1 repels the little mass, m, with a force
magnitude of Fanti-grav = GM,m/r12, where G still
-12
+a
-a
equals 6.674 x 1011 m3kg-1s2,
'x(t)
The system shown in the diagram is isolated. M1 and M2 each repel m. No other
forces act on m. And M, and M2 are held in place att a.
sho an expression for the restoring force exerted onto m. The expression
should be in terms of G, M, m, a and x(t).
b. Is the motion of the little mass, m, simple harmonic motion?
Explain why or why not.
c. Determine the period for small amplitude (x << a) oscillations of m. Leave your
answer in terms of G, M and a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd1a8cb1-ca0e-4e90-8e34-e01dab6b84c4%2F3da65481-90b5-4611-96a1-bd5a3831be70%2Fixdpys_processed.jpeg&w=3840&q=75)
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