Newton’s law of universal gravitation states that the force of gravity between two bodies is proportional to the product of the two masses (m1 and m2) and inversely proportional to the square of their separation (r). For each scenario described below, explain how the force of gravity would change. Say something like “the force of gravity would double”. (a) The separation between the two bodies is increased by a factor of 10. (b) The separation between the two bodies is decreased by a factor of 10. (c) Both masses are tripled, and the separation is increased by a factor of 3.
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.
Newton’s law of universal gravitation states that the force of gravity between two bodies
is proportional to the product of the two masses (m1 and m2) and inversely proportional
to the square of their separation (r). For each scenario described below, explain how the
force of gravity would change. Say something like “the force of gravity would double”.
(a) The separation between the two bodies is increased by a factor of 10.
(b) The separation between the two bodies is decreased by a factor of 10.
(c) Both masses are tripled, and the separation is increased by a factor of 3.
(d) The separation is increased by a factor of 5.65 and one of the masses is
increased by a factor of 2.55.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 6 images
