The accelaration changes since the distance between the particles changes, so I think this has to be solved analytically. I just don't know how to handle the final equation I gave, d^2x1/dt^2=-Gm2/(x2-x1)^2Aaron321 said:im confused at what ur asking for but here we go it might give u a start
F= Gm1m2/r^2
F=ma
m1a=Gm1m2/r^2
a=Gm2/r^2
v/t=Gm2/r^2
v=Gm2t/r^2
then use Speed = dist/time
is that what u wanted?
The equation of motion of a particle in a gravitational field is given by Newton's Second Law, which states that the net force acting on an object is equal to its mass times its acceleration. In the case of a particle in a gravitational field, the net force is the force of gravity, which is equal to the product of the particle's mass and the acceleration due to gravity.
The equation of motion is directly affected by the mass of the particle, as seen in Newton's Second Law. The greater the mass of the particle, the greater the force of gravity acting on it, and therefore the greater the acceleration. This means that a more massive particle will experience a greater acceleration in a gravitational field compared to a less massive particle.
The acceleration due to gravity, denoted as "g", is a constant that represents the strength of the gravitational field. It is a crucial factor in the equation of motion as it determines the magnitude of the acceleration experienced by the particle. The value of "g" varies depending on the strength of the gravitational field, which is determined by the mass and distance of the objects creating the field.
The distance between two objects does not directly affect the equation of motion. However, it does play a significant role in determining the strength of the gravitational field and, therefore, the acceleration experienced by the particle. According to the law of universal gravitation, the force of gravity decreases as the distance between two objects increases.
Yes, the equation of motion is the same for all objects in a gravitational field, regardless of their mass or size. This is because all objects experience the same acceleration due to gravity, regardless of their individual characteristics. However, the effect of this acceleration may vary depending on the mass of the object, as seen in Newton's Second Law.