Explain how objects on Earth accelerate compared to objects in the vacuum of space. Be sure to use Newton's laws of motion to support your explanations.

Explanation: Second Law of Motion states that the rate of change in the momentum of a body is directly proportional to the applied force, and it does so it the direction of this force.

F = ma

a = F/m

Also note that,

This is the equation for weight-the gravitational force on a mass m:

w = mg

Since g = 9.80 m/s2 on Earth, the weight of a 1.0 kg object on Earth is 9.8 N, as we see:

w = mg = (1.0 kg) (9.80m/s2) = 9.8 N

Since the weight of a particular body is determined by the product of it mass and gravity. And it is known that gravitational varies across the globe of which it is of less impact in the space, meaning the object in the space will accelerate greatly compared to the object on Earth even when the applied force is same and this is as a result of the effect of the weightlessness experienced in the space.