Final answer:
A falling 1.0kg mass on Earth has an increasing momentum as it accelerates due to gravity, with Earth's gravity providing an acceleration of 9.80 m/s² and a corresponding weight of 9.8 N for the mass.
Step-by-step explanation:
As a 1.0kg mass falls freely to the Earth, its momentum increases due to the acceleration caused by Earth's gravity. On Earth, gravity accelerates objects at a rate of 9.80 m/s², and the weight of a 1.0 kg object is thus 9.8 N (w = mg = (1.0 kg)(9.80 m/s²) = 9.8 N). The momentum of an object is defined as the product of its mass and its velocity (p = mv).
During free fall, as velocity increases over time due to this acceleration, so does the momentum. The momentum of the falling mass continuously changes (increases in magnitude) as the velocity increases until it is acted upon by another force or it impacts the ground. It is important to note that the rate of momentum increase may slightly vary across different locations on Earth's surface due to slight variations in the acceleration due to gravity. Nevertheless, a 1.0 kg mass will have a weight of about 9.8 N on Earth and only about 1.7 N on the Moon due to the differences in gravitational acceleration.