# How does Newton's second law relate to the force of gravity?

Gravity is the force between masses. F=ma, so the acceleration of a mass due to gravity will be different on different masses (planets).

When an object experiences acceleration due to a net force, its mass is inversely proportional to the net force's magnitude and directly proportional to the force's direction.

We don't need to understand the specifics of gravity to know that it is a FORCE proportional to the mass of an object, be it a pencil, a planet, the moon, or a star. It is this proportionality that causes objects to appear "lighter" on the moon and "heavier" on Jupiter.

An object's inherent mass remains constant, but the acceleration caused by gravity (weight) depends on the mass of the attracting body. This is known as a mutual "felt-force"; the sun gravitationally attracts the earth in the same way that the earth feels the sun's gravitational pull.

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Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In the context of gravity, this law relates to the force of gravity acting on an object. The force of gravity on an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is approximately 9.8 meters per second squared on the surface of the Earth. Therefore, according to Newton's second law, the force of gravity experienced by an object is directly proportional to its mass and the acceleration due to gravity.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A box with an initial speed of #2 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #3/2 # and an incline of #(2 pi )/3 #. How far along the ramp will the box go?
- An object with a mass of # 4 kg# is lying on a surface and is compressing a horizontal spring by #50 cm#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- An object with a mass of #6 kg# is acted on by two forces. The first is #F_1= < -6 N , 2 N># and the second is #F_2 = < 1 N, 3 N>#. What is the object's rate and direction of acceleration?
- How fast will an object with a mass of #24 kg# accelerate if a force # 12 N# is constantly applied to it?
- If the length of a #22 cm# spring increases to #95 cm# when a #7 kg# weight is hanging from it, what is the spring's constant?

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