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Newton's second law of motion

Force causes a mass to accellerate

Replace the word "causes" with an equal sign and you will have Newton's Second Law of Motion.

Force = Mass * Acceleration

The answer depends on the type of motion.

If you push an object on a surface with friction, I think the answer is yes, but let's work a problem and see.

Friction force = coefficeint of friction * mass * gravity

Friction force always decreases the velocity of an object, so it is usually negative.

I will give you an example:

A 2 kg object is sliding on a frictionless board at a speed of 25 m/s. It moves onto a board with a coefficient of friction of 0.5 between the object and the board.

How far does it move until it stops?

Friction force = coefficeint of friction * mass * gravity

Friction force = -0.5 * 2 kg * 9.8 m/s^2

Friction force = -9.8 N

Force = Mass * Acceleration

-9.8 N = 2 Kg * a

a = -4.9 m/s^2

This means the object will slow down at the rate of 4.9 m/s each second.

Using

Eq.#1 Vfinal = Vinitial + (acceleration * time)

Vfinal = 25m/s - 4.9 m/s each second * time

time = 5.1 seconds

Eq.#2 Average Velocity = (Vi + Vf) ÷ 2

Average Velocity = (25m/s + 0 m/s) ÷ 2

Average Velocity =12.5 m/s

Eq.#3 Distance = Average Velocity * time

Distance =12.5 m/s * 5.1 seconds

Distance = 63.75 m

Now notice what happens when the mass is 4 Kg

Friction force = -0.5 * 4kg * 9.8 m/s^2

Friction force = -19.6 N

Force = Mass * Acceleration

-19.6 N = 4Kg * a

a = -4.9 m/s^2

uh-oh. -4.9 m/s^2 is the same acceleration as when the mass was 2 kg, and the mass does not appear in the rest of the equations. I am sure glad I worked this problem. The answer to your question is No

For falling objects, I know the answer is No. Do you trust me?

I will give you an example:

A 2 kg object and a 4 kg object are dropped from a height of 10 m. They will both drop to the ground, which is 10 m down. However, a more interesting fact is they both will hit the ground at the same time!

When dropping objects the object's weightis theforce pulling it down.

Weight = Mass * gravity

Weight = 2 kg * 9.8 m/s^2 =19.6 N

Force = Mass * Acceleration

19.6 N= 2* Acceleration Acceleration = 19.6 N÷ 2 Acceleration = 9.8m/s^2

Weight = Mass * gravity

Weight = 4 kg * 9.8 m/s^2 = 39.2 N

Force = Mass * Acceleration

39.2 N= 2 * Acceleration Acceleration = 39.2 N ÷ 2 Acceleration = 9.8m/s^2

Everything accelerates at the same rate as it falls to the ground, neglecting air resistance which depends on the shape of the objects.

Of course. if you get to travel to the moon, things are different, right? Find out what the value of gravity is on the moon and try this last

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15y ago

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