# Question: Newton's 2nd Law and Dropping a Ball from Different Heights

• mprm86
In summary: So does this mean that if you drop a ball from a really high height it will keep going faster than if you dropped it from a lower height?Daniel.Yes, that is right. The higher the height, the faster the ball will travel.
mprm86
I don´t understand this: Accordingo to the second Newton´s Law, F=ma. You have a spring on the floor with constant k with an horizontal base over it. You drop a ball from different heights, h. Clearly, when h is great, then the string will be compressed a long distance. If you drop the ball from a not too big height, so it won't be compressed that much. This means that the force changes depending on the height, right? But, the acceleration for the two balls is the same, g, so the forces acting on them must be the same. So, what happens?

Heh,energy is conserved,both for the falling ball,and for the horizontal plate & spring.So a greater velocity on the impact (from a greater "h") implies a bigger amplitude of oscillation for the the body-spring system...Which also means that the max acc. & force (elastic) will be bigger,if "h" is big...

Daniel.

Yes, i know that, but i still don´t get why the spring compresses more, because this would implies that the force that the ball dropped from a bigger height had is bigger than the one dopped from a low height. But this is not possoble, because the acceleration of both is g, and their masses are the same.

collisional forces work differently. I can't remember the equations exactly, but I am sure someone else here does.

mprm86,

"the acceleration of both is g, and their masses are the same."

That's true until they hit the spring. But what does F=ma say about the acceleration of the masses after they hit the spring?

Collision means transfer of momentum & energy and the presence of contact forces...These forces cannot be calculated,really...

Daniel.

mprm86, you are right to say that both of the balls would have the same acceleration, but they would have different velocities because the ball that was dropped from a higher starting position has more time to accelerate. The higher ball produces more force because it has more velocity. Try doing a google search on the formula f=ma and you will see some interesting things. Try these formulas for your problem instead f=d(mv)/dt or f=d(v1-v0)/(t1-t0). Hope those are right. Better check them first ;)

What was the question?
Huck

## 1. What is Newton's 2nd Law?

Newton's 2nd Law, also known as the Law of Acceleration, states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.

## 2. How does Newton's 2nd Law apply to dropping a ball from different heights?

When a ball is dropped from different heights, the net force acting on the ball is its weight, which is equal to its mass multiplied by the acceleration due to gravity. As the height increases, the weight and thus the net force also increase, resulting in a greater acceleration.

## 3. What is the relationship between force, mass, and acceleration in Newton's 2nd Law?

According to Newton's 2nd Law, force, mass, and acceleration are all directly proportional. This means that if the force acting on an object increases, its acceleration will also increase, while a decrease in mass will also result in an increase in acceleration.

## 4. How does the mass of the ball affect its acceleration when dropped from different heights?

As mentioned in the previous answer, mass and acceleration are directly proportional in Newton's 2nd Law. This means that a ball with a greater mass will experience a smaller acceleration when dropped from the same height compared to a ball with a smaller mass.

## 5. Can Newton's 2nd Law be applied to objects other than balls being dropped from different heights?

Yes, Newton's 2nd Law can be applied to any object experiencing a net force. This could include objects being pushed or pulled, objects in motion, or even objects in outer space. As long as there is a net force acting on an object, Newton's 2nd Law can be used to calculate its acceleration.

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