Force, Acceleration, mass and time

[V0ODO0CH1LD]

If I have a 1kg object moving on a straight path at 10m/s, I have to apply a force of 10N in the opposite direction to its trajectory to stop it completely, right? Does that mean I have to apply a force of 10N for one second to stop it completely? In that case, would a force of 10N for half a second only decelerate it to 5m/s and a force of 20N take half a second to stop it? And if that is the case wouldn't a wall have to apply a force much greater than 10m/s to stop the object, as it does, in fractions of a second?

 

[Doc Al]

If I have a 1kg object moving on a straight path at 10m/s, I have to apply a force of 10N in the opposite direction to its trajectory to stop it completely, right?

Not necessarily. It all depends on how quickly you want to stop it.

Does that mean I have to apply a force of 10N for one second to stop it completely?

If you do apply such a force for such a time, then you will stop it completely.

In that case, would a force of 10N for half a second only decelerate it to 5m/s and a force of 20N take half a second to stop it?

Exactly.

And if that is the case wouldn't a wall have to apply a force much greater than 10m/s to stop the object, as it does, in fractions of a second?

Yes.

 

[V0ODO0CH1LD]

Thank you! That really helped!

 

[Lsos]

And if that is the case wouldn't a wall have to apply a force much greater than 10 N (you used the wrong units) to stop the object, as it does, in fractions of a second?

Yes, the forces when hitting a wall can easily be orders of magnitude greater than "regular" forces, which is exactly why you don't want to run your car into a wall.

 

[PJC01]

Yes, you are correct. According to Newton's Second Law, force is equal to mass times acceleration (F=ma). In this scenario, the mass of the object is 1kg and the acceleration is 10m/s^2 (since it is decelerating from 10m/s to 0m/s). Therefore, the force required to stop the object completely is 10N.

In terms of time, the force of 10N would need to be applied for 1 second to stop the object completely. If the force is applied for only half a second, the object would decelerate to 5m/s and then continue moving at that speed unless another force is applied.

In the case of a wall stopping the object, the wall would have to apply a force much greater than 10N in order to stop the object in a shorter amount of time. This is because the wall is not a perfectly rigid object and can deform upon impact, meaning it would need to exert a larger force to counteract the object's momentum.

It is important to note that force, acceleration, mass, and time are all interrelated and can affect the motion of an object. In order to fully understand and predict the motion of an object, all of these factors must be taken into consideration.