Momentum and Force: When to Use?

In summary, momentum is a property of an object that is retained even after a force is applied, while force is used to describe an interaction that changes the motion of an object. The constant force applied to a particle in a specific time interval is defined as the impulse of the force, resulting in a change of linear momentum. The equation for this is S_{1,2} = \int_{t_{1},t_{2}}{Fdt} = mv_{2} - mv_{1}.
  • #1
chandran
139
1
let us say there is a mass m. A push is applied at one end for 2seconds. The velocity of the mass changes to v2. So the force applied is
m*v2/2. But momentum is m*v2.

My query is when momentum should be used or has to be used?
 
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  • #2
I cannot imagine a more vague question. What exactly do you want to know?


P.S. You should have specified that the force applied to the block is a constant force.
 
  • #3
Momentum is a property of the object,
retained by it even after the Force quits.

Use momentum whenever you want to describe an object.

Use Force when you want to describe an interaction
that changes the motion of an object.

(scold: don't forget the unit "seconds"! Force = m * v2 / (2 )
 
  • #4
Generally, a constant force applied to a particle (i assume the mass you are talking about is a mass point) during time is defined as the impulse of the force, more precisely [tex]S_{1,2}=\int_{t_{1},t_{2}}{Fdt}=mv_{2}-mv_{1}[/tex], where the velocities, the impulse and the force are all vector quantities. So, you can conclude that a force that acts on a particle in a time interval, results with a change of linear momentum. I think everything should be clear now :)
 

1. What is momentum?

Momentum is a measure of an object's motion and is defined as the product of its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.

2. How is momentum different from force?

Momentum and force are related but distinct concepts. While momentum is a measure of an object's motion, force is a measure of the external influence that causes an object to accelerate or change its motion.

3. When should momentum be used?

Momentum should be used when analyzing the motion of an object that is in motion or has finished moving. It is particularly useful for calculating the final velocity of an object after a collision.

4. When should force be used?

Force should be used when analyzing the motion of an object that is currently in motion or is being acted upon by an external influence. It is particularly useful for calculating the acceleration of an object.

5. How can momentum and force be related?

Momentum and force are related through Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration. This can be written as F = ma, where F is force, m is mass, and a is acceleration. Additionally, momentum is conserved in a closed system, meaning that the total momentum of the system before and after a collision or interaction remains constant.

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