Can two objects have the same momentum but different kinetic energy?

No. Momentum is simply mass times velocity. But kinetic energy is one-half the mass times the square of the velocity, so it’s much more dependent on the velocity than on the mass.

What happens if two objects have the same momentum?

If the objects’ momentum are equal, then mv1=mv2 which can be simplified to v1=v2. Thus, if the objects have the same mass then they also mist have the same velocity for their momentum to be the same. If they have the same mass and speed their linear momenta should be the same.

Can two objects have the same kinetic energy?

Kinetic energy is a function of mass and velocity, so objects of different masses can have the same kinetic energy.

How can things have the same momentum?

Two objects with the same mass will always have the same momentum.

Can two different objects have the same momentum?

So, the answer is: Yes, these objects have the same directions. The velocities do not have to be the same, and we see this from the expression for the momentum. The momentum will be the same if the velocities and the masses are different.

How is kinetic energy and momentum similar?

In short, momentum is the derivative of kinetic energy with respect to velocity as it describes the directional change in kinetic energy as the velocity changes. The derivative of kinetic energy with respect to velocity produces a vector quantity (momentum), similarly to a gradient of a scalar function.

How are kinetic and momentum different?

momentum is the quantity which gives us the idea of an object’s mass and velocity in and its direction of motion whereas kinetic energy gives us the idea of how much energy does the object have while doing so i.e, moving in that direction with that velocity.

Will 2 objects with the same mass have same momentum?

Will two objects with the same mass always have the same momentum?

Two objects with the same mass will always have the same momentum. Not all moving objects have momentum. When an object speeds up it gains momentum. Objects with different masses can’t have the same momentum.

What is the relationship between momentum and kinetic energy?

Momentum is simply mass times velocity. But kinetic energy is one-half the mass times the square of the velocity, so it’s much more dependent on the velocity than on the mass. You could have two objects with the same momentum,…

Can two objects with the same mass have different kinetic energy?

You could have two objects with the same momentum, one very massive but traveling slowly, and the other with only a little mass but traveling at a high velocity – and the latter one would have the higher kinetic energy.

How can two objects with different mass have the same momentum?

The change in momentum is equal to applied force multiplied by time interval. So if two objects of different mass are at rest and both experience the same size force for the same amount of time, then both will end up with the same size momentum.

Is kinetic energy dependent on mass or on velocity?

But kinetic energy is one-half the mass times the square of the velocity, so it’s much more dependent on the velocity than on the mass. You could have two objects with the same momentum, one very massive but traveling slowly,…