Can two objects have the same momentum but different kinetic energies?
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.
Does momentum remain same for all bodies?
For all bodies momentum always remains same.
Is momentum the same between two individuals with the same mass?
Two objects with the same mass will always have the same momentum.
Do bodies of unequal masses have same linear momentum?
Two bodies of unequal masses have same Kinetic energy. … That is mass has a direct dependence on linear momentum. Hence, the heavier body will have a greater momentum.
What happens to the momentum when all given objects have the same mass but different in velocity?
Mass and velocity are both directly proportional to the momentum. If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.
When mass is given the momentum of the body is proportional to what variable?
Momentum is directly proportional to the object’s mass and also its velocity. Thus the greater an object’s mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.
Can two unequal masses have equal kinetic energy?
If two unequal masses possess the same kinetic energy, then the heavier mass has greater momentum.
Can a body have momentum without energy?
So, if the Kinetic energy is zero, momentum will be zero. Hence, a body cannot have momentum without having energy.
When the momentum of a body is doubled its kinetic energy?
When the momentum of a body is doubled, its kinetic energy increases by 300%.
Why does the lighter mass have more kinetic energy?
If a light body and heavy body have the same momentum, then the lighter body will have more kinetic energy since the velocity has to make up for its lighter mass. Since kinetic energy is inversely proportional to the mass, hence the lighter body will have more kinetic energy.
What happens collision?
A collision happens when one object runs into another. When objects collide, the energy transfers from one object to the other. … The amount of energy transferred during a collision depends on the weight and speed of the moving object.
What is Work energy theorem in physics?
The work-energy theorem explains the idea that the net work – the total work done by all the forces combined – done on an object is equal to the change in the kinetic energy of the object.
When two bodies have the same velocity The lighter body has less momentum?
This is because if both the lighter and heavier objects have the same momentum then it is clear that lighter object will have the greater velocity and since kinetic energy is velocity dominant so the lighter object with higher velocity will have higher kinetic energy.
Which body has more momentum?
light body
The light body has greater momentum.
When two bodies have equal momentum then their velocities are?
Therefore, for two bodies to have equal momentum but different masses, their velocities have to be different. Simply by adjusting their velocities. v1/v2 = m2/m1. So their velocities must be in inverse ratio of their masses to have same momentum.
When a light and heavy body have equal kinetic energy then which one has a greater momentum?
A light and a heavy body have equal kinetic energies. The light body has greater momentum. Two mass of 1g and 4g are moving with kinetic energy in the ratio 4:1.
Why the heavier body have more momentum?
Since momentum is the same for the lighter as well as the heavier body then we can say that the lighter body moves with a greater velocity. We know that momentum is the product of velocity and mass of a particle.
Why does a heavier body have a smaller velocity than a lighter body having same linear momentum?
Because, greater the mass is equals to greater the gravitational force which resists the the velocity as well as the kinetic energy.
What is the relation between kinetic energy and momentum?
In a constant object, momentum increases directly with speed whereas kinetic energy increases the square of the velocity due to energy momentum relation.
Are heavy body and a light body have equal kinetic energy?
The kinetic energy of both bodies is the same. Let the mass of the heavier body be m1 kg and the mass of the lighter body be m2 kg. i.e a heavier body has greater momentum.
What is the relation between kinetic energy K and momentum p?
p = 2m/√K.
How do you find mass with kinetic energy and momentum?
How is force related to momentum of a body?
Force and momentum are directly proportional. Hence, momentum of the body increases with increase in the applied force. This relation is derived from Newton’s second law of motion. Thus rate of change of momentum and the force applied are directly proportional to each other.
How is mass and kinetic energy related?
Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object. … Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass.