Question

what is momentum. ...​

Answer 1

Answer:

hey here is your answer

Momentum is a commonly used term in sports. A team that has the momentum is on the move and is going to take some effort to stop. A team that has a lot of momentum is really on the move and is going to be hard to stop. Momentum is a physics term; it refers to the quantity of motion that an object has. A sports team that is on the move has the momentum. If an object is in motion (on the move) then it has momentum.

Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.

Momentum = mass • velocity

In physics, the symbol for the quantity momentum is the lower case p. Thus, the above equation can be rewritten as

p = m • v

where m is the mass and v is the velocity. The equation illustrates that momentum is directly proportional to an object's mass and directly proportional to the object's velocity.

The units for momentum would be mass units times velocity units. The standard metric unit of momentum is the kg•m/s. While the kg•m/s is the standard metric unit of momentum, there are a variety of other units that are acceptable (though not conventional) units of momentum. Examples include kg•mi/hr, kg•km/hr, and g•cm/s. In each of these examples, a mass unit is multiplied by a velocity unit to provide a momentum unit. This is consistent with the equation for momentum.

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Answer 2

Momentum

Momentum can be defined as the the product of mass and velocity in term of mathematical Physics. Momentum of a body is the quantity of motion possessed by the body. It is equal to the product of mass and velocity of the body.

[ Momentum = Mass × Velocity ]

=> [ .°. p = m × v ]

Here, momentum is a vector quantity because the velocity is a vector quantity and mass is a scalar quantity. It's direction is same as the direction of the velocity of the body. It's magnitude is given by

=> p = mv

SI unit of momentum = kg m/s

CGS unit of momentum = g cm/s

The dimensional formula of momentum is [MLT^(-1)].

Variation of Momentum when two bodies of equal/different masses have different/equal momenta

Case → 1

Consider two objects each of mass m suppose the two objects are moving with velocities v1 and v2 with v1 > v2

Then,

p1 = mv1 and p2 = mv2

Hence, p1 / p2 = mv1 / mv2 = v1 / v2

As, v1 > v2

So, p1 > p2

Thus, the linear momentum of bodies having equal masses are proportional to their velocities.

Case → 2

Consider a heavier object of mass m1. Suppose both the objects are moving with same velocity v. Then,

p1 = m1v and p2 = m2v

Hence, p1 / p2 = m1 / m2

As, m1 > m2

So, p1 > p2

Thus, the linear momentum of body having equal velocities are proportional to their masses.

Case → 3

Consider two objects having equal linear momenta. Thus,

p1 = p2 or m1v1 = m2v2

or, v2 / v1 = m1 / m2

As, m1 > m2

So, v1 < v2

Thus, velocity of bodies having equal linear momentum are inversely proportional to their masses that is when two objects have equal linear momentum the lighter object will move faster than the heavier one.