Question

Velocity of an object of mass m is increases from u to v
in time tunder the action of a constant force F. Then
the rate of change of momentum of the object is equal
to [where k is same numerical constant]​

Answer 1

Answer:

Newton's Second Law Of Motion

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Answer 2

The rate of change of momentum (p) will be equal to the force, F (ma).

Explanation:

• Newton's second law states - "acceleration depends on acting force and mass of object". In other words "acceleration varies directly with force, and inversely with the mass".
• Now we know that the rate of change in momentum is equal to force. So, $\frac{P_{final}-P_{initial}}{t}=F$
• The initial momentum is mu as initial velocity is u, and the final momentum will be mv as the final velocity is v.
• So, change in momentum = ma

        $\frac{mv-mu}{t}=F\\\\\frac{mv-mu}{t}=ma$

m is mass.

a is acceleration.

u is initial velocity.

v is final velocity