why is rate of change of momentum directly proportional to applied force and not inversely proportional to force?

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Solution

Rate of change of momentum is given by,
$Change in momentum = mv - mu Rate of change of time = \frac{Change in momentum}{Time} = \frac{(mv - mu)}{t} = \frac{m (v - u)}{t} = ma = Force Thus force is equal to the rate of change of momentum .$

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Q. What relation between force and momentum can be used to solve this problem?
"An object of mass 100 Kg is accelerated uniformly from a velocity of 5

\frac{m}{s}

to 8

\frac{m}{s}

in 6 seconds. Calculate the initial and final momentum of the object. Also find the magnitude of the force exerted on the object."

Q. How can we say that the rate of change of momentum is directly proportional to the applied force?

The rate of change of momentum of a body is directly proportional to the force applied and change in momentum takes place in the same direction as the applied force.

Which law states "The rate of change of momentum of a body is directly proportional to the force and takes place in the same direction as the applied force".

Q. The acceleration of an object is inversely proportional to the net force applied to it, and directly proportional to the mass of the object.

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why is rate of change of momentum directly proportional to applied force and not inversely proportional to force?

Rate of change of momentum is given by, Change in momentum=mv-muRate of change of time=Change in momentumTime=(mv-mu)t=m(v-u)t=ma=ForceThus force is equal to the rate of change of momentum.

Rate of change of momentum is given by,
$Change in momentum = mv - mu Rate of change of time = \frac{Change in momentum}{Time} = \frac{(mv - mu)}{t} = \frac{m (v - u)}{t} = ma = Force Thus force is equal to the rate of change of momentum .$