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Question

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 m/s to 8 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."

A
The rate of change of momentum of an object is directly proportional to the resultant force applied
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B
The rate of change of momentum of an object is inversely proportional to the resultant force applied
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C
Change of momentum of an object is inversely proportional to the resultant force applied
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D
Change of momentum of an object is directly proportional to the resultant force applied
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Solution

The correct option is A The rate of change of momentum of an object is directly proportional to the resultant force applied
We know that "The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force.", also known as the Newton's second law of motion. Mathematically,
Fnet = Δp/Δt

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