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Using second law of motion, derive the r...

Using second law of motion, derive the relation between force and acceleration.

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State Newton's second law of motion. Hence, derive the relation overset rarr F=m overset rarr a , where the symbols have their usual meanings.

Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8m s^(-2) on a mass m_(1) and an acceleration of 24m s^(-2) on a mass m_(2) . What acceleration would the same force provide if both the masses are tied together?

Knowledge Check

  • Newton's second law of motion is

    A
    `F=(dp)/(dt)`
    B
    `F=mv`
    C
    `F=mv^(2)`
    D
    `F=m^(2)v`
  • The second law of motion states :

    A
    Every object will remain at rest or in a state of uniform motion unless compelled to change its state by the action of a net force
    B
    Every object will move in a uniform motion when a net force is applied .
    C
    The rate of change of momentum of an object is proportional to the net force applied on the object in the direction of net force
    D
    The rate of change of speed of a body will change with the net force applied
  • Newton's second law of motion is,

    A
    `F = (dp)/(dt)`,
    B
    `F = mv,`
    C
    `F = mv^2`
    D
    `F = m^2 v`
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    A : Newton's second law of motion gives the measurement of force. R : According to second law of motion, force is directly proportional to the rate of change of momentum.

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    Assertion: Newton's second law of motion gives the measurement of force. Reason: According to Newton's second law of motion, force is directly proportional to the rate of change of momentum.

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    Newton's second law of motion ______