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How does Newton's second law of motion describe the relationship between acceleration and mass of a given object?

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F = m / a

F = a / m

F = ma

F = ma 2

answer is C.

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Detailed Solution

The relation between mass and acceleration of a body according to Newton’s third law is

F = ma .

Newton’s second law of motion states that the external unbalanced force acting on a system is equal to the change in the time rate of the momentum of the object. For a particle of mass m and velocity v, the force acting on it F is

F = \frac{dP}{dt}

Where

P = mv

is the momentum of the particle, then by the second law of motion, we have,

F = \frac{d (mv)}{dt}

\Rightarrow F = m \frac{dv}{dt}

\Rightarrow F = ma

‘

a

’ is the acceleration of the object due to the external force.

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