state Newton's second law of motion derive the relationship f is equal to Ma
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Newton's second law of motion describes the relationship between an object's mass and the amount of force needed to accelerate it. Newton's second law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a).
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Newton second law states that force is directly proprtional to the rate of change of momentum ...that is given by
F = dp/dt
F = d (mv)/dt......since momentum p=mv
since mass is constant here ....we bring out it of the derivative. ..
therefore F = m*dv/dt
there fore we kmow that dv/dt = acceleration..
there fore F = ma...
hence proved....
F = dp/dt
F = d (mv)/dt......since momentum p=mv
since mass is constant here ....we bring out it of the derivative. ..
therefore F = m*dv/dt
there fore we kmow that dv/dt = acceleration..
there fore F = ma...
hence proved....
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