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If the mass of a body and the force acting on it are both doubled, what happens to the acceleration?

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If the mass of a body and the force acting on it are both doubled, what happens to the acceleration?

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Acceleration remains same since

a = \(\frac{F}{m}\)

Now if force is doubled i.e. 2F and mass is doubled i.e. 2m

Then acceleration

a = \(\frac{2F}{2m}\) = \(\frac{F}{m}\)

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