Physics

A force causes an acceleration of 10 m s^-2 in a body of mass 500 g. What acceleration will be caused by the same force in a body of mass 5 kg ?

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As we know,

Force (f) = mass (m) x acceleration (a)

Given,

m = 500 g

Converting g to kg,

1000 g = 1 kg

500 g = ( $\dfrac{1}{1000}$ ) x 500 kg

500 g = 0.5 Kg

Hence, m = 0.5 Kg

a = 10 m s ^-2

Substituting the values in the formula above we get,

$F = 0.5 \times 10 \\[0.5em] \Rightarrow F = 5 \text {N} \\[0.5em]$

Hence,

Magnitude of force = 5 N

If, m = 5 Kg , f = 5 N

Substituting the values in the formula above we get,

$5 = 5 \times a \\[0.5em] \Rightarrow a = \dfrac{5}{5} \\[0.5em] \Rightarrow a = 1 \text {m s}^{-2} \\[0.5em]$

Hence, a = 1 m s ^-2

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