Question #9be7f

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Answer 1 · 2016-09-17T09:55:52

$m = 1$ $m = 1$ $kg$ $"kg"$

$a = 20$ $a = 20$ ${m s}^{- 2}$ $"m s"^(- 2)$

We must first use the fact that weight is the product of mass and gravitational acceleration: $W = m g$ $W = m g$

$\Rightarrow 9.8$ $=> 9.8$ $N$ $"N"$ $= m \cdot 9.8$ $= m cdot 9.8$ ${m s}^{- 2}$ $"m s"^(- 2)$

$\Rightarrow 9.8$ $=> 9.8$ $kg \cdot {m s}^{- 2}$ $"kg" cdot "m s"^(- 2)$ $= m \cdot 9.8$ $= m cdot 9.8$ ${m s}^{- 2}$ $"m s"^(- 2)$

$\Rightarrow m = 1$ $=> m = 1$ $kg$ $"kg"$

Then, using $F = m a$ $F = m a$ :

$\Rightarrow 20$ $=> 20$ $N$ $"N"$ $= 1$ $= 1$ $kg$ $"kg"$ $\cdot a$ $cdot a$

$\Rightarrow 20$ $=> 20$ $kg \cdot {m s}^{- 2}$ $"kg" cdot "m s"^(- 2)$ $= 1$ $= 1$ $kg$ $"kg"$ $\cdot a$ $cdot a$

$\Rightarrow a = 20$ $=> a = 20$ ${m s}^{- 2}$ $"m s"^(- 2)$