# Question #9be7f

Sep 17, 2016

$m = 1$ $\text{kg}$

$a = 20$ ${\text{m s}}^{- 2}$

#### Explanation:

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

$\implies 9.8$ $\text{N}$ $= m \cdot 9.8$ ${\text{m s}}^{- 2}$

$\implies 9.8$ ${\text{kg" cdot "m s}}^{- 2}$ $= m \cdot 9.8$ ${\text{m s}}^{- 2}$

$\implies m = 1$ $\text{kg}$

Then, using $F = m a$:

$\implies 20$ $\text{N}$ $= 1$ $\text{kg}$ $\cdot a$

$\implies 20$ ${\text{kg" cdot "m s}}^{- 2}$ $= 1$ $\text{kg}$ $\cdot a$

$\implies a = 20$ ${\text{m s}}^{- 2}$