# If a spring has a constant of 4 (kg)/s^2, how much work will it take to extend the spring by 94 cm ?

Jul 25, 2018

The work is $= 1.77 J$

#### Explanation:

The work done is equal to the the potential energy stored in the spring

$W = \frac{1}{2} k {x}^{2}$

The spring constant is $k = 4 k g {s}^{-} 2$

The extension is $x = 0.94 m$

The work is

$W = \frac{1}{2} \cdot 4 \cdot {0.94}^{2} = 1.77 J$