First slide

Work

Question

A spring of spring constant 5 $\times$ 10³ N/m is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is (in J)

Moderate

Solution

$W = \frac{1}{2} k (x_{2}^{2} - x_{1}^{2}) = \frac{1}{2} \times 5 \times 10^{3} (10^{2} - 5^{2}) \times 10^{- 4} = 18 .75 J$

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