Question 210: Work, Energy and Power & Circular Motion

Question

A spring of force constant $$800$$ $$N/m$$ has an extension of $$5$$ $$cm.$$ The work done in extending it from $$5$$ $$cm$$ to $$15$$ $$cm$$ is

Accepted Answer

When we extend the spring by $$dx$$ then the work done
$$dW = k\,x\,dx$$
Applying integration both sides we get,
$$	herefore$$ $$W = k\int\limits_{0.05}^{0.15} {x\,dx} $$
$$ = {{800} \over 2}\left[ {{{\left( {0.15} ight)}^2} - {{\left( {0.05} ight)}^2}} ight] $$
$$= 8\,J$$

Answer

$$16J$$

Answer

$$8J$$

Answer

$$32J$$

Answer

$$24J$$

Work, Energy and Power & Circular Motion

A spring of force constant $800 N/m has an extension of 5 cm. The work done in extending it from 5 cm to 15 cm$ is

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