JAMB - Physics (2024 - No. 102)

A force of 10N extends a spring of natural length 1m by 0.02m, calculate the length of the spring when the applied force is 40N.
0.08m
0.09m
1.08m
1.80m

Explanation

F = ke

k = \(\frac{F_1}{e_1}\)

F\(_1\) = 10N, e\(_1\) = 0.02m

F\(_2\) = 40N, e\(_2\) = ?

\(\frac{F_1}{e_1}\) =  \(\frac{F_2}{e_2}\)

\(\frac{10}{0.02}\) =  \(\frac{40}{e_2}\)

 e\(_2\) = \(\frac{40 \times 0.02}{10}\) = 0.08m

The new length = 1 + 0.08 = 1.08m

 

 

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