Question

A force of 100 newtons stretches an elastic spring by 2cm. Which force would stretch the same spring by 3.5cm

Answer 1

Answer:

306.25N

Explanation:

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Answer 2

A force of 100 newtons stretches an elastic spring by 2cm. The force would stretch the same spring by 3.5cm is 175 cm

Explanation:

Given force

$F=100$N

Stretch in the spring $x=2$ cm $=0.02$ m

We know that if a spring of spring constant k is applied with force F and stretch in it is x

Then

$F=kx$

$\implies k=\frac{F}{x}$

$\implies k=\frac{100}{0.02}$ N/m

If the force F stretches the spring by 3.5 cm (=0.035 m)

Then

$F=k\times0.035$

$\implies F=\frac{100}{0.02}\times 0.035$

$\implies F=100\times\frac{35}{20}=175$ N

Hope this answer is helpful.

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