Question

A 39-cm-long vertical spring has one end fixed on the floor. Placing a 2.2 kg physics textbook on the spring compresses it to a length of 29 cm. What is the spring constant?

Answer 1

Answer:

The spring constant is 215.6 N/m.

Explanation:

Given that,

Distance = 39 cm

Compresses length = 29 cm

Mass = 2.2 kg

We need to calculate the distance

Using formula of distance

$x=l-l'$

Put the value into the formula

$x=39-29=10\ cm$

We need to calculate the spring constant

Using formula of restoring force

$F=kx$

$k=\dfrac{mg}{x}$

Where, F = force

x = distance

Put the value into the formula

$k=\dfrac{2.2\times9.8}{10\times10^{-2}}$

$k=215.6\ N/m$

Hence, The spring constant is 215.6 N/m.