Question

If the work done to stretch an ideal spring by 4.0 cm is 6.0 J, what is the spring constant (force constant) of this spring? A) 300 N/m B) 3000 N/m C) 3500 N/m D) 7500 N/m E) 6000 N/m

Answer 1

Answer:

D) 7500 N/m

Explanation:

Given :

Work done by the spring, W = 6 J

Stretch in the spring, x = 4 cm = 0.04 m

Consider k be the spring constant.

The relation between work done and stretch of the spring is:

$W=\frac{1}{2}kx^{2}$

Substitute the suitable values in the above equation.

$6=\frac{1}{2}k(0.04)^{2}$

$k=\frac{12}{1.6\times10^{-3} }$

k = 7500 N/m