Question

Un muelle se alarga 30 centímetros cuando ejercemos sobre el una fuerza de 24 N a) calcula el valor de la constante elástica del muelle b) calcula el alargamiento del muelle al aplicar una fuerza de 60 N

Answer 1

(a) k = 80 N/m (b) x = 75 cm

Step-by-step explanation:

The question says that, "A spring is elongated 30 centimeters when we exert a force of 24 N on it a) calculate the value of the spring constant b) calculate the elongation of the spring when applying a force of 60 N"

Given that,

Force exerted on the spring, F = 24 N

Elongation in the spring, k = 30 cm =0.3 m

(a) We know that, the force on the spring is given by :

F = kx

Where

k is spring constant

So,

`k=(F)/(x)\\\\k=(24)/(0.3)\\\\k=80\ N/m`

(b) When F = 60 N,

`x=(F)/(k)\\\\x=(60)/(80)\\\\x=0.75\ m\\\\x=75\ cm`

Hence, this is the required solution.