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

Answer:

(a) k = 80 N/m   (b) x = 75 cm

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,

$k=\dfrac{F}{x}\\\\k=\dfrac{24}{0.3}\\\\k=80\ N/m$

(b) When F = 60 N,

$x=\dfrac{F}{k}\\\\x=\dfrac{60}{80}\\\\x=0.75\ m\\\\x=75\ cm$

Hence, this is the required solution.