Answer to Question #276143 in Physics for Junard

Question #276143

A rubber band has a spring constant of 45N\m. If the rubber band is pulled by a force of 9.8N, (a) how far would it stretch?(b)what is the worked done by this force in stretching this string

1
Expert's answer
2021-12-06T09:49:39-0500

(a)

F=kx,F=kx,x=Fk=9.8 N45 Nm=0.218 m.x=\dfrac{F}{k}=\dfrac{9.8\ N}{45\ \dfrac{N}{m}}=0.218\ m.

(b)

W=12kx2=12×45 Nm×(0.218 m)2=1.07 J.W=\dfrac{1}{2}kx^2=\dfrac{1}{2}\times45\ \dfrac{N}{m}\times(0.218\ m)^2=1.07\ J.

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