A small metal sphere weighing 10.0 N is hung from a vertical spring, which comes

Question

A small metal sphere weighing 10.0 N is hung from a vertical spring, which comes to rest after stretching 2.0 cm. (a) Determine the spring constant. (b) How much energy is stored in the spring when it is stretched 2.0 cm? A small metal sphere weighing 10.0 N is hung from a vertical spring, which comes to rest after stretching 2.0 cm. (a) Determine the spring constant. (b) How much energy is stored in the spring when it is stretched 2.0 cm? A small metal sphere weighing 10.0 N is hung from a vertical spring, which comes to rest after stretching 2.0 cm. (a) Determine the spring constant. (b) How much energy is stored in the spring when it is stretched 2.0 cm?

Explanation / Answer

given;- f = 10N, x = 2 cm = 0.02 m

using hooks law

f = -kx when spring is compress

in our case spring is stretch

;- f = kx

k = f/x

k = 10/0.02

k = 500 N

energy stored = 1/2kx^2

= 0.5*500*(0.02)^2

= 0.1 J

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