What is the weight (in N) of the apple on the moon? A spring is characterized by

Question

What is the weight (in N) of the apple on the moon? A spring is characterized by the following force function, i.e. the force required to stretch the spring a distance x from it equilibrium position is given by: F(x) - 200 x where x is in meters and F in Newton's (equilibrium position at x = 0) mass of 2.0 kg is attached to the spring which is configured horizontally and the m is on the horizontal surface with no fiction How much work i done by the outside agent in pulling on the maw and Kicking the S V_ n initial position o_ t

Explanation / Answer

F(x) = 200x

dx = 0.30 - 0.10 = 0.20 m

work done = W = integration(F(x)dx) [0.1, 0.3]

W = integration(200x*dx) [0.1, 0.3]

W = 100*x^2 [0.1, 0.3]

W = 100[0.3^2 - 0.1^2] = 8 J

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