A sphere of mass m = 2.5 kg can move across a horizontal, frictionless surface. Attached to the sphere is an ideal spring with spring constant k = 27 N/m. At time t = 0 the sphere is pulled aside from the equilibrium position, x=0, a distance d = 12 cm in the positive direction and released from rest. After this time, the system oscillates between x = ± d.

Determine the magnitude of the force, in newtons, required to initially displace the sphere d=11 cm from equilibrium

F = 2.97 N

Explanation:

Since the surface is frictionless, the mass of the sphere has no effect on the force required to pull the sphere. The force that the spring applies is as follows

Therefore, the magnitude of the force required to initially displace the sphere d = 11 cm is

the answer is kevlar

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