The $3\mathrm{.}15kg$ collar shown below is attached to a spring and released from rest at $A.$ The collar then travels downward a distance of $y=2\mathrm{.}10m.$ The spring has a spring constant of $k=25\mathrm{.}5\frac{N}{m}.$ The distance $a$ is given as $1\mathrm{.}10m.$ The datum for gravitational potential energy is set at the horizontal line through A and $B.$

Part A $-$ Determining the velocity of the collar at $C$ without friction

Determine the magnitude of the velocity of the collar at $C$ when the effects of friction are neglected. The spring is initially unstretched when the collar is at A$.$

Express your answer to three significant figures and include the appropriate units.

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Part B $-$ Determining the average frictional force acting on the collar

Determine the magnitude of the average friction force exerted on the collar when the velocity of the collar at $C$ is $3\mathrm{.}26\frac{m}{s}.$ The spring is initially unstretched when the collar is at $A.$

Express your answer to three significant figures and include the appropriate units.

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Part C $-$ Determining the average frictional force acting on the collar

Determine the magnitude of the average friction force exerted on the collar when the velocity of the collar at $C$ is $3\mathrm{.}26\frac{m}{s}$ and the spring has an unstretched length of $0\mathrm{.}60m.$

Express your answer to three significant figures and include the appropriate units.

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$F=$

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