I NEED HELP WITH THIS. THE ANSWER IS -0.0696J Question 10 Trudy is conducting an

Question

I NEED HELP WITH THIS. THE ANSWER IS -0.0696J Question 10 Trudy is conducting an experiment using the material of Lab 1: the spring-mass system. The air tracks are broken, so she places the glider on a rough horizontal surface and then attaches a horizontal spring to it (equilibrium at x o). The glider is pulled to one side, tothe location x = 28 c , and then released t oscillates back and orth a few times, eventually coming to rest at x =-12 cm hat is the total work done by friction, from the moment it was released until it stops? Extra Information that may help: Mass of the glider: 358 g Color of the spring: silver with a hint of burgundy Speed of sound in air: 343 m/s Period of oscillation of the spring-mass system on a frictionless surface: 2.55 s Coefficient of kinetic friction: 0.3

Explanation / Answer

initially sytem has spring potential energy.

so work done by friction will be the Pe lost by system.

{ T = 2 pi sqrt( m / k )

2.55 = 2 pi sqrt(0.358 / k )

k = 2.1735 N/ m}

Work done = PEf - PEi

= k xf^2 /2 - k xi^2 / 2

= (2.1735)(0.12^2 - 0.28^2)/2

= - 0.0696 J

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