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Question 1) This diagram shows a mass of 0.500[kg] that can move along the x-direction. An ideal spring also along the x-direction is attached to the mass and the wall. 0 The spring is relaxed when the mass is located at the equilibrium position which is at, x-0.00[m] When the mass is 0.300fm] away from the equilibrium position, the magnitude of the force by the spring on the mass is 25.0[N] Assume that the force by the spring is the only force acting on the mass and the mass is oscillating along the x axis, going back and forth between the points x--0.700[m] and x-0.700[m]. a) If the mass is located at x-0.700[m] when t 0.00[s], at what time does the mass reach x = 0.00(n! (Obviously it will go to x-0 many times but we are interested in the first time after t-0.) (10 pts) b) Find the potential energy in the spring when the mass is located at x-0.700[m]. (12 pts) c) Find the speed of the mass as it passes the location x-0.300[m] (12 pts)
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