ABOTwo objects with identical masses m are tied to each other with a string of length L. The figure shows the situation at the initial time t = 0. At that instant, the string istight, B is at rest, A is moving with velocity i A = i - vo .We will call the reference frame in which the problem is stated as the lab frame. It is easier to investigate the motion and answer the following questions in the center ofmass frame. For this reason, first we express the initial conditions in this frame.(a) Find the initial velocity of A and B relative to the center of mass frame.Note: you should enter the unit vectors i,j, k as ihat, jhat and khat.%3D(b) Find the tension in the stringTension =(C) Find the period of the motion in the center of mass frame.tperiod(d) Suppose that half a period has passed, i.e, the time is nowt = tperiod/2. Find the velocities of A and B in the lab frame at that time.%3D

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Answered: A Be Two objects with identical masses…

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Ex. 3: Consider the below forces, which depend on the position of the particle. Imagine a mass (m) which is subject to these forces. Suppose it is observed that the mass is not moving at x = 0. 1. F(x) = F + c. x II. F(x) = F sin(cx) a) Compute the velocity as a function of position of the mass. b) Determine the kinetic energy of the mass. III. F(x) = F ex c) Find the potential energy of the particle as a function of position d) For the force in part (1), find the amount of time it takes for the mass to traverse a 1m distance.
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2
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Answer parts c and d
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d and e please