Question

Please answer ALL parts in SIMPLEST FORM! NO explanations are needed, THANK YOU!!!

Problem 1 (50 points) masses mA 2 kg and mg -1 kg are connected by a small pulley. Mass ma is on an inclined plane at angle θ π/4 radians, and ms is allowed to hang freely (a) Suppose the string has length potential energy of the system as a function of the height of mass ma? (b) Find the acceleration of mass ma (either which way the masses move 10 m. Take a coordinate system in which the pulley is at the origin. What is the using energy conservation or using free-body diagrams). Specify (c) Find the minimum coefficient of static friction between mass ma and the inclined plane for which this arrange- ment of masses stays immobile. (d) Suppose the coefficient of kinetic friction is 0.1, and that the inclined plane is 3 m long and mass ma is initially at the top of the inclined plane. Find its momentum when it gets to the bottom of the inclined p (e) What fraction of the initial energy is lost by the time the mass gets to the bottom of the inclined plane? Problem 2 (50 points) An object of mass m is launched from the ground at 30 degrees to the horizontal with an initial velocity v. Afte achieving a height of 10 m it begins to fall. Precisely at this point, it also explodes into two pieces of equal mass; thes two pieces initially move horizontally. One of the pieces comes back and lands precisely where the object started our (a) What was the y component of the initial velocity? (b) What was the z component of the initial velocity ? (c) How far, along z, did the object move before it exploded? (d) What was the velocity of the piece that returned to the initial point? e) What was the velocity of the other piece right after the explosion? () [Extra credit How far did the other piece go before it landed?

Answer 1

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