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Review_Midterm1 - Physics8A Problem1:Launchingarocket...

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Physics 8A Review Session – Midterm 1 Problem 1:   Launching a rocket A rocket rises vertically from rest, with an upward constant acceleration of 4.2 m/s ²   until it runs  out of fuel at a height of 1200 m. After this point, the acceleration is that due to gravity alone. (a) Calculate the speed of the rocket at the instant that it runs out of fuel. (b) How long does it take for the rocket to run out of fuel? (c) Calculate the maximum height that the rocket reaches. Problem 2:   Balancing masses Two equal masses are connected by a massless, unstretchable string over a frictionless pulley.  The angled surface is also frictionless, but the horizontal surface has  4 . 0 = s μ and  3 . 0 = k μ (a) Find the maximum angle of the ramp  max θ   for which the system can remain at rest. (b) If  max 2 θ θ = calculate the acceleration of the masses.
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