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A cube of aluminum has an edge length L = 13.8 cm. Aluminum has a density of 2.7 g/cm and a specific heat of c = 0.91 J/gxC*. When the internal energy of the cube increases by Q = 193,135 J, what is increase of the temperature, 47, of the cube? Please round your answer to one decimal point.A 50-gram copper cylinder at 140 C is dropped in a container with 60 grams of water at 30 C. What is the final temperature of the mixture? Assume that no heat is transferred to the container. The specific heats of copper and water are, respectively, 0.390 J/g 'C and 4.18 J/g "C.The graph below represents the simple harmonic motion of a mass m = 5.82 kg object. What is the kinetic energy energy, K, of the object at t = 0.64 s? Note that the angular frequency, W= 8 because the period, T, is 8.0 s (from the graph) and the amplitude Xm = 0.60 m (also from the graph). Please round your answer to three decimal places. x (m) 0.60- N 6 10 14 t (s)In deep space, asteroid A with mass 1.0 x 1015 kg is initially 100 km away from another asteroid, asteroid B, with a mass of 3.0 3:: 10\" kg. Both asteroids are initially at rest, calculate the magnitudes of their velocities [i.e., their speeds} when they are 1D km apart. (Hint: Use conservation of energy and conservation of momentum which can be written as: $311153 = - mg 1'3]