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Q1. A fan at a rock concert is 30 m from the stage, where the sound intensity level is 110 dB. Her eardrums have a diameter of 8.4 mm. How much energy is transferred to each eardrum in one second? (Distance from the speaker to the edge of the stage is 1 m.)
Q2. A uniform density cube of mass m, side 2b, and center at C is placed on a fixed horizontal cylinder of radius r and center O in Earth's gravitational field. The cube is originally put so that C is centered above O, but it can roll from side to side without slipping. Utilize the Lagrangian approach to find an angular frequency of small oscillations about the top position. Note down the moment of inertia of the cube I = 2mb2/3 and for the small angle approximation: sin θ ≈ θ and cos θ ≈ 1 - θ2.
What is Johns resultant displacement
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A 4.70 kg mass causes a vertical spring to stretch 0.850 meters. The spring is after that stretch and extra 0.270 meters and release (as a stopwatch starts) causing the spring and mass to oscillate.
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An anchor holding a boat stationary on a river forms a 65 degree angle with the river bottom. The anchor line is 40 meters long. Assume the river has a uniform depth, how deep is the river directly below boat.
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Conclude the magnitude and directional angle
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