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Q1. George of the Jungle, with mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the conflicting direction on it. Both vines are horizontal when the primates start from rest at the same moment. George and the gorilla meet at the lowest point of their swings. Each is afraid that one vine will break; as a result they grab each other and hang on. They swing upward together, reaching a point where the vines make an angle of 22.1° with the vertical. Find the value of the ratio m/M.
Q2. A dog pulls on the pillow with a force of 13 N at an angle of 22° above horizontal. Find the x and y components of this force.
Driving in your car with a constant speed of 13 m/s, you encounter a bump in the road that has a circular cross section, as indicated in the figure. If the radius of curvature of the bump is r = 29 m, find the apparent weight of a 59-kg person in you..
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A spring stiffness 900 N/m and relaxed length 1m stands vertically on a table. You hold a block of mass 1 kg barely touching the top of the spring. Assume you let the mass down onto the spring certain distance very slowly and view the mass is not mov..
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The temperature of the glass surface of a 30 W light bulb is 75°C when the room temperature is 10°C. Estimate the temperature of a 150 W light bulb with a glass bulb the same size. Consider only radiation, and assume that 90% of energy is emitted as ..
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A tank with a volume of 0.150 m contains 27.0 degrees celcius helium gas at a pressure of 100 atm. How various balloons can be blown up if each filled balloon so a sphere 30.0 cm in diameter at 27.0 and absolute pressure of 1.20atm .
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