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While visiting San Diego, you find an old milk pitcher at the thrift shop and suspect that it is valuable because the metal is really soft, like most noble metals. You know that silver and platinum look similar, but have way different thermal conductivities (platinum is 72 W m-1 K-1, while silver is 420 W m-1 K-1). The pitcher is about 1 mm thick and has a base with a 50 mm diameter. You fill the pitcher with water and set it on a 100 W hot plate (only $0.99) and use a thermometer (also for sale at the thrift shop) to measure the temperature at the interface between the hot plate and the pitcher to stay at 100.7 °C as the water boils. Is the pitcher more likely to be silver or platinum?
the 50-kg homogeneous smooth sphere rest on the 30 degree incline A and bears against the smooth vertical wall B. calculate the contact forces at A and B.
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