A student immersed 200 pennies (each having a mass of 3 9) in boiling water. After they reached thermal equilibrium, she quickly fished them out and
dropped them into 0.24 kg of water at 20°C in an insulated container of negligible mass. What was the final temperature of the coins? Pennies are
made of a metal alloy-mostly zinc with a specific heat capacity of 390 J/(kg .K). For water, C = 4.19 X 103 J/(kg .K).

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j