An iron ball has a diameter of 12cm and is 0.02 cm too large to pass through a hole in a brass plate when the ball and plate are at the same temperature of 25°C. At what temperature the same for both ball and plate would the ball just pass through the hole. (linear expansivties for iron and brass are 1.32×10^-5 K ^-1 and 2.0×10^-5 K^-1​

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