An early major objection to the idea that earth is spinning on its axis was that earth would turn so fast at the equator that people would be thrown into space. given : rearth = 6.37 × 106 m , mearth = 5.98 × 1024 kg , rmoon = 1.74 × 106 m , and g = 9.8 m/s 2 . show the error in this logic by calculating the speed of a 117 kg person at the equator. answer in units of m/s.

Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 70 miles per hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 66 miles per hour and 74 miles per hour. (assume the data set has a bell-shaped distribution.)

Which composition of water moves to begin a deepwater current?

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