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Makes n rpm (rev/min) and produces an acceleration of 5.00g at its outer end. (a

ID: 1708837 • Letter: M

Question

Makes n rpm (rev/min) and produces an acceleration of 5.00g at its outer end. (a) What is the acceleration (in g's) at a point halfway out to end? (b) This centrifuge is now used in a space capsule on the planet Mercury, where gMercury is 0.378 what it is on earth. How many rpm ( in terms of n) should it make to produce 5gMercury at its outer end? Raindrops. When a train's velocity is 12.0 m/s eastward, raindrop that are falling vertically with respect to the earth make traces that are inclined 30.0degree to the vertical on the window of the train. (a) What is the horizontal component of a drop's velocity with respect to the earth? With respect to the train? (b) What is the magnitude of the velocity of the raindrop with respect to the earth? With respect to the train? An airplane pilot sets a compass course due west and maintains an airspeed of 220 km/h. After flying for 0.500 h, she finds herself over a town 120 km west and 20 km south of her starting point. (a) Find the wind velocity ( magnitude and direction), (b) If the wind velocity is 40 km/h due south in what direction should

Explanation / Answer

The magnitude of horizontal   drop's velocity with respect to earth is zero The magntude of horizontal   drop's velocity with respect to trian is 12 m/s along west ward direction The magitude of velocity of the rain drop with respect to the earth is                                                            = (12 m/s ) / tan30^0   = 20.8 m/s The magitude of velocity of the rain drop with respect to the triain is                                                         = sqrt ( (12 m/s)^2 + (20.8 m/s)^2) = 24.01 m/s The magitude of velocity of the rain drop with respect to the triain is                                                         = sqrt ( (12 m/s)^2 + (20.8 m/s)^2) = 24.01 m/s
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