A 27.0 kg child is riding a playground merry-go-round that is rotating at 25.0 rev/min. What centripetal force (in N) is exerted if he is 1.25 m from its center? (Enter the magnitude.) N (b) What centripetal force (in N) is exerted if the merry-go-round rotates at 1.5 rev/min and he is 8.00 m from its center? (Enter the magnitude.) N (c) Compare each force with his weight. (Enter the ratios of the magnitudes.) F(a) w = F(b) w =

Africtionless piston-cylinder contains 50 l of saturated liquid r-134a. the piston has a mass and an area resulting in an applied pressure of 500 kpa on the refrigerant. the refrigerant is now heated until its temperature rises to 70∘c. calculate the work (in kj) done during this process.

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Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s