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A 200 g block ona 46 cm-long string swings in acircle on a horizontal, frictionl

ID: 1764029 • Letter: A

Question

A 200 g block ona 46 cm-long string swings in acircle on a horizontal, frictionless table at 72 rpm. (a) What is the speed of the block?
m/s

(b) What is the tension in the string?
N


While at a country fair, you decide to ride the Ferris wheel.Having eaten too many candy apples and elephant ears, you find themotion somewhat unpleasant. To take your mind off your stomach, youwonder about the motion of the ride. You estimate the radius of thebig wheel to be 16 m, and youuse your watch to find that each loop aroundtakes 28 s. (a) What is your speed?
m/s
What is the magnitude of your acceleration?
m/s2

(b) What is the ratio of your apparent weight to your true weightat the top of the ride?
wapp / w =

(c) What is the ratio of your apparent weight to your true weightat the bottom?
wapp / w =
(a) What is the speed of the block?
m/s

(b) What is the tension in the string?
N


While at a country fair, you decide to ride the Ferris wheel.Having eaten too many candy apples and elephant ears, you find themotion somewhat unpleasant. To take your mind off your stomach, youwonder about the motion of the ride. You estimate the radius of thebig wheel to be 16 m, and youuse your watch to find that each loop aroundtakes 28 s. (a) What is your speed?
m/s
What is the magnitude of your acceleration?
m/s2

(b) What is the ratio of your apparent weight to your true weightat the top of the ride?
wapp / w =

(c) What is the ratio of your apparent weight to your true weightat the bottom?
wapp / w =
(a) What is your speed?
m/s
What is the magnitude of your acceleration?
m/s2

(b) What is the ratio of your apparent weight to your true weightat the top of the ride?
wapp / w =

(c) What is the ratio of your apparent weight to your true weightat the bottom?
wapp / w =

Explanation / Answer

m = 200 g, L = 46 cm, = 72 rpm = 72*2/60 rad/s = 7.54 rad/s a) v = L = 3.47 m/s b) T = m2L = 5.23 N

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