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A .580 kg glider on an air track is attached to the end of aidea spring with a f

ID: 1671245 • Letter: A

Question

A .580 kg glider on an air track is attached to the end of aidea spring with a force costant of 452 N/m: it undergoes simpleharmonic motion with and amplitude of 4.30 x10^-2 m. Compute the maximum speed of the glider Compute the speed of the glider when it is at x= -1.30x10^-2m Compute the acceleration of the glider at x= -1.30x10^-2m Compute the magnitude of the maximum acceleration of theglider Compute the total mechanical energy of the glider at any givenpoint on its motion. A .580 kg glider on an air track is attached to the end of aidea spring with a force costant of 452 N/m: it undergoes simpleharmonic motion with and amplitude of 4.30 x10^-2 m. Compute the maximum speed of the glider Compute the speed of the glider when it is at x= -1.30x10^-2m Compute the acceleration of the glider at x= -1.30x10^-2m Compute the magnitude of the maximum acceleration of theglider Compute the total mechanical energy of the glider at any givenpoint on its motion.

Explanation / Answer

Mass of glider m = 580 kg

Force constant k = 452 N / m

Amplitude A= 4.3 * 10 ^ -2 m

Maximum speed v = Aw

Where w = angular frequency = [ k/ m]= 0.8827rad / s

So, v = 0.03795 m / s

(b). x = -1.3 * 10 ^ -2 m