A 1.00-kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg as shown. (a) Show that the speed υx of the glider and the speed υy of the hanging object are related by υx = uυy, where u = z(z2 - h02)-1/2. (b) The glider is released from rest. Show that at that instant the acceleration ax of the glider and the acceleration ay of the hanging object are related byax = uay. (c) Find the tension in the string at the instant the glider is released for h0 = 80.0 cm and θ = 30.0°. homFigure P5.40

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

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A 1.00-kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg as shown. (a) Show that the speed υ_x of the glider and the speed υ_y of the hanging object are related by υ_x = uυ_y, where u = z(z² - h₀²)^-1/2. (b) The glider is released from rest. Show that at that instant the acceleration a_x of the glider and the acceleration a_y of the hanging object are related by
a_x = ua_y. (c) Find the tension in the string at the instant the glider is released for h₀ = 80.0 cm and θ = 30.0°.

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