A block with mass ma = 14.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mb = 6.0 kg which hangs vertically. determine the magnitude of the acceleration of the system.

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Physics

Antwan Montoya

14 August, 02:23

A block with mass ma = 14.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mb = 6.0 kg which hangs vertically. determine the magnitude of the acceleration of the system.

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Dawson Arnold · Answer 1

We can assume that the horizontal surface has no friction and the pulley is massless. We can use Newton's second law to set up an equation. F = Ma F is the net force M is the total mass of the system a is the acceleration a = F / M a = (mb) (g) / (ma + mb) a = (6.0 kg) (9.80 m/s^2) / (6.0 kg + 14.0 kg) a = 58.8 N / 20 kg a = 2.94 m/s^2 The magnitude of the acceleration of the system is 2.94 m/s^2