Tension in Lift Cable (Upward Acceleration) – Rankers Physics

Uncategorized: Practice Problem & Solution

A person of mass \(60 text{ kg}\) is inside a lift of mass \(940 text{ kg}\) and presses the button on control panel. The lift starts moving upwards with an acceleration \(1.0 text{ m/s}^2\). If \(g = 10 text{ m/s}^2\), the tension in the supporting cable is (2011 Pre)
\(8600 text{ N}\)
\(9680 text{ N}\)
\(11000 text{ N}\)
\(1200 text{ N}\)

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

Total mass \(M = 60 + 940 = 1000 text{ kg}\).\(g = 10 text{ m/s}^2\), \(a = 1.0 text{ m/s}^2\) (upwards).Tension \(T = M(g+a) = 1000(10+1.0) = 11000 text{ N}\).

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