Man on Incline vs. Free Fall – Rankers Physics

Uncategorized: Practice Problem & Solution

A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the speed of both is related as: (2000)
\(v_B > v_m\)
\(v_B < v_m\)
\(v_B = v_m\)
\(v_B\) and \(v_m\) can't related

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:

For the bag, \(v_B = sqrt{2gh}\).For the man on a frictionless incline, acceleration \(a_m = g sintheta\). If he slides a distance \(L\), then \(h = L sintheta\).Speed \(v_m = sqrt{2 a_m L} = sqrt{2 (g sintheta) (h/sintheta)} = sqrt{2gh}\).Thus, \(v_B = v_m\).

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