---
title: "A block of mass \\(M_1\\) travels horizontally with a constant speed \\(v_0\\) on a plateau of height \\(H\\) until it comes to a cliff. A toboggan of mass \\(M_2\\) is positioned on level ground below the cliff. The center of the toboggan is a distance \\(D\\) from the base of the cliff."
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url: "https://nerd-notes.com/ubq/30017/"
date_modified: "2025-10-21T07:25:51+00:00"
---

# A block of mass \(M_1\) travels horizontally with a constant speed \(v_0\) on a plateau of height \(H\) until it comes to a cliff. A toboggan of mass \(M_2\) is positioned on level ground below the cliff. The center of the toboggan is a distance \(D\) from the base of the cliff.

A block of mass \(M_1\) travels horizontally with a constant speed \(v_0\) on a plateau of height \(H\) until it comes to a cliff. A toboggan of mass \(M_2\) is positioned on level ground below the cliff. The center of the toboggan is a distance \(D\) from the base of the cliff.

**Part a)** Determine \(D\) in terms of \(v_0\), \(H\), and \(g\) so that the block lands in the center of the toboggan. *(3 points)*

**Part b)** The block sticks to the toboggan which is free to slide without friction. Determine the resulting velocity of the block and toboggan. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/30017/*