A light plane of mass 1200 kg makes an emergency landing on a short runway. With its engine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags a cable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider the system as a combined mass along with the sandbag and the plane. Now, the coefficient of friction between the sandbag and the runway is µk = 0.4, and also the plane's brakes give an additional retarding force of magnitude 1400 N. So our target for this problem is to find how far does the plane go before it comes to stop. Assume, when the plane snags the sandbag, the collision is instantaneous. [Hints Think carefully whether you can apply conservation of momentum or not] (a) Find the speed of the plane and sandbag immediately after the collision. (b) Find the time when the plane along with the sandbag will come to stop. [Hints: Think about whether the system (sandbag and the plane) will accelerate or decelerate.] (c) Find how far the plane goes before it comes to stop.

A light plane of mass 1200 kg makes an emergency landing on a short runway. With its engine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags a cable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider the system as a combined mass along with the sandbag and the plane. Now, the coefficient of friction between the sandbag and the runway is µk = 0.4, and also the plane's brakes give an additional retarding force of magnitude 1400 N. So our target for this problem is to find how far does the plane go before it comes to stop. Assume, when the plane snags the sandbag, the collision is instantaneous. [Hints Think carefully whether you can apply conservation of momentum or not] (a) Find the speed of the plane and sandbag immediately after the collision. (b) Find the time when the plane along with the sandbag will come to stop. [Hints: Think about whether the system (sandbag and the plane) will accelerate or decelerate.] (c) Find how far the plane goes before it comes to stop.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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