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.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

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