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. (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. (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. (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. (c) Find how far the plane goes before it comes to stop.