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1-A jet is circling an airport control tower at a distance of 23.5 km. An observ

ID: 1312061 • Letter: 1

Question

1-A jet is circling an airport control tower at a distance of 23.5 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 9.57 10-3 radians. Find the distance traveled (in meters) by the jet as the observer watches the nose of the jet cross from one side of the moon to the othe

2-By accident, a large plate is dropped and breaks into three pieces. The pieces fly apart parallel to the floor, with v1 = 3.00 m/s and v2 = 1.90 m/s. As the plate falls, its momentum has only a vertical component, and no component parallel to the floor. After the collision, the component of the total momentum parallel to the floor must remain zero, since the net external force acting on the plate has no component parallel to the floor. Using the data shown in the drawing, find the masses of pieces 1 and 2

Explanation / Answer

1) (9.57(10^-3) / 2Pi) * ( 2Pi*23.5km) = 2.248 (10^-1) km

where 2Pi*23.5km = the circumference of the circle traveled by the jet.

and (9.57(10^-3) / 2Pi) = the portion of the circle traversed by the jet's nose.

2) The vector sum of all momentums must be zero. Break down the momentum vectors into x and y components

x momentum total px = -m1*v1*cos(65