Question

Problem 1 An object of mass m1 travels through empty space at a constant speed until it strikes and sticks to a second object. As observed from the frame where the second object is motionless, the first object was traveling at a speed of vi. In that same frame, both objects travel at a speed of v after the collision. a. What is the general expression for the mass of the second object in terms of mi, vi, and v? b. If the final speed is half the initial speed, what can you say about the masses of the two objects? c. What is the mass of the second object if m1 -90 kg, vi-6 m/s, and v 4 m/s? d. What is the mass of the second object if m1 90 kg, vi 6 m/s, and v 2 m/s? e. Do the last two answers make sense to you? Explain. Problem 2 One object is floating motionless in space until a chemical reaction at its core causes it to explode into two pieces which fly apart in opposite directions. One piece has a mass m1 and moves at speed v. The other has a mass m2 and moves at speed v2. a. What is the general expression for the mass of the second piece in terms of m1, V1. and v2? (Recall that the velocities with magnitudes v1 and v2 have opposite directions.) b. If the v1 and v2 have equal magnitudes, what can you say about the masses of the two pieces? C. What is the mass of the second piece if m1 600 kg, V1 - 12 m/s, and v2 6 m/s? d. What is the mass of the second object if m1 600 kg, v1 - 9 m/s, and v2 12 m/s? e. Do the last two answers make sense to you? Explain.