Question

CONSERVATION OF MOMENTUM IN ONE DIMENSION Mech 49 I. Momentum as a vector The momentum. P. of an object is defined as the product of its mass and its velocity: P = mü. The momentum of a system of multiple objects is defined as the vector sum of the momenta of the objects in that system: Psystem = P. + P2 + P3 + .... ob a bilno A. Two small boats are in a lake. An observer on the shore sees the boats moving with the same velocity, 1 m/s due cast. The mass of boat A is 10 kg; the mass of boat B, 5 kg. 1. Determine the magnitude and direction of the momentum of each boat. East Top view 2. Consider system C, consisting of the boats A and B. Determine the magnitude and direction of the momentum of system C. Explain. B. Later, an observer on the shore sees the boats moving with different velocities. Boat A moves with velocity 3 m/s due west, boat B, with velocity 5 m/s due east. 15 l = 3 m/s 1. Determine the magnitude and direction of the momentum of each boat. 19,1 = 5 m/s Top view 2. Determine the magnitude and direction of the momentum of system C. Explain.

Answer 1

East east som: - Mass of boat A, MA 2 10kg Mag of beat B, ms 2 - A Velocity of Boat Af B VA = VB = 1 mis towarlds 1) Momentum of Boat A. PA=mv = 1061 2 10kg-m/s towards east Momentum of Beat B. PR = mavo 5x1 : 5 kg-m/s towards east 27 Momentum of the system .c P= PA + B = 10+5 = 15kg-m/s towards east I 10Al-3m/s 1B I velocity of boat R - Vol= 5 m/s JA= 3 m/s due west A T velocity of boat B TiB 5 m/s due east Momentum of Baat A PAMAVA = 10x3 = 30 kg-m/s due west Momentum of Boat B Po = mBV ²5X5 2 25 kg-m/s due east Momentum of the system 25 Rg-m/s due west P = PA + PB = 30-2525 kg-m/s due west . 27