Two particles of mass m 1 = 1.1 kg and m 2 = 3.0 kg are traveling with velocitie

Question

Two particles of mass m1 = 1.1 kg and m2 = 3.0 kg are traveling with velocities v1 = 4.5 m/s, and v2 = 2.8 m/s as shown in the figure below. What is the total momentum of this system? Be sure to give the magnitude and direction of the momentum.

magnitude kg Two particles of mass m1 = 1.1 kg and m2 = 3.0 kg are traveling with velocities v1 = 4.5 m/s, and v2 = 2.8 m/s as shown in the figure below. What is the total momentum of this system? Be sure to give the magnitude and direction of the momentum.

Explanation / Answer

total momentum = m1v1 i +m2v2 j

==> P= 1.1*4.5 i +3*2.8 j=4.95 i +8.4 j

==> magnitude=sqrt(4.95^2+8.4^2)=9.75 N

==> direction = arctan(8.4/4.95)=59.48 degrees

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