Question

in part a of the figure, particles 1 and 2 move around point o in circles with radii 2cm and 4 m. in part b, particles 3 and 4 travel along straight lines at perpendicular distances of 4 m and 2 m from point o. particle 5 moves directly away from o. all five particles have the same mass and the same constant speed. (a) rank the particles according to the magnitudes of their angular momentum about point o, greatest first. (b) which particles have negative angular momentum about point o?

Answer 1

The particles in part a of the figure can be ranked based on the magnitudes of their angular momentum. Particle 2 has the greatest angular momentum. Particle 2 also has negative angular momentum.

Step-by-step explanation:

(a) The magnitude of angular momentum for a particle moving in a circle is given by L = mvr, where L is the angular momentum, m is the mass of the particle, v is the linear velocity, and r is the radius of the circle.

In part a of the figure, particle 1 has a radius of 2 cm and particle 2 has a radius of 4 m.

Since they both have the same mass and same constant speed, the angular momentum for particle 2 is greater than particle 1 because it has a larger radius.

(b) To determine which particles have negative angular momentum, we need to consider the direction of their linear velocities.

Since particle 2 moves opposite to the direction of particle 1, it will have negative angular momentum.