A 1.3 kg particle moves directly eastward at a constant speed of 4.3 m/s along a

Question

A 1.3 kg particle moves directly eastward at a constant speed of 4.3 m/s along an east-west line.
(a) What is its angular momentum about a point that lies 7.2 m north of the line?
? kg · m2/s ..Is it upward ? downward? north? south? east? west? none of the above?

(b) What is its angular momentum about a point that lies 7.2 m south of the line?
kg · m2/s .. Is it upward ? downward? north? south? east? west? none of the above?
?
(c) What is its angular momentum about a point that lies 7.2 m directly east of the particle?
? kg · m2/s ..Is it upward ? downward? north? south? east? west? none of the above?

Explanation / Answer

mass of the particle m = 1.3 kg speed v = 4.3 m/s From the defination of angular momentum,    L = r x p L = rp sin

a)
L = (7.2 m)(1.3 kg)(4.3 m/s)(sin 90°)
L = 40.24 kg-m^2/s (upward)

b)
L = 40.24 kg-m^2/s (downward)

c)
L = (7.2 m)(1.3 kg)(4.3 m/s)(sin 0°)
L = 0 ( no direction)

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