A 1.30-kg particle moves in the xy plane with a velocity of V = (4.30 i − 3.70 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is r  = (1.50 i + 2.20 j) m.

A planet is at a position of r→=3.0×10^12mx̂ − 4.0×10^12mŷ as it moves in an elliptical orbit around a large star at the origin (x=0, y=0).  If the planet has a mass of 6.0 ×1026 kg and is moving with a velocity of v→=9.5km/sx̂, what is its angular momentum vector?  (give magnitude and direction)

Suppose a star has a mass three times that of our sun (that is, the star's mass will be 6 x 1030 kg) and starts out as a sphere with an initial radius several times larger than our sun (3.48 x10° m). It is initially spinning with one revolution every 12 days. What is its angular momentum, in kg m2/s?

A fan blade rotates with angular velocity given by w:(t) = y – B t?. Part C If y = 5.50 rad/s and B = 0.820 rad/s³ , calculate the average angular acceleration aav-z for the time interval t = 0 to t = 2.50 s . %3D ΑΣφ Aav-z

At the instant of the figure, a 8.90 kg particle P has a position vector of magnitude 6.60 m and angle 01 = 42.0° and a velocity vector of magnitude 7.90 m/s and angle 02 = 31.0°. Force 7, of magnitude 8.70 N and angle 03 = 31.0° acts on P. All three vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque acting on the particle? (a) Number i (b) Number i V 0₂ Units Units F03/ -X ◄► ◄►

A bird flies overhead from where you stand at an altitude of 310.0ĵ m and at a velocity horizontal to the ground of 14.0î m/s. The bird has a mass of 1.8 kg. The radius vector to the bird makes an angle ? with respect to the ground. The radius vector to the bird lies in the xy-plane. What is the bird's angular momentum (in kg · m2/s) about the point where you are standing? (Express your answer in vector form.)