A particle of mass 4.4 kg has position vector r= (1.9î – 3.4j) m at a particular instant of time when its velocity is v = (3.4î) m/s with respect to the origin. (Express your answers in vector form.) (a) What is the angular momentum of the particle (in kg - m2/s)? kg - m2/s (b) If a force F = 5.3j N acts on the particle at this instant, what is the torque (in N- m) about the origin? N- m

A rod of length 30.50 cm has linear density (mass per length) given by λ = 50.0+ 21.0x where x is the distance from one end, and is measured in grams/meter. (a) What is its mass? g (b) How far from the x = 0 end is its center of mass? m

A person of mass mp is standing at the right end of a cart of mass me and length s. The cart and the person are initially at rest. The person then walks to the left end and stops. You may assume that there is zero rolling resistance between the cart and the ground. (Part a) What is the speed of the cart when the person has finished walking? Express your answer only in terms of mp, mc and s as needed. Vc, f = (Part b) When the person is finished walking in what direction and how far has the cart moved? Express your answer only in terms of mp, me and s as needed. Xc₂f = (Part c) If the person takes a time interval At to go from rest to a speed u relative to the cart, what is the average force the person exerts on the cart during this time interval? Express your answer only in terms of mp, mc, Deltat for At and u as needed. Fp,c ▸

In (Figure 1), take m = 3.2 kg and mp = 4.6 kg. Figure 5 m 4 m 8 m/s 3 5 4 m 1.5 m MAA 0 1 2 m ↓ 4 m m MB B 30⁰