At a particular instant, a 1.0 kg particle's position is r = (4.015.0ĵ+ 2.0k) m, its velocity is ✔ = (-1.01 + 5.0ĵ+ 1.0k) m/s, and the force on it is F = (13.01 + 17.0ĵ) N. (Express your answers in vector form.) (a) What is the angular momentum (in kg. m²/s) of the particle about the origin? 1 = kg - m²/s (b) What is the torque (in N m) on the particle about the origin? T= N.m (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg - m²/s²)? dī dt kg - m²/s² =

At a particular instant, a 1.0 kg particle's position is r = (4.015.0ĵ+ 2.0k) m, its velocity is ✔ = (-1.01 + 5.0ĵ+ 1.0k) m/s, and the force on it is F = (13.01 + 17.0ĵ) N. (Express your answers in vector form.) (a) What is the angular momentum (in kg. m²/s) of the particle about the origin? 1 = kg - m²/s (b) What is the torque (in N m) on the particle about the origin? T= N.m (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg - m²/s²)? dī dt kg - m²/s² =