A system consists of three identical 13.32-lb particles A, B, and C. The velocities of the particles are, respectively, vA = vA j, vB = vBi, and vC = vCk. The angular momentum of the system about O expressed in ft·lb·s is HO = -1.2k. a) Determine the velocities of the particles.  b) Determine the angular momentum of the system about its mass center G.

The vehicle shown starts from rest at the bottom of the hill and accelerates up the hill due to the force FR from the road. Note that this is a static friction force and is not dissipative. Vrop = 9.7 m/s m = 1600 kg h = 50 m FR = 7300 N 0 = 25° A) If the vehicle reaches the top of the hill with the speed shown, how much thermal energy is dissipated in the process? B) Assuming that air drag, Fang , is the only dissipative force during this process, try to estimate the cross-sectional area of the vehicle "seen" by the air. In the formula for air drag, regard the car's speed as being a constant v = 5.0 m/s (this speed is roughly half of the starting and ending speeds). Use C = 0.5 for the drag coefficient and p = 1.25 kg/m³ for air density.

Please include the figure, fbd and formula. An empty freight car with a mass of 10,000 kg rolls at 5 m/s along a level track and collides with a loaded car with a mass of 20,000 kg, standing at rest with brakes released. Friction can be neglected. If the cars couple together, find their speed after the collision. a. Find the decrease in kinetic energy as a result of the collision. b. With what speed should the loaded car be rolling towards the empty car for both to be brought to rest by the collision?

Question 9 A car of mass 1200 kg is travelling west with a velocity of 72 kmh=1. It takes a left turn at 50° and continues with the same speed. It takes 5.5 s to turn the corner. a. Find the change in momentum of the car as it rounds the corner. b. Find the force the road applies to the cars tyres as it turns the corner. c. Find the force the car's tyres apply to the road as it turns the corner.