As shown in the figure below, cars #1 and #2 are sliding across a horizontal frictionless surface. The cars are equipped with a coupling arrangement similar to the one on railroad cars. Car #1 overtakes car #2 and they have a totally inelastic collision and become coupled together. You know the mass of each car; m, = 13.5 kg and m₂ = 45.0 kg. In addition, you are provided with the following graph, which shows the momentum of car #1 before, during and after the collision. p (kg - m/s) 100 40 Determine the velocity (in m/s) of car #2 before the collision. t(s)

Please answer quick you are in a bumper car with a total mass of 200.0kg your friend is also in a bumper car with a total mass of 200.0kg.You are moving to the right at 1.00m/s. Your friend is moving to the left at 0.500m/s. Your car hits a spot on your friends car that has no bumper. Your bumper acts as a spring with a spring constant of 2.00x10^4N/m. Determine the velocity of your car when the bumper has raced a maximum compression of 0.0700m.Assume friction is negligible.

graduate who joined the Navy as a pilot is about to take off in an F-15 (WF15 = 81,000 lb) from an aircraft carrier traveling at VA = 40 mph. The jet is launched from the catapult system (a connection just below the deck that assists the aircraft) with the force (Fcp) vs time curve shown that has points of F₁ = 1,000 lb at t₁ = 2 s and F₂ = 3,000 lb at t₂ = 5 s (the plane will reach the edge of the deck at t₂). The F-15 needs to be traveling at 170 mph to take off. Determine how much constant thrust (FTR) the engines must produce during the launch to reach this speed. F2 F₁ FCP t₁ VA t₂ FTR t (s)

Using the general Lagrange equation, write the model for the elevator shown. Sketch the block simulation diagram.