The front 1.20 m of a 1,350-kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision. (a) If a car traveling 21.0 m/s stops uniformly in 1.20 m, how long does the collision last? (b) What is the magnitude of the average force on the car? (c) What is the magnitude of the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity. g

A loaded tractor-trailer with a total mass of 5500 kg traveling at 2.5 km/h hits a loading dock and comes to a stop in 0.56 s . What is the magnitude of the average force exerted on the truck by the dock?

A car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…

The front 1.20 m of a 1,200-kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision. (a) If a car traveling 26.0 m/s stops uniformly in 1.20 m, how long does the collision last? (b) What is the magnitude of the average force on the car? (c) What is the magnitude of the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.