The two cars, A and B, collided at right angles at the intersection. During the collision, the cars became entangled (AB) and moved off together to bump to a tree. Calculate the velocity (km/h) of car B just before collision with car A at the intersection. Right after bumping with the tree, determine the new velocity of the "entangled" cars. Also, compute for the percent energy lost from the cars after the two collisions occurred. Neglect the geometry of the cars before and after collision. Other details are tabulated below: Parameter Value Mass of car, ma (kg) Mass of car B, ma (kg) 1300 1650 Velocity of car A just before collision with car B, 50 Va1 (km/h) Velocity of car B just before collision with car A, Unknown, → Va1 (km/h) Coefficient of restitution between cars A and B, Unknown eAB Coefficient of restitution between the entangled cars (AB) and the tree (C), eABc 0.2

Is it possible for a system to have negative potential energy? "Yes, as long as the kinetic energy is positive." "Yes, as long as the total energy is positive." "Yes, since the choice of the zero of potential energy is arbitrary." O "No, because the kinetic energy of a system must equal its potential energy."

Give a specific example of a system with the energy transformation shown. In the question, W is the work done on the system, and K, U, and Eth are the kinetic, potential, and thermal energies of the system, respectively. Any energy not mentioned in the transformation is assumed to remain constant; if work is not mentioned, it is assumed to be zero. K → W

When you ride a bicycle at constant speed, almost all of the energy you expend goes into the work you do against the drag force of the air. In this problem, assume that all of the energy expended goes into working against drag. The drag force on an object is approximately proportional to the square of its speed with respect to the air. For this problem, assume that F ∝ ν2 exactly and that the air is motionless with respect to the ground unless noted otherwise. Suppose a cyclist and her bicycle have a combined mass of 60 kg and she is cycling along at a speed of 5 m/s. If the drag force on the cyclist is 10 N, how much energy does she use in cycling 1 km?A. 6 kJ       B. 10 kJ        C. 50 kJ       D. 100 kJ

A 62.0 kg skier is moving at 6.90 m/s on a frictionless, horizontal, snow-covered plateau when she encounters a rough patch 4.80 m long. The coefficient of kinetic friction between this patch and her skis is 0.300. After crossing the rough patch and returning to friction-free snow, she skis down an icy, frictionless hill 2.50 m high. 1) How fast is the skier moving when she gets to the bottom of the hill? 2) How much internal energy was generated in crossing the rough patch?

If you have a ball with a mass of 6.00kg, that has an initial velocity of vA=(2.00i + 5.00j)m/s and a final velocity of vB=(-2.00i + 8.00j)m/s, If the Work done only changes the kinetic energy, what is the average force applied on the ball, if the force is exerted for 3.50 seconds?   a. (-2.83i + 3.61j) N   b. (-6.81i + 5.14j) N   c. (0.00i + 13.0j) N   d. (-4.00i + 3.00j) N

When you ride a bicycle at constant speed, almost all of the energy you expend goes into the work you do against the drag force of the air. In this problem, assume that all of the energy expended goes into working against drag. The drag force on an object is approximately proportional to the square of its speed with respect to the air. For this problem, assume that F ∝ ν2 exactly and that the air is motionless with respect to the ground unless noted otherwise. Suppose a cyclist and her bicycle have a combined mass of 60 kg and she is cycling along at a speed of 5 m/s. If she doubles her speed to 10 m/s, how much energy does she use in cycling 1 km?A. 20 kJ      B. 40 kJ       C. 200 kJ       D. 400 kJ

Consider the following scenario. A car for which friction is not negligible accelerates from rest down a hill, running out of gasoline after a short distance. The driver lets the car coast farther down the hill, then up and over a small crest. He then coasts down that hill into a gas station, where he brakes to a stop and fills the tank with gasoline. Identify the forms of energy the car has, and how they are changed and transferred in this series of events.

A 150-g particle on the inside of a smooth hemispherical bowl of radius R 35.0 cm (see the figure below) is released from point A at rest. Its speed at B is 1,10 m/s. (a) What is its kinetic esergy at B? T h (b) How much mechanical energy is lost as a result of friction as the particle goes from A to B2 (c) Is it possible to determine u from these results in a simple manner? O Yes O No Explain. ..

A 100 kg object is fired straight up with an initial speed of 200 m/s. Ignore air resistance and set the initial height of the object at zero. Use g = 10m/s/s.   Find the total energy of the object. Find the height of the object when its speed is 100 m/s. Find the speed of the object when its height is 100 m. Find the maximum height of the object.