Two identical test cars are driving down a test track and hit their brakes at the same position. One car is travelling at twice the speed as the other. (a) Compare the kinetic energies of the two cars. (b) Use the idea of work to explain how much farther the faster car travels while braking

We know from the reading that it is possible to move the same object two different distances and still do the same amount of work. Let's consider an example in which Jane pushes a block of ice up an incline while Kip lift the same block of ice vertically to the top of the same incline. See the figure below. (look at picture) We will assume that there is no friction between the surface of the incline and the block of ice. Both of these situations will require the same amount of work and that the result of lifting the ice block to some height imparts potential energy to the ice. In this activity, we will make various calculation to help us better understand the relationship between work and potential energy and the idea of conservation of energy. For this activity we will assume that the mass of the ice block is 5.6 kg and the vertical height of the incline is 2 m. This is the vertical distance that Kip must lift the block of ice. We will assume that the acceleration due to gravity is 10…

A 68.1 kg runner has a speed of 3.50 m/s at one instant during a long-distance event.    For (a) Apply the definition of kinetic energy. For (b) use the work-energy theorem.   (a) What is the runner's kinetic energy at this instant (in J)?   (b) How much net work (in J) is required to triple her speed?

Please see attached image for question. Thank you

"If vectors A = 4i + 3j + 2k and B = 2i + 3j + 2k, then the dot product A.B will be equal to... "

Assume that before the accident happened, the car was going at a constant velocity of 60Km/h on a level highway for a distance of 10.0km. The car accelerated briefly to 70.0Km/h to pass another car and then returns to 60.0Km/h as it descends the other side of the hill, even though the driver has taken her foot off the accelerator. Describe the energy transformations taking place when the engine was not doing the work.

A 3500 lb SUV is traveling at 30 mph up a 6% slope when the engine quits. Use work and energy to determine the distance traveled until the vehicle comes to rest (at which point the parking brake is applied). Assume drag forces are negligible.