For the following questions, begin with the work-energy equation, cancel terms, substitute and solve. 1. A glider is gliding through the air at a height of 416 meters with a speed of 45.2 m/s. The glider dives to a height of 278 meters. Determine the glider's new speed. KE PBi + Wext KEf + PEf V = 987 m/s 2. A box with mass m is sliding along on a friction- free surface at 9.87 m /s at a height of 1.81 m. It travels down the hill and then up another hill. a. Find the speed at the bottom of the hill. + PEi + Wext + PEf KEi = KEf 1.81 ma b. Find the maximum vertical height to which the box will rise on the opposite hill. + KEi + Wext PEf PEi KEf A 1423-kg car is moving along a level highway with a speed of 26.4 m/s. The driver takes the foot 3. off the accelerator and the car experiences a retarding force of 901-N over a distance of 106 m. Determine the speed of the car after traveling this distance. + KEi PEi Wext KEf PEf A sledder starts from rest atop a 5.0-m high hill (A). She sleds to the bottom and up to the top of the adjacent 3.0-m high B hill. How fast is the sledder going at point B? Ignore friction. 5.0 m KEj + PEj + Wext = KEf + PEf 3.0 m