Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 250 rad/s. One such flywheel is a solid, uniform cylinder with a mass of 730 kg and a radius of 0.972 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 7.8 kW, for how many minutes can it operate between chargings? (a) Number i (b) Number i Units Units

The three spheres in the figure, with masses mA = 82 g, mg = 7 g, and mc = 20 g, have their centers on a common line, with L = 21 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? %3D L B C A (a) Number Units (b) Number Units

NAME: 5. 6. ID: BLOCK: DATE: A force of 20 Newtons is applied to an object at an angle of -35° with the horizontal. The object is 8. pulled 10 meters at an angle of 25°. How much work is done while moving the object? To carry a 100-pound cylindrical weight, two workers lift on the ends of short ropes tied to an eyelet on the top center of the cylinder. One rope makes a 20° angle away from the vertical and the other makes a 30° angle (see figure on page 757). NAME: 7. F₂ 20 30⁰ F₁ 100 lb 3 of 4 a. Find each rope's tension when the resultant force is vertical. b. Find the vertical component of each worker's force. ID: BLOCK: DATE: A ship leaves port on a bearing of 28° and travels 7.5 miles. The ship then turns due east and travels 4.1 miles. How far is the ship from the port and what is its bearing? A plane flies at a constant groundspeed of 400 miles per hour due cast and encounters a 50-mile-per- hour wind from the northwest. Find the airspeed and compass direction that will allow the…

A 10 ft. pole weighs 30 Ibs. (of force, to be clear). It lies flat on the ground. You lift one end of the pole until it stands vertically, the other end of the pole has been braced to the ground while you lift the other end up. Once the pole is upright, the segment of length Ax at height x has been raised a vertical distance of x feet. How much work is done to raise the pole vertically?