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1. The diagram below shows a 10,000 kg bus traveling on a straight road which rises and falls. The speed of the bus at point
1. The diagram below shows a 10,000 kg bus traveling on a straight road which rises and falls. The speed of the bus at point A is 26.82 m/s. Consider this point as reference. The engine has been disengaged and the bus is coasting. Friction and air resistance are assumed negligible. The numbers on the left show the altitude above sea level in meters. The letters A-F correspond to points on the road at these altitudes. Complete the table shown. bus energy.jpg 2. An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. For (a), (b) and (c), the whole path is frictionless. (a) What is the initial gravitational potential energy of the block? Reference point : tip of the uncompressed spring. (b) What is the initial kinetic energy of the block? (c) When the block is projected downward, by what distance is the spring compressed when the block momentarily comes to rest? Consider gravitational potential energy of the block to be zero at this point. (d) If there is friction along the incline ( = 0.1), by what distance is the spring compressed when the block momentarily comes to rest? Use the same initial energy values as in (a) and (b). spring energy.jpg
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