Physics 205 / Exam 2 [Form-A] Winter 2002 Page 2The XIXth Winter Olympic Games of the Modern Era (50,000 points)1.) Skeleton made a triumphant return to the 2002 Winter Olympics in SaltLake City, Utah, and Americans took the gold in both men’s and women’sdivisions. In this event you travel face forward on your stomach on a sled atspeeds up to 80 mph with steel runners on ice. The course has a vertical dropof 259 meters over a course of nearly a mile in length (1527 meters), anaverage angle of 10°. (a) Draw two Free Body Diagrams: One withoutfriction. One with friction.(b) Find the acceleration of the sled if there is no friction. The mass of the sled and driver is 115 kg.(c) Find the acceleration of the sled if there is friction. The coefficients of friction for steel on ice are0.090 and 0.040.http://www.saltlake2000.com Physics 205 / Exam 2 [Form-A] Winter 2002 Page 3(d) Jim Shea’s top speed in his gold medal run was 78.9 mph (35.3 m/s). Use the change in the PotentialEnergy, ΔUg , and the change in the Kinetic Energy, ΔK, and find the total work of the actual non-conservative forces, which would include both friction and air resistance.(e) At 78.9 mph (35.3 m/s), the sled goes into a tight turn and experiences a centripetal force of 6210 N.How many gee’s is poor Jim Shea having to pull? And what is the radius of the turn? Note: This is moregee’s than you get on a Space Shuttle launch!In the men's competition, the maximum weight of sled and driver, including equipment, is 115 kilograms (253 pounds). The sledalone may not weigh more than 43 kg (94.6 lbs.). If the weight of the sled and the driver, including equipment, does exceed 115kg (253 lbs.), the maximum weight of the sled alone must not exceed 33 kg (72.6 lbs.) The sled must be between 80 to 120centimeters (2 feet, 7.5 inches to 3 feet, 11.25 inches) long and 8 to 20 centimeters (3.1 inches to 7.9 inches) high.Physics 205 / Exam 2 [Form-A] Winter 2002 Page 4The Night of a Thousand Star Points… (50,000 points)2.) (a) Suppose there is a super spring exists which has a restoring force Fss = - C x³ . Find thepotential energy expression Uss that goes with this super spring force.An object of mass m = 4.00 kg begins its motion at x0 = -4.00 m, v0 = 4.00 m/s, a0 = -4.00 m/s² andan initial jerk of j0 = 4.00 m/s³. The motion of an object is determined by the following equation:(b) Find the force, F, acting on this object at time t = 1.00 sec.(c) As a particular motor starts up, its Power as a function of time is given by Pt tWs() .= 160 . Howmuch work does this motor do from t = 0 to t = 10.0 sec ?dxdtms333400= ./Physics 205 / Exam 2 [Form-A] Winter 2002 Page 5(d) Find the work done when GFNN=−3500. i + 6.062 j and the displacement is 5.102 m @ 30°.(e) An object of mass 6.25 kg has a motion that follows the following equations. Find the kineticenergy K at time t = 0.xt m m s m s() . . / . /=+ +100 200 40023tt23yt m ms ms() . . / . /=+ +500 500