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question #1- A sports car of weight 5929 N is required tostop in 8.0 s. Calculat

ID: 1741078 • Letter: Q

Question

question #1- A sports car of weight 5929 N is required tostop in 8.0 s. Calculate the average net force
                    of the car required if the car is initially traveling at 126km/h.

question #2- A motorcycle stunt rider wants to jump a 180 mwide canyon. He arranges a ramp on one
                    side so he will be launched pointed 30 degrees above thehorizontal. An identical ramp is
                    placed on the opposite edge of the canyon so the top of the rampsare at the same elevations.
                    What minimum speed will be needed to just reach the other side?

Explanation / Answer

F=ma=mv/t and m=5929/9.8= 605 kg andv=126km/hr(1hr/3600s)(1000m/1km)=35m/s, so F=(605)(35)/8=2646.875N y=0, so 0=VoSint-1/2gt2 or0=VoSin-1/2gt and x=VoCost then we solve for t inthe first equation to obtain t=2VoSin/g and we plug this intothe second and get x=VoCos(2VoSin/g) orVo2=(gx)/(2CosSin)=2036.9 and finallyVo=45.132 m/s