Question #166536

A stunt driver gives her car 3600 N to take a jump that has an angle of inclination of 31°. If she and the car together weigh 4700 N, what is the acceleration of the car? (Assume no friction.)


1
Expert's answer
2021-02-25T11:25:16-0500

mg=4700Nmg=4700N

m=47009.8=479.59\Rightarrow m=\dfrac{4700}{9.8}=479.59 kg


Balancing the forces along the plane,

ma=F4700sin31οma=F-4700sin31^{\omicron}

a=3600479.594700479.59sin31ο\Rightarrow a=\dfrac{3600}{479.59}-\dfrac{4700}{479.59}sin31^{\omicron}

a=2.554m/s2\Rightarrow a=2.554m/s^2


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