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Motion Question: Please HELP! (1 Viewer)

Joined
Apr 15, 2009
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HSC
2010
Hey guys i need help with this motion question, i did it but im not entirely sure im correct:

A car of mass 2000kg negotiates a turn radius 130m, banked at an angle 9 degrees to the horizontal at a speed of 70km/h. Calculate the frictional force to the nearest newton. (Take acceleration to be 10 m/s)

Heres what i did:

Fnetx = F - mg sin 9, where F = frictional force
.: (mv^2)/r = F - mg sin 9 ---> (1)

Fnety = N - mg cos 9, where N = normal force
Since, the car is not rising or falling
.: 0 = N - mg cos 9
.: N = mg cos 9

From (1),

F = m[ (v^2)/r + g sin 9]
.: F = 2000 {[(70/3.6)^2]/130 + 10 sin 9}
.: F = 70959 N

thanks for the help in advance ;D
 
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