ou want to run up a hill starting from standstill.  The hill is at an angle of 30 degrees with respect to hortizontal and has a coefficient of static friction of 0.3.       How long will it take to reach a top speed of 25.2km/h?

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You want to run up a hill starting from standstill.  The hill is at an angle of 30 degrees with respect to hortizontal and has a coefficient of static friction of 0.3.      

How long will it take to reach a top speed of 25.2km/h?

Expert Solution
Step 1: to find the acceleration:

The normal force acting the body =FN=mgcos 30°=9.8m×0.866=8.487m NThe frictional force acting on the body=Ff=μFN=0.3×8.487m=2.5461m NComponent of gravity travelling towards downwards=FD=9.8msin30=4.9m NFR=(4.9-2.55)m=2.35macceleration=2.35 m/s2

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