A car of mass m is on an icy driveway inclined at an angle ? = 24.5, as shown in

Question

A car of mass m is on an icy driveway inclined at an angle ? = 24.5, as shown in the figure.

A car of mass m is on an icy driveway inclined at an angle ? = 24.5, as shown in the figure. (a) Determine the acceleration of the car, assuming the incline is frictionless. m/s2 (b) If the length of the driveway is 24.0 m and the car starts from rest at the top, how long does it take to travel to the bottom? s (c) What is the car's speed at the bottom? m/s EXERCISE HINTS: (a) Suppose a hockey puck slides down a frictionless ramp with an acceleration of 4.90 m/s2. What angle does the ramp make with respect to the horizontal? (b) If the ramp has a length of 6.50 m, how long does it take the puck to reach the bottom? s (c) Now suppose the mass of the puck is doubled. What's the puck's new acceleration down the ramp? m/s2

Explanation / Answer

a)acc=g sin 24.5=4.06 b)t=sqrt(2*24/4.06)=3.44 s c)v=4.06*t=13.95 m/s a)4.9=9.8*sin theta so theta=30 degree b)6.5=.5*4.9*t^2 so t=1.63 c)4.9 m/s^2

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