Saturday, February 18, 2012

What is the maximum speed that a 1000kg car can travel over a hill with a vertical curvature of 30m?

What is the maximum speed that a 1000kg car can travel over a hill with a vertical curvature of 30m? This is a centripetal motion problem. Help anyone?What is the maximum speed that a 1000kg car can travel over a hill with a vertical curvature of 30m?The data is insufficient or we have to work with some assumption

Imagine a car speeding over a circular profiled hill

At any point on the hill we have two components of the wt of the car which can be worked out - one perpendicular to the earth surface and one at a direction which is tangent to the circular profile.

[(the tangential component either helps the car if car is on downward path or acts in opp direction if it moves upward to highest point of circle (or peak of hill)]

Except at the highest point where we have only a vertical component acting downwards along gravity.

in absence of locational data we assume your question related to the position at highest point



Now we centripetal force to the gravitational force on the car

or mv^2/r = mg

(1000) (v^2)/ 30 = (1000) (9.8)

v = 鈭?.8 鈭?30 m/s = (7鈭? ) (18/5) km/h = 61.72 km/hrWhat is the maximum speed that a 1000kg car can travel over a hill with a vertical curvature of 30m?No more than 35,i guess.

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