A 1000 kg sports car with a a 71 kg drivercrosses the rounded top of a hill (rad
ID: 1736783 • Letter: A
Question
A 1000 kg sports car with a a 71 kg drivercrosses the rounded top of a hill (radius = 100 m) at 22 m/s. (Include the mass of the driver, whereappropriate.) (a) Determine the normal force exerted by theroad on the car.1 N
(b) Determine the normal force exerted by the car on the71 kg driver.
2 N
(c) Determine the car speed at which the normal force on the driverequals zero.
3 m/s (a) Determine the normal force exerted by theroad on the car.
1 N
(b) Determine the normal force exerted by the car on the71 kg driver.
2 N
(c) Determine the car speed at which the normal force on the driverequals zero.
3 m/s
Explanation / Answer
Given that the mass of the car is m = 1000 kg mass of the diver is M = 71 kg The radius of the hill is r = 100 m The velocity of the car is v = 22 m/s -------------------------------------------------------------------------- -------------------------------------------------------------- (a) The normal forceexerted by the road on the car.(m+M)v2 / r + N = (M+m)g N= (M+m)g - (M+m)v2 / r = ------------- N (b) Thenormal force exerted by the car on the person.
(m)v2 / r + N = (m)g N =(m)g - (m)v2 / r = ------------- N (c) substitude the N= 0in above equation we get mv2/ r = mg v = gr =--------- m/s -------------------------------------------------------------- (a) The normal forceexerted by the road on the car.
(m+M)v2 / r + N = (M+m)g N= (M+m)g - (M+m)v2 / r = ------------- N (b) Thenormal force exerted by the car on the person.
(m)v2 / r + N = (m)g N =(m)g - (m)v2 / r = ------------- N (c) substitude the N= 0in above equation we get (m)v2 / r + N = (m)g N =(m)g - (m)v2 / r = ------------- N (c) substitude the N= 0in above equation we get mv2/ r = mg v = gr =--------- m/s
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