After graduating you get a job in Northern California. To move there, you rent a

Question

After graduating you get a job in Northern California. To move there, you rent a truck for all of your possessions. You also decide to take your car with you by towing it behind the truck. The instructions you get with the truck tells you that the maximum truck weight when fully loaded is 20,000 lbs and that the towing hitch that you rented has a maximum strength of 1000 lbs. Just before you leave, you weigh the fully loaded truck and find it to be 15,000 lbs. At the same time you weigh your car and find it to weigh 3000 lbs. You begin to worry if the hitch is strong enough. Then you remember that you can push your car and can easily keep it moving at a constant velocity. You know that air resistance will increase as the car goes faster but from your experience you estimate that the sum of the forces due to air resistance and friction on the car is not more than 300 lbs. If the largest hill you have to go up is sloped at 10o from the horizontal, what is the maximum acceleration you can safely have on that hill?

Explanation / Answer

m*g*sin(10) - (air resistance+ friction) = m*a

3000*32.17*sin(10) - 3000 = 3000*a

maximum accelaration a = 4.58 ft/s^2

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