SOLUTION: How much force is required to keep a 3.000 lb, car travelling at 45 mph from skidding on the curve of radius of 400 ft.

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Question 1198338: How much force is required to keep a 3.000 lb, car travelling at 45 mph from skidding on the curve of radius of 400 ft.
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
How much force is required to keep a 3.000 lb car
travelling at 45 mph from skidding on the curve of radius of 400 ft.
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They want you find the magnitude of the centripetal force.


For it, use the formula

    F%5Bcentripetal%5D = %28m%2Av%5E2%29%2FR,


where m is the mass, v is the linear speed, R is the radius, in consistent units.


Convert 45 mph to feet per second  45 mph = %2845%2A5280%29%2F3600 = 66 ft/s.


Convert 3000 lbs to mass by dividing the weight by the gravity acceleration g = 32 ft/s^2

    m = 3000%2F32 lbs/(ft/s^2).


Now substitute the values into the formula

    F%5Bcentripetal%5D = %28%283000%2F32%29%2A66%5E2%29%2F400 = 1021 lbs.    ANSWER


If you ask which force provides it,  I will answer you :  partly the friction force 
and partly the gravity  (if the road has a necessary slope to the center of the curve).

Solved.

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The last post-solution notice


        these units,  lbs,  feet and miles,  are hopelessly outdated for use in tasks in  Physics.

        It is just anti-pedagogic and anti-humane to use them in nova days.


        I would say, it is just already beyond the red line
        that separates educated people from their antipodes.

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An addition, added after viewing the post by Alan.

        After the year of  1960,  when  SI  system
        was officially established and units  " meter ",  " kilogram "  and " newton "
        were introduced for the length,  mass and force,  respectively,
        no one textbook/(problems book)  in  Physics uses the old units  " foot ",  " mile "  and  " pound ".



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Feet and miles (and other units) are "outdated" and inconvenient.
Fluid ounces, cups, teaspoons are silly.
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But, getting rid of feet and nautical miles will be difficult as they're used by all airports, ATC, and pilots world-wide. Ships also use nautical miles and knots.
Altimeter settings are given in inches of mercury, not millibars.
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PS All ATC stations, approach controls, towers and ground controllers must be fluent in English.