How Does Static Friction Affect Car Acceleration?

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physics1234
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An automobile with four wheel drive has mass of 1000kg. Its weight is evenly distrubuted among the four wheels, whos coefficient of static friction with the road is 0.80. If the car starts from rest and the road is horizontal calculate the maximum acceleration it can attain without spinning its wheels.

I did:

f = mumg
f = .8(1000)(9.8)
f = 7850

F=ma
7840=1000a
a= 7.84m/s2


Is this correct? If not, where did I go wrong? Thanks. :smile:
 
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physics1234 said:
An automobile with four wheel drive has mass of 1000kg. Its weight is evenly distrubuted among the four wheels, whos coefficient of static friction with the road is 0.80. If the car starts from rest and the road is horizontal calculate the maximum acceleration it can attain without spinning its wheels.

I did:

f = mumg
f = .8(1000)(9.8)
f = 7850

F=ma
7840=1000a
a= 7.84m/s2


Is this correct? If not, where did I go wrong? Thanks. :smile:

Your method looks okay to me, however, you have made a small arithmetical error here;
physics1234 said:
f = .8(1000)(9.8)
f = 7850