Static friction of car wheels

[physics1234]

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.

 

[Hootenanny]

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.

Your method looks okay to me, however, you have made a small arithmetical error here;

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

 

[kyle8921]

Yes, your calculation is correct. You correctly used the formula for static friction (f = mumg) and set it equal to the force of acceleration (F=ma). You then solved for acceleration (a) and got the correct answer of 7.84 m/s^2. Well done!