If half of the weight of a flatbed truck is supported by its two drive wheels, what is the maximum acceleration it can achieve on dry concrete where the coefficient of kinetic friction is 0.7 and the coefficient of static friction is 1.

Respuesta :

Answer:

Maximum acceleration will be equal to [tex]3.43m/sec^2[/tex]

Explanation:

We have given coefficient of kinetic friction [tex]\mu _k=0.7[/tex]

And coefficient of static friction [tex]\mu _s=1[/tex]

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

When truck moves maximum force will be equal to [tex]F=\mu _kmg[/tex]

It is given that half of the weight is supported by its drive wheels

So force required [tex]=\frac{\mu _kmg}{2}[/tex]

From newtons law maximum acceleration will be equal to [tex]a=\frac{\frac{\mu _kmg}{2}}{m}=\frac{\mu _kg}{2}=\frac{0.7\times 9.8}{2}=3.43m/sec^2[/tex]