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How fast can a 4000 kg truck travel around a 70 m radius turn without skidding if its tires share a 0.6 friction coefficient with the ground?

Respuesta :

Answer:

Velocity of truck will be 20.287 m /sec

Explanation:

We have given mass of the truck m = 4000 kg

Radius of the turn r = 70 m

Coefficient of friction [tex]\mu =0.6[/tex]

Centripetal force is given  [tex]F=\frac{mv^2}{r}[/tex]

And frictional force is equal to [tex]F_{frictional}=\mu mg[/tex]

For body to be move these two forces must be equal

So [tex]\frac{mv^2}{r}=\mu mg[/tex]

[tex]v=\sqrt{\mu rg}=\sqrt{0.6\times 70\times 9.8}=20.287m/sec[/tex]

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