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A bored student makes a poor life decision and decides to go do donuts in a school parking lot. The student jumps into his/her 1500kg car and heads to the lot. Assume he/she drives in circles with a 10 meter radius and the coefficient of friction is 0.7 between the tires and the dry road. A) What is the maximum speed car can go before it starts to slide?

Respuesta :

davidlcastiblanco

Answer:

The maximum speed the car can go before it star to slide is

[tex]v=8.2 m/s[/tex]

Explanation:

Using the conservation of energy the force in motion is

[tex]F=m*a[/tex]

[tex]F_k=u*F_N[/tex]

[tex]F_N=m*g[/tex]

[tex]F_k=m*a_c[/tex]

[tex]u*m*g=m*a_c[/tex]

[tex]a_c=\frac{V^2}{r}[/tex]

[tex]u*g=\frac{V^2}{r}[/tex]

Solve to v'

[tex]v=\sqrt{u*r*g}=\sqrt{10m*0.7*9.8m/s^2}=\sqrt{68.6 m^2/s^2}[/tex]

[tex]v=8.2 m/s[/tex]