Part C $-$ Thinking $($Full Solution is required$)[10$ marks$]$

A $1500-kg$ car making a turn on a dry banked highway ramp with angle of inclination of $10$ is experiencing

friction. The coefficient of static friction between the tires and the road is $0\mathrm{.}40.$ Draw vector components for the

force of static friction and for the normal force.

a$.$ Determine the maximum speed at which the car can safely negotiate a turn of radius $2\mathrm{.}0{10}^{2}m.(7$ marks$)$

b$.$ How would this maximum speed be different if $(3$ marks$)$

i$)$ the car were heavier?

ii$)$ the angle were greater?

iii$)$ the coefficient of friction were less?