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1. If a curve with a radius of 60m is properly banked for a car travelling at 60km/hr, what must the coefficient of static friction be for a car not to skid when traveling at 90km/hr?

2. A satellite of mass "m" moves in a circular orbit about the earth at a height "h" above its surface. If the radius of the earth is R and the accel due to gravity at the earth's surface is "g" show that the period of the satellite can be expressed as T=2pi*route((R+h)^3 / gR^2)

3. Calculate the mass of the sun using the fact that the period of the earth is 3.16x10^7 seconds and its mean distance from the sun is 1.5x10^11m. (G=6.67x10^-11 Nm^2/kg^2)

4. Conical pendulum question-

An amusement park ride consists of a rotating circular platform 8m in diameter from which seats are suspended at the end of 2.5m chains. When the system rotates the cahins holding the seats make an angle theta=28degrees with the vertical a) what is the speed of the seat? b) If a child of mass 40kg sits in the 10kg seat, what is the tension in the chain?

Thanks huge guys, if I can see how these questions are done, i should be set for my midterm exam.