A student places an object with a mass of 2 kilograms on a disk at a position .1

Question

A student places an object with a mass of 2 kilograms on a disk at a position .10 meters from the center of the disk. The student starts rotating the disk. When the disk reaches a speed of 0.8 m/s, the object starts to slide off the disk. What is the coefficient of static friction between the object and the disk? (4 pts) 2. 3. A car with mass 1200 kilograms travels over a hill with a radius of curvature of 25 meters ata speed of 15 m/s. What is the normal force on the car when the car is at the top of the hill (6 pts) A student with a mass of 200 kg rides a roller coaster with a loop with a radius of curvature of 6 meters. What is the minimum speed the rollercoaster can maintain and still make it all the way around the loop? (6 pts) 4.

Explanation / Answer

here,

mass , m = 2 kg

distance from center , r = 0.1 m

v = 0.8 m/s

let the coefficient of friction be u

equating the forces horizontally

m * v^2 /r = u * m * g

0.8^2 /0.1 = u * 9.81

solving for u

u = 0.65

the coefficient of friction is 0.65

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