1. A ball hanging from the ceiling by a string swings in a circle. If the...

1. A ball hanging from the ceiling by a string swings in a circle. If the radius of the circle it traces is 2 meters and its distance from the ceiling is 5 meters, what is the velocity of the ball?

2. Assuming an iced over road (no friction), if a car is going 25 m/s around a curve in the road of radius 75 meters, what is the perfect angle to bank the road so that the car stays on the road?

3. A block starts at rest and slides down a 3 meter long incline plane at 30 degrees in 3 seconds. Calculate the coefficient of kinetic friction between the block and the incline plane. Hint: use kinematics to find the acceleration, then use a force diagram to solve for the coefficient of kinetic friction.

4. A block of mass 10kg slides on an incline plane of 30 degrees while attached to a second mass of 2kg by a rope. The rope runs through a pulley and the second mass is hanging from the top of the ramp (as the problem we worked in class). Define the positive direction such that the first mass slides down the ramp. The coefficient of kinetic friction between the first mass and the incline plane is 0.1. Calculate the acceleration of the two mass system.

5. A block slides down an incline plane of 20 degrees. The coefficient of kinetic friction between the block and incline is 0.25. Calculate the resulting acceleration.

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Expert Solution

genius_generous answered 1 year ago

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