1) A block slides down a smooth 30 degree inclined plane in a time t seconds.if

Question

1) A block slides down a smooth 30 degree inclined plane in a time t seconds.if the plane were rough the block would take 4 times as long to travel the same distance. what is the coefficient of kinetic friction between the block and the plane?

2) She rides a motorcycle inside a hollow, transparent plastic sphere. after gaining sufficient speed, she travels in a vertical circle with a radius of 18.0M. she has a mass of 80 kg and her motorcycle has a mass of 30 kg. what minimum speed must she have at the top of the circle for the motor cycle tires to remain in contact with the sphere?

3)A 3kg block is pushed against a spring with negligible mass and force constant k=500 N/m, compressing its .30m. when the block is released, it moves along a frictionless incline with a slope 37 degrees. how far does the block travel up along the incline before starting to slide back down?

4) A system of 2 paint buckets connected by a rope of neglible mass, is realeased from rest with m=10kg bucket2.0 M above the floor. the mass of the other bucket M is 6.0kg and is at the floor level use conservation of energy to find the speed with which the 10 kg bucket strikes the floor. you can ignore friction and the mass of the pulley.

5) A hockey puck moving at 5m/s collides elastically with an identical puck at rest on a frictionless table. the collision is glancing (not head on) and the first puck proceeds with a speed of 3.o m/s after the collision. the speed of the struck puck after collision is?

6) Block A has a mass of 1kg and block b has a mass of 3kg . the blocks are forced together compressing a spring S between them; then the system is released from rest on a level frictionless surface. the spring which has a neglible mass is not fastned to either block, and drops to the surface after it has expanded. Block B acquires a speed of 1.8m/s. How much potential energy was stored in the compressing spring?

Explanation / Answer

given,

angle = 30 degree

mg * sin(30) = ma

g * sin(30) = a

s / 0.5 * g * sin(30) = t^2

in case of friction

a = g * sin(30) - k * g * cos(30)

t'^2 = s / (g * sin(30) - k * g * cos(30))

t' = 4t

16t^2 = s / (g * sin(30) - k * g * cos(30))

16 * s / 0.5 * g * sin(30) = s / (g * sin(30) - k * g * cos(30))

16 / 0.5 * g * sin(30) = 1 / (g * sin(30) - k * g * cos(30))

coefficient of kinetic friction between the block and the plane k = 0.576599

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