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The 2 kg block in the figure slides down a frictionless curved ramp, starting fr

ID: 1281545 • Letter: T

Question

The 2 kg block in the figure slides down a frictionless curved ramp, starting from rest at a height of h = 3 m. The block then slides d = 7 m on a rough horizontal surface before coming to rest.What is the coefficient of friction between the block and the horizontal surface?

The 2 kg block in the figure slides down a frictionless curved ramp, starting from rest at a height of h = 3 m. The block then slides d = 7 m on a rough horizontal surface before coming to rest.What is the coefficient of friction between the block and the horizontal surface?

Explanation / Answer

WHEN IT FALLS TO GROUND LEVEL :

mgh = 1/2 mv2 ( from energy conservation )

V =SQRT (2*g*h )

V =SQRT (2*10*5 )

v=10 m/s

now as the horizontal level is of frictin nature

ACCORDING TO WORK ENERGY THEOREM:

WORK DONE BY ALL THe FORCES = CHANGE IN K.E

- f * s = (1/2)mvf2   -  (1/2)mvi2

Vf is zero AS FINAL VELOCITY IS ZERO

(umg ) *s = (1/2) m (10)2

u*m*10 *9 = (1/2) *m*10*10

u=0.555