  A 3.3 kg block is on an incline with a coefficient of static friction of 0.50. The angle that the ramp makes with the horizontal is increased gradually, until the block begins toslide down the ramp. If you know that the coefficient of kinetic friction between the block and the plane is 0.12, find the time it will take the block to slide down the ramp adistance of 0.68 m starting from rest.

Question

A 3.3 kg block is on an incline with a coefficient of static friction of 0.50. The angle that the ramp makes with the horizontal is increased gradually, until the block begins to slide down the ramp. If you know that the coefficient of kinetic friction between the block and the plane is 0.12, find the time it will take the block to slide down the ramp a distance of 0.68 m starting from rest. help_outlineImage TranscriptioncloseA 3.3 kg block is on an incline with a coefficient of static friction of 0.50. The angle that the ramp makes with the horizontal is increased gradually, until the block begins to slide down the ramp. If you know that the coefficient of kinetic friction between the block and the plane is 0.12, find the time it will take the block to slide down the ramp a distance of 0.68 m starting from rest. fullscreen
Step 1

Let m be the mass of the block, g be the acceleration due to gravity, θ be the angle of inclination, μs be the co-efficient of static friction. Then,

Step 2

As the block begins to slide, the acceleration a is given by,

Step 3

Using Newton’s equation of mo...

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Kinematics 