A mass M slides upward along a rough plane surface inclined at angle to the hori

Question

A mass M slides upward along a rough plane surface inclined at angle to the horizontal. Initially the mass has a speed o before it slides a distance L up the incline. The coefficient of kinetic friction between the mass and the incline is . While sliding, the acceleration of the mass is Directed upward along the incline Directed downward along the incline Determined by the force of gravity on the mass Determined by the frictional force on the mass Determined by the normal force on the mass Determined by adding the magnitudes of the frictional and gravitational forces Determined by subtracting the magnitude of the friction force from the gravitational force Determined by adding the magnitudes of the normal and frictional forces

Explanation / Answer

Acceleration of the mass along the inclined surface is given by the expression -

a = (M*g*sin theta + mu(k)*M*g*cos theta) / M

the direction of the acceleration is in the downward direction along the inclined plane.

So looking at the expression the correct answers are -

(ii) - directed downward along the incline

(vi) - determined by adding gravitational and frictional forces.

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