Question

A block of mass 4 kg slides down an inclined plane inclined at an angle of 30o with the horizontal. Find the acceleration of the block a) assuming no friction between the block and the plane. b) in the presence of friction given that coefficient of kinetic friction between block and the plane is 0.4.

Answer 1

Answer:

a) a = 4.9 m/s²

b) a = 1.5 m/s²

Explanation:

no friction

F = ma

gsinθ = ma

a = gsinθ

a = 9.8sin30

a = 4.9 m/s²

friction

gsinθ - μmgcosθ = ma

a = g(sinθ - μcosθ)

a = 9.8(sin30 - 0.4cos30)

a = 1.5051...