Question

a block of mass 1 kg is on inclined plane of angle 30 degree with a horizontal. the coefficient of static friction and the coefficient of kinetic friction between block and incline are 0.6 and 0.5.take positive direction to be up to the incline plane. the acceleration of the block is​

Answer 1

Solution

Acceleration of block down the plane is given by

For the motion of body along the incline,

a=

mgsinθ-μmgcosθ

m

(as,R=mgcosθandfs=μR)

=10×sin30∘-0.2×10cos30∘

=10×

1

2

-2×

√

3

2

=3.278ms-2

From equation of motion, v=u-at

Velocity after 5 s

v=0+3.278×5=16.35ms-1