please I need the detailed answers for these questions A block of mass m = 2.0 k

Question

please I need the detailed answers for these questions

A block of mass m = 2.0 kg slide down an inclined plane which makes an angle theta = 30 degree with the horizontal. What is the acceleration of the block if the inclined plane is frictionless? What is the acceleration of the block if the inclined plane has a coefficient of kinetic friction mu = 0.4? A 60.0 kg person rids in elevator while standing on a scale. The elevator is traveling upward at a rate of 2.00 m/s^2. The reading on the scale is closed to

Explanation / Answer

frictionless

force along incline plane = mgsin(30) =2*9.81 * 0.5

a = 9.81 / 2 =4.905 m/s2

if friction is there

frictional force = mu*N = mu * mgcos(30)

F = mgsin(30) - mu * mgcos(30)

a = gsin(30) - 0.4 * g * cos(30) =1.50671631555m/s2

apparent weight = m(g+a) =60(2+9.81) =708.6 N

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