Figure shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with l`1 ms^(-2)` . The net force on the man, if the coefficient of static friction between the man's shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt
(mass of the man-65kg)

Explanation

Here, acceleration of conveyer belt,
`a=1m//s^(2)`
As the man is standing stationary w.r.t the belt, acceleration of the man = acceleration of belt `=a=1 m//s^(2)`
As m = 65 kg
`therefore` Net force on the man, `F = ma=65xx1=65N`.
Now, `mu = 0.2`
Force of limiting friction `F = mu R = mu mg`
If the man remain stationary up to max. acc. a of the belt, then `F = ma^(1)=mu mg`
`a^(1)=mu g=0.2xx9.8=1.96 ms^(-2)`.