A painter is applying force himself to raise him and the box with an acceleration of `5(m)/(s^2)` by a massless rope and pulley arrangement as shown in figure. Mass of painter is 100 kg and that of box is 50 kg. If `g=10(m)/(s^2)`, then:

Options

A. tension in the rope is `1125 N`
B. tension in the rope is `2250 N`
C. force of contact between the painter and the floor is `375 N`
D. None of these

Answer

A, C

Explanation

For painter
`R + T - mg = ma` ltbRgt `r + t = m(g + a)`….(1)
For the system ,
`2T - (m + M)g - (m + M)a`
`2T = (m+M)(g+a)….(2)`
where, `m = 100 kg`
`M = 50 kg`
`a = 5 m//sec ^(2)`
`:. T = (150 xx 15)/(2) = 1125 N`
and , `R = 375 N`.