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`
`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`.