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)`
For the system,
`2T-(m+M)g=(m+M)a`
`2T=(m+M)(g+a)`
where, `m=100kg`
`M=50kg`
`a=5(m)/(sec^2)`
`T=(150xx15)/(2)=1125N`
and `R=375N`