Two block A and B of mass `50 kg` and `300 kg` respectively are placed as shown in figure. Coefficient of friction between all surface is `(1)/(2)`
Then (take `g = 10 m//s`)

Options

A. Tension in the string is `2000 N`
B. Tension in the string is `3000 N`
C. Acceleration of block B is `5//3 m//s^(2)`
D. Acceleration of block B is `10//3 m//s^(2)`

Answer

D

Explanation

`{:(500 + (1)/(2) (4)/(5) T = (3)/(5)T _(N),3000 - f_(1) - f_(2) = 300a,),(T = 2500,3000 - (1)/(2)(4)/(5)T - (1)/(2)(4)/(5)T = 3000a,),(,3000 - (4)/(5) 2500 = 300a,),(,3000 - 2000 = 300a,),(,a = (1000)/(300) = (10)/(3) m//s^(2),):}`