Two block of mass `1 kg` and `2 kg` are connected by a string `AB` of mass `1 kg`. The blocks are placed on a smooth horizontal surface. Block of mass `1 kg` is pulled by a horizontal force `F` of magnitude `8 N`. Find the tension in the string at points `A` and `B`

Options

A. (a)4N
B. (b)2N
C. (c)6N
D. (d)8N

Answer

A

Explanation

`a = ("Net pulling force")/("Total mass") = (8)/(1 + 2 + 1)`
`= 2 m//s^(2)`
`T_(B)` `8 - T_(B) = m_(1)a = (1) (2)`
`:. T_(B) = 6 N`
`T_(A) T_(A) = m_(1)a = (2) (2)`
` :. = 4 N`