Three blocks P,Q and R of masses 5 kg, 4 kg and 3kg respectively are connected by a light inextensible string and they are moved on a smooth horizontal plane. If a force of 24 N is applied to the string connected to R , tensions `T_(1) and T_(2)` in the string are

(1) 20 N, 5N (2) 5N, 20 N
(3) 10 N, 18 N (4) 18 N, 10 N

Explanation

Answer (4)
Acceleration of blocks ,
`a = (" Net accelerating force")/
("Total mass")`
` = (24 N)/((5+4+3)kg)`
` 2 m//s^(2)`
` T_(1) " is accelerating force for "(5+4)`kg , so
` T_(1) = ( 5+4) a = 18 N `
` T_(2)` is accelerating force for 5 kg ,so
` T_(2) = 5a = 10 N `