The variation of speed of a train (consisting of an engine and 10 identical passenger coaches each of mass `3 xx 10^(3) kg` ) with respect to time is as given below. Find the tension in the coupling link connecting engine and the first coach at `t = 1 sec`.

Options

A. `180 xx 10^(3) N`
B. `120 xx 10^(3) N`
C. `60 xx 10^(3) N`
D. `30 xx 10^(3) N`

Answer

C

Explanation

at `t = 1 sec`
`a = 2 m//s^(2)`
`T = N (ma) = 10 (3 xx 10^(3)) (+2)`
`= + 60 xx 10^(3) N`