For the two blocks initially at rest as shown, under constant external forces their acceleration are, `a_(1)=5m//s^(2)rarr,a_(2)=2m//s^(2)larr`. Which of the following is correct ?

Options

A. Force of friction on 1 due to 2 is 1 N to right.
B. Force of friction on 2 due to 1 is 1 N to right.
C. Force of friction on 2 due to ground is 4 N to right.
D. Force of friction on 2 due to ground is 6 N to right.

Answer

B, C, D

Explanation

w.r.t ground
`vec(v)_(i//g)=2ms ^(-1)hat(j)`
`vec(v)_(f//g)=-4ms ^(-1)hat(i)`
`vec(v)_(f//g)-vec(v)_(i//g)=" at"`
`-6hat(i) = vec(a).4`
`vec(a)=-(3)/(2)hat(i)`
`|vec(v)_(f//g)|^(2)-|v_(f//g)|^(2)=2vec(a).vec(b)`
`16-4=12(-(3)/2).s`
`12 =-3s`
`|s|=4m`
`vec(s)=vec(v)_(i//g)t-(1)/(2)vec(a)t^(2)=0`
`(2vec(v)_(i//g))/(|vec(a)|)=t`
`(2.2)/(3//2)=t`
`t = (8)/(3)s`
w.r.t bell
`v_(f//b)=6ms^(-1)hat(i)`
`v_(f//b)=0`
`vec(v)_(f//b)-vec(v)_(i//b)`=at
`+6hat(i)=a.4`
`a=(3)/(2)ms^(-2)hat(i)`
`v_(f//b)^(2)-v_(f//b)^(2)=-2as`
`2xx(3)/(2)s`
s = 12m