Answer to Question #28405 in Other Physics for Abhipsa Banerjee
a) 1.5R b)2.5R c)4.5R d)7.5R
Thus, the acceleration of the smaller body will be a = F/Mand of the bigger, respectively, A = F/5M.
Until the collision, the smaller body will travel s =a*t^2/2 and the bigger one S = A*t^2/2.
The criterion of the collision is s + S + R + 2R = 12R.
Thus, from this system we'relooking for s.
We can find a proportion between s and S.
S = s*A/a = s*(F/5M)/(F/M) =s/5.
s*6/5 = (12-1-2)*R = 9R;
s = R*9*5/6 = R*15/2 = 7.5R.
Answer: d, 7.5*R.
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