Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic…

Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05. (g=10 m s-2, mass of the string is negligible and no other friction exists).

  1. 1.25 $ms^{-2}$
  2. 1.50 $ms^{-2}$
  3. 1.66 $ms^{-2}$
  4. 1.00 $ms^{-2}$

Solution

First, make the free body diagram, 

here, the equation, the relation between tension and acceleration, 20=2a+T  ..1 & T=10a+5  ..2⇒20=2a+10a+5⇒12a=15⇒a=1512=1.25 m s-2

Asked in: NEET 2020 (Phase 2)

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