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 $0 . 05 .$ ( $g = 10m{s}^{- 2},$ mass of the string is negligible and no other friction exists).

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

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Correct answer: A. 1.25 ms^ -2

First, make the free body diagram,
Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction

here, the equation, the relation between tension and acceleration, $20 = 2a + T . . \left(1\right) \text{ and } T = 10a + 5 . . \left(2\right) ⇒ 20 = 2a + 10a + 5 ⇒ 12a = 15 ⇒ a = \dfrac{15}{12} = 1 . 25m{s}^{- 2}$

Calculate the acceleration of the block and trolly system shown in...

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