Equal force is applied on the carts carrying blocks as shown in the figure. Which of the carts will gain maximum speed after a time of 60 seconds.

Cart 1

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Cart 2

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Cart 3

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Cart 4

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All four carts will have the same velocity.

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Solution

The correct option is E All four carts will have the same velocity.
From Newton's second law, $F = m a$
As all carts have same mass $m = 4 k g$ so they will have same acceleration.
We assume all carts initially are at rest. So using formula, $v = u + a t$ where $u = 0$ . Thus, $v = a t$
As all have same a and t so they have same velocity.

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