“A horse pulls on a cart. By Newton’s third law of motion, the cart pulls back on
the horse with a force equal to that exerted by the horse on the cart. The sum of
the forces is zero. Therefore it follows that it is not possible for the horse to
accelerate the cart.”
Is this way of thinking argument correct? Explain fully.

Question

16-08-2014
Physics

Answered

“A horse pulls on a cart. By Newton’s third law of motion, the cart pulls back on
the horse with a force equal to that exerted by the horse on the cart. The sum of
the forces is zero. Therefore it follows that it is not possible for the horse to
accelerate the cart.”
Is this way of thinking argument correct? Explain fully.

Answer :

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AL2006 AL2006 · Answer 1 · 2014-08-16T20:20:45-04:00

In order to see what's going on, let's put them in empty space to get rid of any other influences, and let's also make it a push instead of a pull. / / / The horse pushes on the cart, so it begins accelerating away from him. At the same time, because of the equal opposite reaction thing, the cart pushes back on the horse, so the horse starts accelerating backwards, away from the cart. They both accelerate in opposite directions from where they started. BUT . . . their common center of mass doesn't move, and the sum of their momentums (which are in opposite directions) remains zero.