five persons A,B,C,D,E are pulling the cart of mass 100 kg on a smooth surface and cart is moving with acceleration of 3m/sq in east direction. when person A stops pulling it moves with acceleration of 1m/sq in west direction. When person B stops pulling, it moves with acceleration of 24m/sq in north direction. The magnitude of acceleration of the cart when only A and B pulls the cart keeping their direction same as the old direction is:

Question

Arun Kumar · Answer

do it with vector sum

assume east = positive i

west = negative i

north postive j

south negative j

a+b+c+d+e=-3i

b+c+d+e=-i

a+c+d+e=24j

find a using eq 1 and 2 and b using eq1 and eq 3

sum them vectorially

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