Laws Of Motion Question 277

Question: Five persons A, B, C, D and E are pulling a cart of mass 100 kg on a smooth surface and cart is moving with acceleration 3m/s2 in east direction. When person A stops pulling, it moves with acceleration 1m/s2 in the west direction. When person B stops pulling, it moves with acceleration 24 m/s2 in the north direction. The magnitude of acceleration of the cart when only A and B pull the cart keeping their directions same as the old directions, is

Options:

A) 24 m/s2

B) m71m/s2

C) 30 m/s2

D) 25 m/s2

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Answer:

Correct Answer: D

Solution:

[d] When all are pulling

Fnet=100×3i^..(i)

When A stops FnetFA=100×1(i^).(ii)

From these three we get FA+FB=100(7i^24j^)

Required accn=72+(24)2=25 m/m2



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