Laws of MotionHard
Question
Five persons A, B, C, D & E are pulling a cart of mass 100 kg on a smooth surface and cart is moving with acceleration 3 m/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 & B pull the cart keeping their directions same as the old directions, is :
Options
A.26 m/s2
B.3√71 m/s2
C.25 m/s2
D.30 m/s2
Solution
A + B + C + D + E = 300 i ..........(1)
B + C + D + E = − 100 i ................... (2)
A + C + D + E = 2400 j ................... (3)
equation (1) - equation (3) give
B = 300 i − 2400 j ..............................(4)
equation (1) - equation (2) give
A = 400 i ........................................ (5)
Adding equation (4) and (5)
⇒ A + B = 700 i − 2400 j
a(A + B) =
= 7 i − 24 j = 25 m/s2
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