Five persons A, B, C, D and E are pulling a cart of mass 100kg on a smooth surface and cart is moving with acceleration of 3 m / s 2 in east direction. When person Astops pulling, it moves with accele

Question

Five persons A, B, C, D and E are pulling a cart of mass 100kg on a smooth surface and cart is moving with acceleration of $3 m / s^{2}$ in east direction. When person Astops pulling, it moves with acceleration $1 m / s^{2}$ in the west direction. When person B stops pulling, it moves with acceleration 24 m / s $^{2}$ 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:

Answer:

D

Solution:

$F_{A} + F_{B} + F_{C} + F_{D} = 100 \times 3 \hat{i} F_{B} + F_{C} + F_{D} = - 100 \times 1 \hat{i} F_{A} + F_{C} + F_{D} = 100 \times 24 \hat{j} from (1), (2) & (3)$

get $F_{A} + F_{B} = 700 \hat{i} - 2400 \hat{j} = ma$

TestHub · Accepted Answer

​ F A ​ + F B ​ + F C ​ + F D ​ = 100 × 3 i ^ ​ F B ​ + F C ​ + F D ​ = − 100 × 1 i ^ ​ F A ​ + F C ​ + F D ​ = 100 × 24 j ^ ​ ​ from (1), (2) & (3) ​ get F A ​ + F B ​ = 700 i ^ − 2400 j ^ ​ = ma

Physics - NLM Question with Solution | TestHub

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