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 `3m//s^(2)` in east direction. When person A stops pullling, it moves with acceleration `24m//s^(2)` in the north direction. The magnitude of acceleration of the cart when only A and B pull the cart keeping their direction, is:A. `26m//s^(2)`B. `3sqrt(71)m//s^(2)`C. `25m//s^(2)`D. `30m//s^(2)`

Five persons A, B, C, D, and E, are pulling a cart of mass 100kg on a

1.	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 `3m//s^(2)` in east direction. When person A stops pullling, it moves with acceleration `24m//s^(2)` in the north direction. The magnitude of acceleration of the cart when only A and B pull the cart keeping their direction, is:A. `26m//s^(2)`B. `3sqrt(71)m//s^(2)`C. `25m//s^(2)`D. `30m//s^(2)`
Answer» Correct Answer - C When all are pulling. `vec(F)_(net)=100xx3hati` . when `A` stop `vec(F)_(net)-vec(F)_(A)=100xx1(-hati)` . when `B` stop `vec(F)_(net)-vec(F)_(B)=100xx24hatj` . from these three get `vec(F)_(a)+vec(F)_(B)=(700hati-2400hatj)N` . Hence, acceleration of the cart, `vec(a)=(vec(F)_(A)+vec(F)_(B))/(m)=((700hati-2400hatj))/(100)m//s^(2)` . `vec(a)=(7hati-24hatj)m//s^(2)implies\|vec(a)\|=sqrt(7^(2)+24^(2))=25m//s^(2)` .

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