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Questions  

Five forces F1,F2,F3,F4 and F5, are acting on a particle of mass 2.0 kg so that it is moving with 4 m/s2 in east direction. If F1 force is removed, then the acceleration becomes 7 m/s2 in north, then the acceleration of the block if only F1 is acting will be 

a
16m/s2
b
65m/s2
c
260m/s2
d
33m/s2

detailed solution

Correct option is B

F→1+F→2+F→3+F→4+F→5=2(4i^)     .......(i)and    F→2+F→3+F→4+F→5=2(7j^)   ........(ii) From (i) and (ii), F→1=8i^−14j^a→1=F→1m=4i^−7j^⇒ a1=16+49=65m/s2

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A block of mass 3 kg rests on a horizontal frictionless xy-plane. What would be the acceleration of the block if it is subjected to two forces as shown in figure?


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