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A body of mass 2.9 kg is suspended from a string of length 50 cm and is at rest. Another body of mass 100 g, which is moving horizontally with a velocity of 150 ms ^-1 strikes and sticks to it.
(a) What is the tension in the string when it makes an angle of 60^o with the vertical ?
(b) Will it complete a vertical circle ?

Chemistry

Complete the following reaction

(CH₃CO)₂O

CH₃COOH + ......................

Mathematics

Let S denote the sum of all the values of

for which the system of equations
(1 +

)x₁ + x₂ + x₃ = 1
x₁ + (1 +

)x₂ + x₃ =

x₁ + x₂ + (1 +

)x₃ =

²
is inconsistent. Find |S|.

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