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Physics-

General

Easy

Question

A block of mass m is lying on a friction less plane inclined at an angle 30° It is connected to another block of mass m₂ with the help of a string over a pulley. If m₁=3Kg and m₂=4Kg then acceleration of each block is $open parentheses g equals 10 to the power of m end exponent divided by s to the power of 2 end exponent close parentheses$

${0.35}^{m} / s^{2}$
$3.55 m / s^{2}$
${1.35}^{m} / s^{2}$
$0.55 m / s^{2}$

The correct answer is: $3.55 m divided by s to the power of 2 end exponent$

$m subscript 1 end subscript equals 3 k g comma m subscript 2 end subscript equals 4 k g theta equals 30$
$a equals fraction numerator m subscript 2 end subscript minus m subscript 1 end subscript s i n invisible function application theta over denominator m subscript 1 end subscript plus m subscript 2 end subscript end fraction g$
$equals fraction numerator 4 minus 3 s i n invisible function application 3 0 over denominator 2 plus 4 end fraction 10$
$equals fraction numerator 25 over denominator 7 end fraction equals 3.55 m divided by s to the power of 2 end exponent$

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