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A \( 10-\mathrm{kg} \) block rests on a \( 5-\mathrm{kg} \) bracket as shown in figure. The \( 5 \mathrm{~kg} \) bracket rests on a horizontal frictionless surface. The coefficients of friction between the \( 10 \mathrm{~kg} \) block and the bracket on which it rests are \( \mu_{s}=0.40 \) and \( \mu_{k}=0.30 \)
If \( 10 \mathrm{~kg} \) block does not slide on the bracket, the corresponding acceleration of the \( 5 \mathrm{~kg} \) bracket is
(1) \( 1.6 \mathrm{~m} \mathrm{~s}^{-2} \)
(2) \( 0.8 \mathrm{~m} \mathrm{~s}^{-2} \)
(3) \( 1.2 \mathrm{~ms}^{-2} \)
(4) \( 2.4 \mathrm{~m} \mathrm{~s}^{-2} \)
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