A) \[1\,m/{{s}^{2}}\]
B) \[2\,\,m/{{s}^{2}}\]
C) \[0.4\,\,m/{{s}^{2}}\]
D) \[4\,\,m/{{s}^{2}}\]
Correct Answer: B
Solution :
Let a be acceleration in the masses and T be the tension in the string. The equations of motion are \[{{m}_{2}}=g-T={{m}_{2}}\,a\] ?. (i) \[T-{{m}_{1}}\,g\,={{m}_{1}}\,a\] ... (ii) From Eqs. (i) and (ii), we get \[a=\frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}}g\] Given, \[{{m}_{2}}=60g,\,{{m}_{1}}=40\,g,\,g=10\,m/{{s}^{2}}\] \[\therefore \] \[a=\frac{60-40}{(60+40)}\times 10=2\,m/{{s}^{2}}\].You need to login to perform this action.
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