Answer
Verified
105.9k+ views
Hint We should know that the work-energy theorem gives us an idea that the net work done by the forces on an object which is equal to the change in the kinetic energy of the body. Based on this theorem we have to answer this question.
Complete step by step answer
We should know that the expression for the diagram is given as:
${({W_{all}})_{system}} = {(\Delta K)_{system}}$
Now the expression is evaluated as:
${({W_g})_{sys}} + {({W_T})_{sys}} = {(\Delta K)_{sys}}$
In this case,
${({W_T})_{sys}} = 0$
So, the expression now is given as:
${m_2}gx - {M_1}gx = \dfrac{1}{2}({M_1} + {M_2}){V^2} - 0......(i)$
So, the value of V after the evaluating is given as:
$V = \sqrt {\dfrac{{2({M_2} - {M_1})gx}}{{{M_1} + {M_2}}}}$
So, the correct answer is Option B.
Note From the work-energy theorem we get an idea that the new work that is occurring on the object will cause a change in the kinetic energy of the object. The main formula is given as net work equals the change in the kinetic energy which is also similar to the difference between final kinetic energy and the initial kinetic energy.
Complete step by step answer
We should know that the expression for the diagram is given as:
${({W_{all}})_{system}} = {(\Delta K)_{system}}$
Now the expression is evaluated as:
${({W_g})_{sys}} + {({W_T})_{sys}} = {(\Delta K)_{sys}}$
In this case,
${({W_T})_{sys}} = 0$
So, the expression now is given as:
${m_2}gx - {M_1}gx = \dfrac{1}{2}({M_1} + {M_2}){V^2} - 0......(i)$
So, the value of V after the evaluating is given as:
$V = \sqrt {\dfrac{{2({M_2} - {M_1})gx}}{{{M_1} + {M_2}}}}$
So, the correct answer is Option B.
Note From the work-energy theorem we get an idea that the new work that is occurring on the object will cause a change in the kinetic energy of the object. The main formula is given as net work equals the change in the kinetic energy which is also similar to the difference between final kinetic energy and the initial kinetic energy.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
Write an article on the need and importance of sports class 10 english JEE_Main
Name the scale on which the destructive energy of an class 11 physics JEE_Main
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
Choose the one which best expresses the meaning of class 9 english JEE_Main