Question

In the figure. (m_2) (ltm_(1))` are joined together by a pulley. When the mass `(m_(1))` is released from the height `h` above the floor, it strikes the floor with a speed .

A. `sqrt(2gh((m_(1)-m_(2))/(m_(1)+m_(2))))`
B. `sqrt(2gh)`
C. `sqrt((2m_(2)gh)/(m_(1)+m_(2)))`
D. `sqrt((2m_(1)gh)/(m_(1)-m_(2)))`

Answer 1

Correct Answer - A
`E_(i)=E_(f)`
`0=m_(2)gh-m_(1)gh +1/2(m_(1)+m_(2))v^(2)`
`:. v=sqrt(2gh((m_(1)-m_(2))/(m_(1) + m_(2))))`