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Figure shows a light, inextensible strin...

Figure shows a light, inextensible string attached to a cart, which can slide along a frictionless horizontal rail aligned along the x axis. The left end of the string is pulled over a pulley of negligible mass and friction and fixed at height `h=3m` from the ground level. The cart slides from `x_1=3sqrt3m` to `x_2=4m` and during the move, tension in the string is kept constant at `50N`. Find the change in kinetic energy of the cart in joules. (Use `sqrt3=1.3`)

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Displacement of the point A of the string
`sqrt((3sqrt3)^2+(3)^2)-sqrt(4^2+3^2)=6-5=1m`
`DeltaK=` Work done by tension `=50xx1=50J`
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Figure shows a light, inextensible string attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the string is pulled over a pulley, of negligible mass and friction and fixed at height h = 3m from the ground level. The cart slides from x_(1) = 3 sqrt(3) m to x _(2) = 4 m and during to move, tension in the string is kept constant 50 N . Find change in kinetic energy of the cart in joules. (Use sqrt(3) = 1.7) in form of 10 x n , where n= .

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Knowledge Check

  • A mass M is hung with a light inextensible string. Tension in horizontal part of string is.

    A
    `sqrt(3)Mg`
    B
    `sqrt(2)Mg`
    C
    `(mg)/(sqrt3)`
    D
    `(mg)/(2)`

  • Two masses 2 kg and 3 kg are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are

    A
    `(7g)/(8),(g)/(8)`
    B
    `(21g)/(8),(g)/(8)`
    C
    `(21g)/(8),(g)/(5)`
    D
    `(12g)/(5),(g)/(5)`

  • Two masses M and m are connected by a weightless string. They are pulled by a force F on a frictionless horizontal surface. The tension in the string will be

    A
    `(FM)/(m+M)`
    B
    `(F)/(M+m)`
    C
    `(FM)/(m)`
    D
    `(Fm)/(M+m)`
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