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What is the work done by centripetal f...

What is the work done by centripetal force in moving a body through half of the cycle ?

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To solve the question, "What is the work done by centripetal force in moving a body through half of the cycle?" we can follow these steps: ### Step 1: Understand the Concept of Work Done Work done (W) by a force is defined as the dot product of the force (F) and the displacement (dS) of the point of application of the force. Mathematically, it is expressed as: \[ W = \int F \cdot dS \] ### Step 2: Identify the Direction of Forces and Displacement In circular motion, the centripetal force always acts radially inward towards the center of the circle. On the other hand, the displacement of the body moving along the circular path is tangential to the circle. ...
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Knowledge Check

  • A body of mass m is movinng in a circlee off radius r with a constant speed v. the work done by the centripetal force in moving the body over half the circumference of the circle is

    A
    `mv^(2)//r`
    B
    zero
    C
    `mv^(2)//r`
    D
    `r^(2)//mv^(2)`

  • A body of mass m is moving in a circle of radius r with a constant speed v, The force on the body is (mv^(2))/(r ) and is directed towards the centre. What is the work done by the force in moving the body over half the circumference of the circle?

    A
    `(mv^(2))/(pi r^(2))`
    B
    zero
    C
    `(mv^(2))/(r^(2))`
    D
    `(pi r^(2))/(mv^(2))`

  • A body constrained to move in Y direction, is subjected to a force given by vec(F) = (-2hat(i) + 15hat(j) + 6hat(k)) N. What is the work done by this force is moving the body through a distance of 1 m along Z axis?

    A
    190 j
    B
    60 j
    C
    150 j
    D
    20 j

    • Similar Questions

    Explore conceptually related problems

    What is work done by centripetal force in moving on body half-cycle on a circular path of radius 30m?

    A body constrained to move in y direction is subjected to a force given by vec(F)=(-2hat(i)+15hat(j)+6hat(k)) N . What is the work done by this force in moving the body through a distance of 10 m along y-axis ?

    A body constrained to move in z direction is subjected to a force given by vecF=(3hatj-10hatj+5hatk)N. What is the work done by this force in moving the body through a distance of 5 m along z-axis?

    A rigid body of mass m is moving in a circle of radiusr with a constant speed v. The force on the body is (mv^2)/(r) and is directed towards the centre, What is the work done by force in moving the body over half the circumference of the circle.

    A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is (mv^(2))/(r ) centre. What is the work done by this force in moving the body over half the circumference of the circle

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