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When a conservative force does positive ...

When a conservative force does positive work on a body, the potential energy of the body

A

Increases

B

Decreases

C

Remains unaltered

D

Can't say

Text Solution

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The correct Answer is:
To solve the question, "When a conservative force does positive work on a body, what happens to the potential energy of the body?", we can analyze the relationship between work done by conservative forces and potential energy. ### Step-by-Step Solution: 1. **Understanding Conservative Forces**: - A conservative force is one where the work done by the force on an object moving from one point to another is independent of the path taken. Common examples include gravitational and elastic (spring) forces. 2. **Work Done by Conservative Forces**: - When a conservative force does positive work on an object, it means that the force is acting in the direction of the displacement of the object. This typically results in the object gaining kinetic energy. 3. **Relationship Between Work and Potential Energy**: - The work-energy principle states that the work done by a force on an object is equal to the change in kinetic energy of that object. For conservative forces, the work done is also related to the change in potential energy. - Mathematically, this can be expressed as: \[ W = \Delta KE + \Delta PE \] - Where \( W \) is the work done, \( \Delta KE \) is the change in kinetic energy, and \( \Delta PE \) is the change in potential energy. 4. **Analyzing Positive Work**: - If the conservative force (like gravity) does positive work, it implies that the object is moving to a position of lower potential energy. For example, if an object falls under the influence of gravity, it moves downward, and gravity does positive work on it. 5. **Conclusion on Potential Energy**: - Therefore, when a conservative force does positive work on a body, the potential energy of the body **decreases**. This is because the energy is being converted into kinetic energy or some other form of energy. ### Final Answer: When a conservative force does positive work on a body, the potential energy of the body **decreases**.
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Underline the correct alterntaive: a) when a conservative force does positivie work on a body, the potential energy of the body increase/decreases/remains unaltered. work done by a body against friction always results in a loss of its kinetic /potential energy. c) The rate of change of total momentum of a many-particle system is proportional to the external force/ sum of the internal forces on the system. d) In an inelastic collision of two bodies, the quantities which do not change after the collision are the total kinetic energy/total linear momentum/total enregy of the system of two bodies.

Potential energy of a body in position A is-40J. Work done by conservative force in moving the body from A to B is -20J . Find potential energy of the body in position B.

Knowledge Check

  • When a conservation force does positive work on a body, then the

    A
    Potential energy of body increases
    B
    Potential energy of body decreases
    C
    Total mechanical energy of body increases
    D
    Total mechanical energy of body decreases

  • STATEMENT-1 When a conservative force performs positive work on a body, potential energy of the system decreases. STATEMENT-2 Work done by a conservative force does not produce any change in kinetic energy.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-5
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-5
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True

  • When shearing force is applied on a body, then the elastic potential energy is stored in it. On removing the force, this energy

    A
    Converts into kinetic energy
    B
    Coverts into heat energy
    C
    Remains as potential energy
    D
    None of the above

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    Explore conceptually related problems

    if work done by a conservative force is positive the select the correct option(s). (a) potential energy will decrease. (b) potential energy may increase or decrease. (c )kinetic energy will increase. (d) kinetic energy may increase or decrease.

    Can work done by a non - conservative force be positive ?

    A : The potential energy of a system increases when work is done by conservative force. R : Kinetic energy can change into potential energy and vice-versa.

    Assertion: Frection is a conservative force. Reason: Fraction does not depend upon mass of the body.

    S_(1): If the internal forces within a system are conservative, then the work done by the external forces on the system is equal to the change in mechanical energy of the system. S_(2): The potential energy of a particle moving along x- axis in a conservative force field is U=2x^(2)-5x+1 is S.I. units. No other forces are acting on it. It has a stable equalibrium position at one point on x- axis. S_(3) : Internal forces can perform net work on a rigid body. S_(4) : Internal forces can perform net work on a non - rigid body.

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