Question:
If work done on a body is positive, then what will be the sign of kinetic energy?
If work done on a body is positive, then what will be the sign of kinetic energy?
Updated On: Apr 3, 2025
- Increase
- Decrease
- Zero
- Either increase or decrease
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The Correct Option is A
Solution and Explanation
If the work done by a force on a body is positive, then its kinetic energy increases. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. When the work done is positive, it means that the force applied to the object is in the same direction as its motion, and thus the force is doing work on the object to increase its kinetic energy.
Mathematically, the work-energy theorem can be expressed as:
Work = Change in Kinetic Energy
If the work done (W) is positive, then the change in kinetic energy (ΔKE) is also positive. This indicates that the object's kinetic energy has increased, which means it has gained speed or motion as a result of the force applied to it.
It's important to note that the work done on a body is the net work, which takes into account all the forces acting on the object. If there are multiple forces acting on the body, the net work done by all the forces will determine the change in its kinetic energy.
Mathematically, the work-energy theorem can be expressed as:
Work = Change in Kinetic Energy
If the work done (W) is positive, then the change in kinetic energy (ΔKE) is also positive. This indicates that the object's kinetic energy has increased, which means it has gained speed or motion as a result of the force applied to it.
It's important to note that the work done on a body is the net work, which takes into account all the forces acting on the object. If there are multiple forces acting on the body, the net work done by all the forces will determine the change in its kinetic energy.
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Concepts Used:
Work, Energy and Power
Work:
- Work is correlated to force and the displacement over which it acts. When an object is replaced parallel to the force's line of action, it is thought to be doing work. It is a force-driven action that includes movement in the force's direction.
- The work done by the force is described to be the product of the elements of the force in the direction of the displacement and the magnitude of this displacement.
Energy:
- A body's energy is its potential to do tasks. Anything that has the capability to work is said to have energy. The unit of energy is the same as the unit of work, i.e., the Joule.
- There are two types of mechanical energy such as; Kinetic and potential energy.
Read More: Work and Energy
Power:
- Power is the rate at which energy is transferred, conveyed, or converted or the rate of doing work. Technologically, it is the amount of work done per unit of time. The SI unit of power is Watt (W) which is joules per second (J/s). Sometimes the power of motor vehicles and other machines is demonstrated in terms of Horsepower (hp), which is roughly equal to 745.7 watts.
- Power is a scalar quantity, which gives us a quantity or amount of energy consumed per unit of time but with no manifestation of direction.