What do you mean by variable force?
[′ver·ē·ə·bəl ′fȯrs] (mechanics) A force whose direction or magnitude or both change with time.
How do you calculate work done if the force acting on a body is variable?
Work = Force × Displacement in the direction of force. Hence the applied force on the body is 1 Newton and body is displaced 1 meter due to this force, then the work is said to be one joule.
What is work done by a variable force Class 11?
Work done by a variable force. Work done by a variable force. The variable force is more commonly encountered than the constant force. If the displacement Dx is small, we can take the force F (x) as approximately constant and the work done is then. DW =F (x) Dx.
What is Work energy theorem for variable force?
It states that the work done by the net force acting on a body is equal to the changed produced in kinetic energy of the body. Let F be the variable force. ∴ Work done by this variable force , W=∫xixfF⋅dx.
What is work done by a constant and variable force?
In physics, work is said to be done by a force or against the direction of the force, when the point of application of the force moves towards or against the direction of the force. If no displacement takes place, no work is said to be done.
What is the formula of work-energy theorem?
Equations
| Equation | Meaning in words |
|---|---|
| W net = K − K 0 = Δ K \begin{aligned}W_{\text {net}} &= K – K_0 \\&= \Delta K\end{aligned} Wnet=K−K0=ΔK | The net work on an object is equal to the object’s final kinetic energy minus the initial kinetic energy. |
What is the statement of work-energy theorem?
The work energy theorem states that the work done by the net force on a body is equal to change in kinetic energy.
What do you mean by the variable force derive the expression for work done by variable force?
Just as you can derive the work for a variable force using calculus, you can do the same for work done by a constant force. In such a calculation, pressure remains unchanged, which is why you can take it out of the equation immediately. Work = P∫ba dV.
What is work done by a constant force?
The work W done on an object by a constant force is defined as W = F·d. It is equal to the magnitude of the force, multiplied by the distance the object moves in the direction of the force.
Is work-energy theorem applicable for variable force?
Hence, the work-energy theorem is proved for the variable force as well.
What is zero work done?
ZERO WORK:The work done is said to be zero work when force and displacement are perpendicular to each other or when either force or displacement is zero. example: When we hold an object and walk,the force acts in downward direction whereas displacement acts in forward direction.
Is work done by a constant force path independent?
Work done by a constant force is path independent.
What is work done theorem?
The work-energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.
What is work done by a force?
Calculating work done To calculate the work done on an object when a force moves it, use the equation: work done = force × distance. This is when: work done is measured in joules (J) force is measured in newtons (N)
Can work done be negative?
Work done by a force applied on a body is: When the direction of motion of the body and the force acting in the same direction, work done is positive. When the direction of motion of the body and the force acting on the body is opposite, work done is negative.
How do I calculate the work done by a force?
Clamp a rector stand with a metre rule held vertically beside it.
How to calculate work done?
+ve work done
What is the work done by the different forces?
When a force F acts on an object over a displacement S, it is said to have done work on the object. Physically, the work done on an object is the change in kinetic energy that that object experiences. Work done by a body is against the applied force if the displacement is in a direction opposite to the force.
How to solve work done by a constant force?
where W is the work, F is the magnitude of the constant force, Δx is the magnitude of the displacement, and Θ is the angle between the force and the displacement vectors. We can also write this as. W = FΔxcos(Θ). (a) We use the work equation to determine the work done by the 60 N force. The force and the displacement vectors are directed in