Table of Contents
What is the derivation for work?
Work (physics)
| Work | |
|---|---|
| SI unit | joule (J) |
| Other units | Foot-pound, Erg |
| In SI base units | 1 kg⋅m2⋅s−2 |
| Derivations from other quantities | W = F ⋅ s W = τ θ |
How do you derive MGH?
If the force is the gravitational weight of a mass m and g is the acceleration due to gravity, the weight is equal to mg. If this is lifted by a vertical distance h, in other words a distance h along the line of action of the weight mg, then V = mgh.
How is work equal to MGH?
Let us calculate the work done in lifting an object of mass m through a height h, such as in Figure 1. If the object is lifted straight up at constant speed, then the force needed to lift it is equal to its weight mg. The work done on the mass is then W = Fd = mgh.
Why work is equal to MGH?
Gravitational force is conservative force. So, Work done = mgh(gravitational potential energy). Because they both represent the same thing, which is energy. So, when that energy changes form, you make them equal to each other.
How do you derive W?
Work Formula
- Transfer of Energy. When we do work we transfer energy from one object to another. Also, work links with expansion and contraction of gases.
- Formula for Work. Work = Force × Distance × Cosine (refers to the angle between movement direction and force) W = F × d × cosθ
- Derivation of Work Formula. W = work done.
What is W in W MGH?
W = mgh. Where, W = work done. g = acceleration due to gravity. h = height of free fall. If the angle between gravitational force and direction of motion is 𝚹, then work done due to gravity is given by.
Is the equation w MGH is correct?
Answer: The equation is correct. The Left hand side equal to right hand side.
What is W MGH?
How do you derive work energy theorem?
Work Energy Theorem Derivation
- According to the equations of motion, v2 = u2 + 2as.
- We can also write the above equation as, v2 – u2 = 2as.
- By multiplying both sides of the equation by m/2, we get:
- Hence, the above equation can be written as;
- This changes the equation to:
- ΔK = W.
- Thus equation (i) becomes.