Work Energy AND Power formulas

Every formula JEE Advanced expects you to know for Work Energy AND Power, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

Practise these formulas 619 practice questions

Formulas: 28
Subject: Physics
Exam: JEE Advanced
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Work Energy AND Power, every formula

28 formulas, typeset and free. Print it, or keep it open beside your practice.

Work by a constant force
$W = F \cdot S = F S cos θ$
Work by a variable force
$W = \int F \cdot d s$
Kinetic energy
$K = \frac{1}{2} m v^{2}$
KE–momentum relation
$K = \frac{p ^{2}}{2 m}$
Momentum from KE
$p = 2 m K$
Work–energy theorem
$W_{n e t} = Δ K = K_{f} - K_{i}$
Potential energy
$U = - \int_{\infty}^{r} F \cdot d r = - W$
Conservative force from PE
$F = - \frac{d U}{d r}$
Gravitational PE
$U = m g h$
Elastic (spring) PE
$U = \frac{1}{2} k x^{2}$
Conservation of mechanical energy
$K + U = constant$
conservative forces only
Change in PE
$Δ U = - W_{c}$
Average power
$P_{a v g} = \frac{W}{t}$
Instantaneous power
$P = \frac{d W}{d t} = F \cdot v$
Work by gravity
$W = - m g Δ h$
rising
Work by a spring
$W = - \frac{1}{2} k x^{2}$
Work by friction
$W = - f d$
Stable equilibrium
$\frac{d U}{d x} = 0, \frac{d ^{2} U}{d x ^{2}} > 0$
Unstable equilibrium
$\frac{d U}{d x} = 0, \frac{d ^{2} U}{d x ^{2}} < 0$
Neutral equilibrium
$\frac{d U}{d x} = 0, \frac{d ^{2} U}{d x ^{2}} = 0$
Conservative force (curl)
$\nabla \times F = 0$
Horsepower
$1 HP = 746 W$
Work as area
$W = area under the F - x graph$
KE is non-negative
$K \geq 0$
Modified work–energy theorem
$W_{N C} + W_{P S} = Δ E$
Power–velocity (constant P)
$P = F v$
Efficiency
$η = \frac{output}{input}$
Work done in a round trip (conservative)
$\oint F \cdot d r = 0$

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Work Energy AND Power formulas

Work Energy AND Power, every formula

Work by a constant force

Work by a variable force

Kinetic energy

KE–momentum relation

Momentum from KE

Work–energy theorem

Potential energy

Conservative force from PE

Gravitational PE

Elastic (spring) PE

Conservation of mechanical energy

Change in PE

Average power

Instantaneous power

Work by gravity

Work by a spring

Work by friction

Stable equilibrium

Unstable equilibrium

Neutral equilibrium

Conservative force (curl)

Horsepower

Work as area

KE is non-negative

Modified work–energy theorem

Power–velocity (constant P)

Efficiency

Work done in a round trip (conservative)

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