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Work, Energy & Power formula sheet

Every formula in the Work, Energy & Power chapter for JEE Main, with one line on when it applies. Topic 1 is open to everyone; sign in free to read all 30 and download the PDF.

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How we count: 7× asked means 7 past JEE Main questions in the PrepWiser bank needed that formula, and "last" is the latest year one appeared. ★ marks formulas asked 8 or more times.

Work by constant and variable force

Work by a constant force
7× asked, last 2026
W=F⃗⋅d⃗=Fdcos⁡θ,d⃗=r⃗2−r⃗1W=\vec F\cdot\vec d=Fd\cos\theta,\qquad \vec d=\vec r_2-\vec r_1
d⃗\vec d = displacement of the point of application. "dd along a⃗\vec a": d⃗=d a^\vec d=d\,\hat a.
Work by gravity
5× asked, last 2024
Wg=−mg Δh=mg(hi−hf),U=mghW_g=-mg\,\Delta h=mg(h_i-h_f),\qquad U=mgh
Near Earth; path does not matter. Slow lifting: agent does −Wg-W_g.
Work by kinetic friction
4× asked, last 2026
Wf=−μkNs,N=mg−Fsin⁡θW_f=-\mu_kNs,\qquad N=mg-F\sin\theta
ss = path length; pull at θ\theta above horizontal. Static friction can do positive work.
Variable force in one dimension
12× asked, last 2025
W=∫x1x2F(x) dx=area under F–xW=\int_{x_1}^{x_2}F(x)\,dx=\text{area under }F\text{–}x
Area below the axis counts negative. F=−kxF=-kx from x1x_1 to x2x_2: W=−k(x22−x12)/2W=-k(x_2^2-x_1^2)/2.
Variable force in 2D or 3D
3× asked, last 2025
W=∫(Fx dx+Fy dy+Fz dz)W=\int\left(F_x\,dx+F_y\,dy+F_z\,dz\right)
Along the actual path. Conservative (path-free) if ∂Fx/∂y=∂Fy/∂x\partial F_x/\partial y=\partial F_y/\partial x.

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Practise Work, Energy & Power

25 more formulas in 5 topics

Work–energy theorem, Conservative forces and potential energy, Spring potential energy, Conservation of mechanical energy and Power. Read the first part free. Sign in free with Google to read the rest and download the PDF.

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Work–energy theorem

  • Work–energy theorem14×
  • Body sinking into sand or mud
  • Work from v(x)v(x) or x(t)x(t)6×
  • Non-conservative work6×
  • Kinetic energy and momentum9×

Conservative forces and potential energy

  • Conservative force4×
  • Force from potential energy2×
  • Equilibrium and stability3×
  • Equilibrium of U=a/rn−b/rmU=a/r^n-b/r^m
  • Reading a UU–xx graph1×

Spring potential energy

  • Spring force and energy6×
  • Work by a spring
  • Cutting and combining springs
  • Spring between two blocks
  • Body falling onto a spring2×

Conservation of mechanical energy

  • Conservation of mechanical energy7×
  • Connected bodies over a pulley1×
  • Vertical circle4×
  • Chain on a table1×

Power

  • Power7×
  • Lift and pump5×
  • Efficiency
  • Conveyor belt2×
  • Motion at constant power7×
  • Units2×

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About 100 past JEE Main questions from this chapter, with instant answer checking and step-by-step solutions where available. Free, and you can start without signing up.

Practise Work, Energy & Power

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