Work & Energy
Physics
Intro: Mechanical work with angle; kinetic and potential energy formulas.
Worked example
- $F=10 N, d=3 m, angle=0°$
- Inputs: $F=10\,\mathrm{N}$, $d=3\,\mathrm{m}$, $\theta=0^\circ$.
- Cosine: $\cos0^\circ=1$.
- Compute: $W=Fd\cos\theta=10\cdot3\cdot1=30\,\mathrm{J}$.
- Answer: $\boxed{W=30\,\text{J}}$.
FAQs
Negative work?
Occurs when the angle between F and d exceeds 90°.
Why choose Mathix?
- Get clear, step-by-step solutions that explain the “why,” not just the answer.
- See the rules used at each step (power, product, quotient, chain, and more).
- Optional animated walk-throughs to make tricky ideas click faster.
- Clean LaTeX rendering for notes, homework, and study guides.
How this calculator works
- Type or paste your function (LaTeX like
\sin,\lnworks too). - Press Generate a practice question button to generate the derivative and the full reasoning.
- Review each step to understand which rule was applied and why.
- Practice with similar problems to lock in the method.