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Boss lesson · The Drop Tower
Exam-hall rules, top of the tower
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Exam-hall rules, top of the tower

This is the boss. No calculator: gg rounds to 10 and every number is chosen to fit in your head, the way a well-set final always is. One ride, worked line by line, and every answer feeds the next: write them down as you go.

The whole chapter rides along — energy banked by height, cashed as speed, taxed by the brakes, and re-banked by the winch against the clock. 5★ under par here is the chapter crown. Enjoy the drop.

mhU

U=mghU = m g h

  • UU= Potential energy (energy)
  • mm= Mass (mass)
  • hh= Height (length)
Gravitational Potential Energy (U = mgh) solver →
mvKE

Ek=12mv2E_k = \tfrac{1}{2} m v^{2}

  • EkE_k= Kinetic energy (energy)
  • mm= Mass (mass)
  • vv= Speed (speed)
Kinetic Energy solver →
mv0vW

W=12m(v2−v02)W = \tfrac{1}{2} m \left(v^{2} - v_0^{2}\right)

  • WW= Net work (energy)
  • mm= Mass (mass)
  • vv= Final speed (speed)
  • v0v_0= Initial speed (speed)
Work–Energy Theorem solver →

P=WtP = \frac{W}{t}

  • PP= Power (power)
  • WW= Work or energy (energy)
  • tt= Time (time)
Power (P = W/t) solver →
no calculator in the boss room — the numbers are chosen to fit in your head