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Lesson 10 · Choosing the force tool
Now something has a mass
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Now something has a mass

All through kinematics, F=maF = ma sat in the option deck as a trap — nothing had a mass, so it never applied. That diagnosis just flipped. Read aloud: F equals m a — the net force on a thing is its mass times the acceleration it gets. Letter by letter: FF is the net force in newtons, mm the mass in kilograms, and aa the acceleration in m/s2\mathrm{m/s^2}; whichever one the question leaves blank is the one you solve for. Its quieter cousin is W=mgW = mg (W equals m g): the pull gravity puts on a mass, where WW is the weight in newtons, mm is that same mass in kilograms, and g=9.8 m/s2g = 9.8\ \mathrm{m/s^2} is the acceleration Earth hands out for free.

The sorting question is the same as ever: what does the story GIVE you? A mass accelerating wants F=maF = ma. A mass hanging, sitting or pressing wants W=mgW = mg. And steady motion with a distance and a time still belongs to last chapter's v=dtv = \dfrac{d}{t} — speed vv in m/s, distance dd in metres, time tt in seconds — because moving to a new chapter never uninvents the old tools.

mFa

F=maF = m a

  • FF= Force (force)
  • mm= Mass (mass)
  • aa= Acceleration (acceleration)
Newton's Second Law solver →
mW

W=mgW = m g

  • WW= Weight (force)
  • mm= Mass (mass)
Weight (W = mg) solver →
vtd

v=dtv = \tfrac{d}{t}

  • vv= Speed (speed)
  • dd= Distance (length)
  • tt= Time (time)
Speed, Distance & Time solver →