THE PRACTICE STUDIO

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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Work by a variable force

An area becomes kinetic energy

A 2 kg cart starts from rest. Along its motion from x = 0 to x = 2 m, the net force is F = 6x N when x is in metres.

Find its final speed.

Organize the givens & assumptions
  • m = 2 kg
  • F(x) = 6x N
  • 0 ≤ x ≤ 2 m

Net force F = 6x in SI; straight horizontal motion; cart starts at rest; force law applies from 0 to 2 m.

  1. A23 m s−12\sqrt3\ \mathrm{m\,s^{-1}}
  2. B24 m s−1\sqrt{24}\ \mathrm{m\,s^{-1}}
  3. C12 m s−112\ \mathrm{m\,s^{-1}}
  4. D6 m s−1\sqrt6\ \mathrm{m\,s^{-1}}

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