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The drag force acting on a car travelling at a speed v is given by the equation F=kAv^2
Where A is the area of the front of the car.
Show that a suitable unit for the quantity k is kgm-3.
Mark scheme answer:
F= kgms-2
or
A=m2
V=ms-1

Which is K=kgm-3

I am confused could someone show the working out clearly involving all steps and equations used.
Please help.

  • As physics -

    F = mass * acceleration

    so
    kg m/s^2 or Newtons = Force units

    kg m/s^2 = kunits * m^2 *m^2/s^2
    or
    k units = kg /m^3

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