3 years ago

A car moves at 18m/s North. What is the x component of the velocity?

Physics

1 answer:

Marina86 [1]3 years ago

6 0

Velocity, v = 18 m/s, makes an angle 60 degrees with the horizontal (x-axis).

(horizontal) x-component of velocity, v(x) = v cos (60) = 18 m/s x cos(60) = 9 m/s

If you need to determine the y-component (vertical) of velocity,

(vertical) y-component of velocity, v(y) = v sin (60) = 18 m/s x sin(60) = 15.6 m/s

Hope it helps

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The total energy or mechanical energy is the sum of the potential energy plus the kinetic energy, as it is known the velocity and the height, we can determine the total energy.

$E_{M}=E_{p} + E_{k} \\E_{p} = potential energy [J]\\E_{k} = kinetic energy [J]\\where:\\E_{p} =m*g*h\\E_{p} = 4*9.81*0.5=19.62[J]\\E_{k}=\frac{1}{2} *m*v^{2} \\E_{k}=\frac{1}{2} *4*(3)^{2} \\E_{k}=18[J]\\Therefore\\E_{M} =18+19.62\\E_{M}=37.62[J]$

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