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An 800 kg car rounds a rotunda on a smooth, level road of radius 52 in at a speed of 14 m/s. What is the centripetal force?​


Sagot :

Soltuion:

Recall the centripetal force formula.

[tex]F_c=\frac{mv^2}{r}[/tex]

Next, substitute the given terms.

[tex]F_c=\frac{(800)(14)^2}{52}[/tex]

[tex]F_c=\frac{(800)(196)}{52}[/tex]

[tex]F_c=\frac{156,800}{52}[/tex]

[tex]F_c=3015.38461538[/tex] [tex]N[/tex]

To conclude, an 800 kg car which rounds a rotunda on a smooth, level road of radius 52 and is at a speed of 14 m/s has a centripetal force of 3,015.38 N.