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A car with a mass of 1,500 kg requires a centripetal force of 640 N to safely follow a circular curve in the road at 13. 4 m/s. What is the radius of the curve? 31 m 77 m 421 m 860 m.

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Lanuel

The radius of this circular curve is equal to 421 meters.

Given the following data:

  • Mass = 1,500 kg
  • Centripetal force = 640 N
  • Velocity = 13. 4 m/s.

To determine the radius of this circular curve:

Mathematically, centripetal force is given by the formula:

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

Where:

  • r is the radius.
  • v is the velocity.
  • m is the mass.

Making r the subject of formula, we have:

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

Substituting the parameters into the formula, we have;

[tex]r=\frac{1500 \times 13.4^2}{640}\\\\r=\frac{1500 \times 179.56}{640}[/tex]

Radius, r = 420.8 ≈ 421 meters.

Read more on centripetal force here: https://brainly.com/question/20905151

Answer:

The correct answer is C- 421 m

Explanation:

EDG 2021

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