179k views
2 votes
A car rounds a flat (unbanked) curve on a highway with a radius of 235.0 m at a speed of 20.0 m/s. What is the centripetal acceleration of the car?

1) 4.26 m/s²
2) 8.52 m/s²
3) 16.04 m/s²
4) 32.08 m/s²

User Erdinc
by
6.8k points

1 Answer

2 votes

Final answer:

The centripetal acceleration of a car traveling at 20.0 m/s on a flat curve with a 235.0 m radius is approximately 1.70 m/s², which is not listed in the provided options.

Step-by-step explanation:

The centripetal acceleration of a car going around a flat curve can be calculated using the formula ac = v2 / r, where v is the linear speed of the car and r is the radius of the curve. In the case of the car traveling at 20.0 m/s around a curve with a radius of 235.0 m, the centripetal acceleration is:

  1. ac = v2 / r
  2. ac = (20.0 m/s)2 / 235.0 m
  3. ac = 400 m2/s2 / 235.0 m
  4. ac = 1.7021 m/s2

Therefore, the centripetal acceleration of the car is approximately 1.70 m/s2, which does not match any of the provided options, suggesting there may be a typo in the question or its options.

User Francesco Serra
by
8.0k points