Question

An automobile rounds a curve of radius 50.0 m on a flat road. The centripetal acceleration required to keep the car on the curve is 3.92 m/s². What is the speed necessary to maintain the car on the curve?

A) 5 m/s
B) 10 m/s
C) 14 m/s
D) 20 m/s

Answer 1

The speed necessary to maintain the car on the curve is 10 m/s.

Step-by-step explanation:

the world line of a particle provides a broader perspective in spacetime. A stationary particle has a world line that is a vertical line parallel to the time axis, while the world line for a particle with constant velocity is a straight line inclined to the time axis

The centripetal acceleration required to keep the car on the curve can be calculated using the formula:

a = v^2 / r

where a is the centripetal acceleration, v is the speed of the car, and r is the radius of the curve. Rearranging the formula to solve for v, we have:

v = sqrt(a * r)

Plugging in the given values, we get:

v = sqrt(3.92 * 50.0) = 10 m/s

Therefore, the speed necessary to maintain the car on the curve is 10 m/s.