Final answer:
The cyclist's centripetal acceleration while turning a corner with a radius of 50 meters at a speed of 10 meters per second is calculated to be 2 m/s² using the formula a = v^2/r.
Step-by-step explanation:
Centripetal Acceleration of a Cyclist
A cyclist turning a corner with a radius of 50m at a speed of 10m/s experiences centripetal acceleration because their direction is constantly changing while moving along a circular path. To calculate the centripetal acceleration (a), use the formula:
a = v^2 / r
where v is the speed of the cyclist, and r is the radius of the circular path.
Substitute the given values into the formula:
a = (10 m/s)^2 / 50 m
= 100 m^2/s^2 / 50 m
= 2 m/s²
The cyclist's acceleration is 2 m/s², so the correct answer is C) 2m/s².