Answer:
58.1 m
Explanation:
Draw a free body diagram of the vehicle. There are three forces: normal force N pushing up, weight force mg pulling down, and friction force Nμ pushing towards the center of the circle.
Sum of forces in the y direction:
∑F = ma
N − mg = 0
N = mg
Sum of forces in the radial direction:
∑F = ma
Nμ = m v² / r
Substitute and solve for r:
mgμ = m v² / r
gμ = v² / r
r = v² / (gμ)
Plug in values:
r = (20 m/s)² / (9.8 m/s² × 0.703)
r = 58.1 m
