A SUV has a length of 4.4 m,a height of 1.5 m and a width of 1.6 m.What is the maximum speed the SUV could travel as it makes a turn of radius 71 m before it will begin to tip? Assume that the center of mass is in the geometric center of the car and that there is sufficient friction between the tires and the road to prevent skidding.
A)8.7 m/s
B)26 m/s
C)27 m/s
D)30 m/s
E)52 m/s

Question

Quizplus · Accepted Answer

The maximum speed before tipping is determined by the formula $ v = \sqrt{g \cdot r \cdot \frac{w}{h}} $, where $ g $ is the acceleration due to gravity (9.8 m/s²), $ r $ is the radius of the turn (71 m), $ w $ is the width of the SUV (1.6 m), and $ h $ is the height of the center of mass (0.75 m). Plugging in these values gives $ v = \sqrt{9.8 \cdot 71 \cdot \frac{1.6}{0.75}} \approx 27 $ m/s.

A SUV Has a Length of 4