Question

An 5-kg object moves around a circular track of a radius of 18 cm with a constant speed of 6 m/s. Find (a) The magnitude and direction of the acceleration of the object. (b) The net force acting upon the object causing this acceleration.

Answer 1

(a) The magnitude and direction of the acceleration of the object is 200 m/s².

(b) The force acting upon the object causing this acceleration is 1000 N.

The given parameters:

• Mass of the object, m = 5 kg
• Radius of the circular path, r = 18 cm = 0.18 m
• Speed, v = 6 m/s

The magnitude and direction of the acceleration of the object is calculated as follows;

$a_c = \frac{v^2}{r} \\\\a_c = \frac{6^2}{0.18} \\\\a_c = 200 \ m/s^2$

The force acting upon the object causing this acceleration is calculated as follows;

$F = ma_c\\\\F = 5 \times 200\\\\F = 1000 \ N$

Learn more about centripetal force here: https://brainly.com/question/20905151