FIGURE 6-14
-A 20.0-gram mass is attached to a 120 cm-long string as shown in Figure 6-14. The tension in the string is measured to be 0.200 N. What is the angle α?
A) 11.2°
B) 13.6°
C) 18.7°
D) 22.4°
E) 24.6°

Question

FIGURE 6-14 
-A 20.0-gram mass is attached to a 120 cm-long string as shown in Figure 6-14. The tension in the string is measured to be 0.200 N. What is the angle α?
A) 11.2° 
B) 13.6° 
C) 18.7° 
D) 22.4° 
E) 24.6°

Quizplus · Accepted Answer

The tension in the string provides the centripetal force needed for circular motion. Using the formula T = mg cos(α), where T is the tension, m is the mass, and g is the acceleration due to gravity, we can solve for α. Given T = 0.200 N, m = 0.020 kg, and g = 9.8 m/s², solving for α gives approximately 11.2°.

FIGURE 6-14 -A 20.0-Gram Mass Is Attached to a 120 Cm-Long String