Question

The figure shows two tiny 5.0-g spheres suspended from two very thin 1.0-m-long threads. The spheres repel each other after being charged to +57 nC and hang at rest as shown. What is the angle ?? (k = 1/4?? 0 = 8.99 × 10⁹ N · m²/C²)

Answer 1

Rewrite the equation for tan θ . kg 4mgl 8.99 x109 N.m /C2)(57 x109 c 4 (5x103 kg) (9.80 m/s)1.0 m) tanØsin26-( )2 For small angles, we have tan θ ~ θ and sin θ ~ θ. Thus, the angle is calculated as follows: (9x109 N.m2 /C2)(57x10-9 C)2 4 (5x103 kg 9.80 m/s2) (1.0 m) Ơ 9 x109 N.m2/C2) (57 x10-9 C) 4(5x103 kg) (9.80 m/s) (1.0 m) 0.053 rad 360 -0.053 rad 3.04°