Question

1. A) A spring-mass system completes 3 oscillations in 16 seconds. If the mass is 8 kg, what is the spring constant? Your Answer: Answer units B) A wave at t = 0 is described by y(x) = (3.0m)sin(27x/(3.0m). This wave travels in the positive x-direction with speed 15.0 m/s. What is the height of the wave at x = 3m when t = 4s? Your Answer:

Answer 1

0 Time Pernod, T=22 [m Her, m= Maps K = spring Constant . Also, True = frequency and frequency = Oscillation Time f 3 16 sec $ = PASTI 2 m K K= m (@xf) ? TO R= auf (8 kg K= 11.10 Nm ал 2 * 16 B ya 3 sin lanx -0 y 2 y(xit) = A sin (KX-wt) = 3 sine x - wt comparing ه) اعسة )

K= 27 we Ruow, K=2 2 - 2 1 1 So, by componung, we get, x=3 m. also giveu, speed, U= 15 milis frequency, 2 IS = 5 st 3 W=2av= loñ So, y(xit) = 3584 lax x - lort) at x=3m., t=4 Bec. y (xt) = y(3,4) = 3 sin ( 25 - 40a] 3Siul381) = 3 Soul- 119.38) 3 (0.00052084 = 0.00156252 y = 1.56 mm. Electñc féld at a Porut (-1,4.5) due to elonge q, &=q 4K&N (?q=&J² Jt x? *lyzju? 8 = Position vector 1*= 5410 +(5:50)2 12= 151.25

lai 12-298 I ~ 12.3 m. R=thit s.s È = 2x109 xqxio? (+1ỉ +5.50) 12:3) E= -0.1064 î + 0.0532 Ex= -0.1064 NIC +ynj) &=(ny q= 4C EIS.S. force, f= qE F =4 [xy î + (yn)j] at fout (4,15-5) ie X=4, y=1s f=4[uxiss î + (15-5-1)} F = QuBit 46 ↑ IN.