If you could answer these. You're a top g. The

1 You want to experience simple harmonic motion in the real world, so you decide to hang a heavy- duty spring from the ceiling of your bedroom. When you (65.0 kg) hang off of the end of the spring, the spring extends by 1.50m. Your friend then comes along and pulls you down 0.250m from this equilibrium position at rest. Determine the following characteristics. (a) Spring constant [425 N/m] (b) amplitude [0.250111] (c) total energy [133 3] (d) maximum potential energy (magnitude and location) [13.3 J ; a: = $0.250 m] [13.3 J ; a: = 0] (e) maximum kinetic energy (magnitude and location) (f) maximum velocity (magnitude and location) [0.639 m/s; 2: = 0] [1.64m/s2; a: = 20250 m] (3) maximum acceleration (magnitude and location) (h) period [2.46 s] 6) frequency [0.4mm] [y = (0.250 m) cos(2.56t)] (j) equation of motion 2 Since you are an extreme rope enthusiast, you have a 96m long rope with a mass of 7.9 kg. Using all of your strength, you give this rope a tension of 400 N, and shake the rope up and down 3.2 times per second to play jump rope with all of your friends. (a) What is the linear mass density of the rope? [0.082 kg/m] (b) What is the speed of the wave? [70 m/s] [22 m] (c) What is the wavelength of the wave? 3 A string, xed at both ends, vibrates with a wavelength of 9.7 m with a standing transverse wave pattern containing 4 nodes. (a) What is the harmonic number? [3] (13) Which overtone is the string vibrating at? [2] (c) What is the fundamental wavelength? [29 m] [7 .3 m] (d) What wavelength is needed if the standing wave pattern is to contain 4 antinodes? 4 A string of length 2.5m is xed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with ve loops is formed. (3.) Determine the distance between two adjacent nodes. [0.501111 (b) Determine the wavelength of the waves that travel on the string. [1.0m] (c) Determine the velocity of waves. [85 m/s] [17 Hz) (d) Determine the fundamental frequency Of this string. 5 It is a nice, cool, dark, 10 C day. Your eyes sense a bright ash from a cumulonimbus 2.4 km away. How long will it take for your ears to sense the cumulonimbus? [71 s] 6 The sound level of 30 loud Physics 11 students in a classroom is 80 dB. What is the sound level generated by one loud Physics 11 student? Assume each Physics 11 student is equally loud. [65 dB] 7 de Jong decides to yell at the Physics 11 classes again, since nobody wants to do work in class. You are sitting 5.0m away and your ears start to hurt. Using an app on your phone, you record the sound level e to be 95 dB. In order to alleviate the pain you are experiencing, how far away should you be for th sound level to be only 75 dB? [50m]