I need help with these 5 questions, thank you !

Part A If an earthquake wave having a wavelength of 6.90 km causes the ground to vibrate 15.0 times each minute, what is the speed of the wave? Express your answer in kilometers per second. Templates Symbols undo redo reset keyboard shortcuts help, U = km/sIn this example we will apply the equation 1) = \\/ g to the simple case in which the tension in a rope is provided by the weight of a box. One end of a nylon rope is tied to a stationary support at the top of a vertical mine shaft that is 80.0 m deep (gure 1}. The rope is stretched taut by a box oi mineral samples with mass 20.0 kg suspended irom the lower end. The mass oi the rope is 2.00 kg. The geologist at the bottom of the mine signals to his colleague at the top by jerking the rope sideways. What is the speed oi a transverse wave on the rope? If a point on the rope is given a transverse simple harmonic motion with a irequency of 20 Hz, what is the wavelength of the wave? Figure . 1oi1 30.0 Ill "We: = 20-01% SOLUHON SET UP We can calculate the wave speed u from the tension, FT, and the mass per unit length, ,u = m/L. The tension at the bottom of the rope is equal to the weight oi the 20.0 kg load: (20.0 kg)(9.80 m/sz) 196 N FT and the mass per unit length is ,u = g} = $3: 0.0250 kg/m SOLVE The wave speed is given by the following equation: U=J=me=ssjmfs From the following equation, _ u _ 55.5111/5 A } W14A3m REFLEGT We have ignored the 10% increase in tension in the rope between bottom and top due to the rope's own weight. Can you verity that the wave speed at the top is 92.9 m/s? v Part A - Practice Problem: Another box of samples is hoisted up by the same rope. If the rope is shaken with the same frequency as before, and the wavelength is found to be 6.9 m , what is the mass of this box oi samples? Express your answer in kilograms. v L ' - - undo redo resist keyboard shortcuts gelp; m muest Answer Provide Feedback Next) A fisherman notices that his boat is moving Part A up and down periodically without any horizontal motion, owing to waves on the surface of the water. It takes a time of 2.80 s How fast are the waves traveling? for the boat to travel from its highest point to Express the speed v in meters per second using three significant figures. its lowest, a total distance of 0.680 m . The fisherman sees that the wave crests are > View Available Hint(s) spaced a horizontal distance of 6.10 m apart. Templates Symbols undo redo reset keyboard shortcuts help, V = m/s Submit Part B What is the amplitude A of each wave? Express your answer in meters using three significant figures. > View Available Hint(s) Templates Symbols undo redo reset keyboard shortcuts help, A = m SubmitThe E string on an electric bass produces the instrument's lowest possible frequency, 41 Hz. The string has a length of 0.86 m and a mass per unit length of 0.015 kg/m. (a) Calculate the tension in this string. (b) Calculate the frequency and wavelength of the second harmonic. (c) Calculate the frequency and wavelength of the third harmonic. Figure 1 of 1 N A N A N Second harmonic (n = 2) NANANAN QWQ.' Third harmonic (h = 3) I Review | SET UP (gure 1} shows our diagram. Constants SOLVE Part (a): To nd the tension FT in the string, we first solve the equation f1 = 211'/ 1%? for PT: PT = 41mi-32f12 We are given that p = 1.50 x 102kg/m, L = 0.86m, and f1 = 41.0 Hz. Substituting these values, we find that p31 = 4(1.5o > A wire with mass 60.0 g is stretched so that Part A its ends are tied down at points 86.0 cm apart. The wire vibrates in its fundamental mode with frequency 75.0 Hz and with an What is the speed of propagation of transverse waves in the wire? amplitude of 0.800 cm at the antinodes. Express your answer in meters per second. Templates Symbols undo redo reset keyboard shortcuts help, U = m/s Submit Request Answer - Part B Compute the tension in the wire. Express your answer in newtons. Templates Symbols undo redo reset keyboard shortcuts help, F = N Submit Request