can you please solve number 6 showing step by step on a picture.Show all your work and explain step by step on a PICTURE PLEASE. 1.A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of thelake. The sphere has a volume of 0.650 m³ and the tension in the cord is 900 N. (a) Calculate the buoyant forceexerted by the water on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere risesto the surface. When the sphere comes to rest, what fraction of its volume will be submerged? [(a) 6370 N, (b)558 kg, (c) 85.9%]2. The pipe shown carries water, and it is given that A₁ 2.0A2. The fluidheights in the vertical tubes are h₁ = 1.20m and h₂ = 0.80 m. (a) Findthe ratio of the flow speeds 2. (b) Find the gauge pressures P₁ and P₂. (c)Tube 1Tube 2V1Find the flow speed v₁ in the pipe. [(a) 2.00, (b) 11.9kPa and 7.8kPa, (c)1.6 m/s.A₂F3. The point masses m and 2m lie along the x-axis, with m at the origin and2m at x = L. A third point mass M is moved along the x-axis. At whatpoint is the net gravitational force on M due to the other two massesequal to zero? [x=0.414L]4. The planet Uranus has a radius of 25,360 km and a surface acceleration due to gravity of 9.0 m/s² at its poles. Itsmoon Miranda (discovered by Kuiper in 1948) is in a circular orbit about Uranus at an altitude of 104,000 kmabove the planet's surface. Miranda has a mass of 6.6 x 10¹⁹ kg and a radius of 236 km. (a) Calculate the mass ofUranus from the above data. (b) Calculate the magnitude of Miranda's acceleration due to its orbital motionabout Uranus. (c) Calculate the acceleration due to Miranda's gravity at the surface of Miranda. [(a) 8.7 x 10²5 kg,(b) 0.35 m/s², (c) 0.079 m/s²]5. An experiment is performed in deep space with two uniform spheres, one with mass 26.0 kg and the other withmass 106.0 kg. They have equal radii, r = 0.25 m. The spheres are released from rest with their centers adistance 41.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. Youcan ignore all gravitational forces other than that between the two spheres. (a) When their centers are adistance 28.0 m apart, find the speed of the 26.0 kg sphere. (b) Find the speed of the sphere with mass 106.0 kg.[(a) 1.13 x 10-5 m/s, (b)2.78x10-6 m/s]6. A 0.250 kg toy is undergoing SHM on the end of a horizontal spring with force constant 300 N/m. When the toyis 0.0160 m from its equilibrium position, it is observed to have a speed of 0.400 m/s. (a) What is the toy's totalenergy at any point of its motion? (b) What is the toy's amplitude of the motion? (c)What is the toy's maximumspeed during its motion? [(a) 5.48 x 10-2 J, (b) 1.97 x 10-2 m, (c) 0.684 m/s]7. A particle moves in simple harmonic motion according to x = 20cos(5t), where x is in centimeters and t is inseconds. (a) What is the period? (b) What is the amplitude? (c) What is the maximum velocity? (d) At what valueof x does the maximum velocity occur? (e) What is the maximum acceleration? (f) At what value of x does themaximum acceleration occur? (g) Write an equation for velocity as a function of time. [a) 1.26 sec, b) 0.2 m, c) 1m/s, d) x = 0, e) 5 m/s², f) x = 0.20 m, g) v = -100sin(5t)]

Name: can you please solve number 6 showing step by step on a picture.Show a
Uploaded: 2024-03-20T06:58:04.000Z
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Description: can you please solve number 6 showing step by step on a picture.Show all your work and explain step by step on a PICTURE PLEASE. 1.A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of thelake. The