You are designing a slide for a water park. In a sitting position, park guests slide...

You are designing a slide for a water park. In a sitting position, park guests slide a vertical distance h down the water-slide, which has negligible friction. When they reach the bottom of the slide, they grab a handle at the bottom end of a 6.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the end swings up through an angle of 72.0∘, and then the person lets go of the pole and drops into a pool of water. Treat the person as a point mass. The pole’s moment of inertia is given by I=1/3ML^2 where L = 6.00 m is the length of the pole and M = 31.0 kg is its mass. For a person of mass 70.0 kg, what must be the height h in order for the pole to have a maximum angle of swing of 72.0∘ after the collision?

Expert Solution

H= 5.8114 m. ANS.

genius_generous answered 1 year ago

#1. [Water Slide & Swing] You are designing a slide for a water park. In a...

#1. [Water Slide & Swing] You are designing a slide for a water park. In a sitting position, park guests slide a vertical distance h down the water slide, which has negligible friction. When they reach the bottom of the slide, they grab a handle at the bottom end of a 6.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging...

Consider that you have a water park and a slide with no friction in it ....

Consider that you have a water park and a slide with no friction in it . Park visitors slide a vertical distance hh down the waterslide in a sitting position. When they come to the bottom of the slide, they grab a handle at the bottom end of a 5.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the...

a) A child slides down a water slide at an amusement park from an initial height...

a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? YesNo (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? YesNo (c) The child drops straight down rather than following the curved ramp of the slide. In...

You have been hired by a company that is designing a new slide (Chorrera) for an...

You have been hired by a company that is designing a new slide (Chorrera) for an aquatic amusement park. In the conceptual design, a customer is expected to go down the curved end slide and then move horizontally across the bottom. At the end of the slide, the client grasps the end of a 16.0 m long vertical bar that can rotate around its center. After holding on to the bar, the client falls into a pool. When the bar...

6. A water slide can be considered to be frictionless. The top of the slide is...

6. A water slide can be considered to be frictionless. The top of the slide is 4.2 m above the bottom of the slide. Riders exit the slide with a horizontal velocity. The bottom of the slide is 1.5 m above the water. A certain rider has a mass of 27 kg. A. Sketch the situation at the top of the slide, bottom if the slide, and just before they hit the water. B. What is their gravitational potential energy...

You are designing a system to add CO2 to water to make carbonated water (sparkling water,...

You are designing a system to add CO2 to water to make carbonated water (sparkling water, like Club Soda or Perrier). If the gas pumped into the bottle above the water is at a pressure of 2 atmospheres and is composed of 100% CO2, what is the equilibrium concentration of dissolved CO2 in the water? If the pH of the water is 5.0, what is the concentration of CO3^-2, HCO3-, and H2CO3 ? (KH=0.0334 mol/L*atm) CO2(aq) + H2O<-----> H2CO3 H2CO3...

you are at a rock concert sitting 10m from the stage at your position the sound...

you are at a rock concert sitting 10m from the stage at your position the sound is 120dB. To protect your ears, you want to reduce the sound intensity level by 20dB. How far away from the stage should you move?

A random survey was conducted at Disneyland to determine how long park guests waited in line...

A random survey was conducted at Disneyland to determine how long park guests waited in line for Space Mountain (in minutes). The collected data is provided below: 65 67 54 57 72 64 55 71 64 60 84 54 74 76 62 60 71 59 58 53 63 65 68 69 90 74 59 75 63 51 The posted wait time was listed to be 60 minutes. At the 1% significance level, perform and interpret a hypothesis test to determine...

Bob, Jim and Mimi are sitting in the park and talking about the great birthday party...

Bob, Jim and Mimi are sitting in the park and talking about the great birthday party Bob had recently. Suddenly, Bob asks: “Mimi, when is your birthday?” Mimi replies: “Let’s see if you can figure it out”. Mimi takes a sheet of paper and writes the following dates on it: April 18 April 19 April 22 May 20 May 21 June 17 June 19 July 17 July 18 July 20 Then, she says: “One of these dates is my birthday....

Crescent City Fun Park (Crescent City), an amusement park with thrilling rides and a water park,...

Crescent City Fun Park (Crescent City), an amusement park with thrilling rides and a water park, sells tickets onsite and has a website that allows customers to purchase tickets in advance and bypass the long lines. Customers who use the website include the general public and travel agents. Both individuals and travel agents can purchase tickets online using a major credit card. Some travel agents prefer the option of using the website to purchase tickets, but rather than pay with...

Question