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 end swings up through an angle of 70.0∘∘, 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=1/3 ML^2 , where L = 6.00 m is the length of the pole and M = 40.0 kg is its mass.

For a person of mass 70.0 kg, what must be the height hh in order for the pole to have a maximum angle of swing of 60.0∘ after the collision?

In August of 2014, Mary Jensen invested in a one-year Treasury security with a risk-free return of 1.0%.  The consumer price index rose at a rate of 1.25% from August of 2014 to August 2015.  Mary’s real rate of return was approximately _______.

Group of answer choices

2.25%

0.25%

-0.25%

1.0%

Experiments show that the solubility of alum in 23 mL of 1.2 M KOH plus 10 mL of 9 M H2SO4 is about 1.0 g at 1.0 °C and 1.7 g at 6.0 °C. Using your measured solution temperature, estimate the amount of alum left in your chilled solution.

i have data, Acid is HCl and base is NaOH

△H=mC_h2o(T_i-T_f)

i am looking for the mass(m) please explain this..

Consider the following balanced equation Ca₃(PO₄)₂ (s) + 3H₂SO₄ (aq) -------> 3CaSO₄ (s) + 2H₃PO₄ (aq)

What masses of calcium sulfate and phosphoric acid can be produced from the reaction of 1.0 kg calcium phosphate with 1.0 kg concentrated sulfuric acid (98% H₂SO₄ by mass)?

Two trains of equal weight, moving with velocities of 30 miles an hour each and in opposite directions collide. Show that the loss of energy caused by the impact is the same as in the case of a train moving at 60 miles an hour striking another at rest. In the latter case, find the velocity with which the debris will be moved along the track. Also show that before impact the total energy in the one case is doubled that in the other

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Tony has had a bad virus and has had to stay in bed for the last ten days. Tony now wants to continue training for that marathon (26 miles) race which will be in one week. He says he has to train by running at least 18 miles a day. What could happen to Tony and what would you advise Tony based on your knowledge of muscles

4.   Sampling and Sampling Distributions

In the most recent hearing on Highway safety at the New York City Council hearings, it was determined that the average travels 1,123 miles per month.  Assume the population standard deviation is 341 miles per month. Determine the interval that will contain 95% of the sample means for the sample size of

a. 30 drivers

b. 45 drivers

c. Explain the difference in these probabilities

The Naples Newspaper completes production of its daily edition by 5 a.m. A truck picks up pallets loaded with newspapers and delivers them to four neighbor sites, where carriers sort and fold the papers for individual routes. The mileage between locations is shown in the table below. Currently, the truck picks up the number of pallets required by each customer at the factory, delivers them, and then returns to the factory to get the papers for the next customer (i.e., current route 0-1-0-2-0-3-0-4-0). The truck always returns to Scottsville and gets 10 miles per gallon using diesel fuel. A truck can carry up to 17 pallets. A gallon of diesel fuel is $2.50. The newspaper operates 365 days per year.

1. How many miles does the truck travel each day using the current route? What is the total number of miles traveled annually? Round your answers to the nearest whole number.

   miles per day
   miles per year

2. Use the Clarke-Wright Method to find a more efficient route. Round your answers to the nearest whole number.

   Routes	Travel Distance (miles)
   0-1-0, 0-1-2-0, 0-1-3-0, 0-1-4-0
   0-2-0, 0-2-3-0. 0-2-4-0
   0-2-3-0, 0-4-0, 0-3-4-0
   Total

3. How many miles, gallons, and dollars can be saved per year by adopting the current versus shorter route found by the Clarke–Wright Method? Do not round intermediate calculations. Round your answers to two decimal places.

   miles per year
   gallons per year
   $  per year

4. How many pounds of gas are emitted into the atmosphere and saved per year using the shortest truck route versus the current truck route? Assume that one gallon of gas generates 13 pounds of carbon dioxide and other global-warming gases from the truck's tailpipe. Do not round intermediate calculations. Round your answer to one decimal place.

   lbs of gas per year