A [m]-kg skier is skiing down a slope and passes through poi…

A [m]-kg skier is skiing down a slope and passes through points A, B, and C, before jumping off of a ramp at C. The path between points B and C forms part of a circle that is centered at point O and has a radius R = [R] m. Point C corresponds to the lowest point of the circle. (When the skier jumps from the ramp, the skier’s initial velocity will be horizontal.) Find the skier’s speed at point C in m/s, if the normal force on the skier at point C (at the instant before leaving the ramp) is Fn = [Fn] N. Report this value in the space below (show all of your work on your paper, with the same answer).

On the ski slope from the previous question, a second skier…

On the ski slope from the previous question, a second skier of mass 47 kg passed point A with speed = [v1] m/s, and simply “coasted” downhill, with negligible friction, until reaching point C with speed = [v2] m/s. Find the height of point A above point C.

Problem 3 Gotham City, Inc. owns all the outstanding stock o…

Problem 3 Gotham City, Inc. owns all the outstanding stock of Joker County, Inc. Amortization expense of $25,000 per year for patented technology resulted from the original acquisition. For 2022, the companies reported the following balances in their respective internal records:   Gotham City, Inc. Joker County, Inc. Sales $2,200,000 $600,000 Cost of Goods Sold  650,000   450,000 Operating Expenses  450,000 100,000 Investment Income Not provided -0- Dividends Declared 80,000   30,000 During 2021, Joker County recorded intra-entity sales to Gotham City in the amount of $400,000 for goods that cost Joker County $300,000. During 2022, Joker County recorded intra-entity sales to Gotham City in the amount of $300,000 for goods that cost Joker County $150.000. Of the intra-entity transfers, 50% was still on the books of Gotham City on each of the last two year ends. Assume those goods are sold in the subsequent year. Use this information to answer the following two questions.