Edit View History Bookmarks People Window Help Do Homework J

Edit View History Bookmarks People Window Help Do Homework Jackson O\'Dell https Homework aspx7homeworkd-36852920gsquestionid-1anushedsfaisac d oggge wn yes ENGR 1050 MMD Miller Homework: Holidays in September Game (Optionall Hw Score: 4%, 1 of 25 4 2 25 complete) L Score: 0 of 1 pt. Question Help Instructor created question The Grinch takes the sleigh full of presents to the top crumpit, 3,000 foot high mountain of full presents newtons what is the maximum speed the sleigh reaches at the bottom ofthe mountain when the Grinch decides to return the presents to the Whos? Assume there is no friction O A. 2,138 miles per hour O B. 300 miles per hour C. 542 miles per hour O D. 150 miles per hour Click to select your answer and then click Check Answer Clear Ali An parts showing

Solution

Given weight of sleigh = W = 500 N

Given height of mount crumpit = H = 3000 ft = 914.4 m

let the velocity of sleigh at the bottom of mountain be V₂

At the top of mountain, Kinetic energy is zero and the potential energy is given by P.E₁ = mgH

At the bottom of mountain, potential energy is zero andkinetic energy is given by K.E₂ = 1/2(mV₂^2₎

We know that total energy is constant

K.E₁ + P.E₁ = K.E₂ + P.E₂

mgH = 0.5 mV₂²

^V2 =   (2 * 9.81 * 914.4)^1/2

V₂   = 133.942 m/s

  V₂   = 299.6203 miles per hour

Hence the answer is option \' B \'