details please FU SCREEN PRINTER VERSION ‘BACX Chapter 13, Problem 087 Your answ

Question

details please

FU SCREEN PRINTER VERSION ‘BACX Chapter 13, Problem 087 Your answer is partially correct. Try again a) If the legendary apple of Newton could be released from rest at eight of 2.6 fro the surface of, e trom starwitna masst2imes nat torun shase a s is g a radius of 15 km, what would be the apple's speed when it reached the surface of the star? (b) If the apple could rest on the surface of the star, what would be the differenca babween the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.4 cm. (a) Number 1 1464291 UnitsT m/s (b) Numbe Uni SHOW HINT MATH HELP LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM LINK TO TEXT SAVE FOR LATER SUBMIT ANSWE Question Attempts: 3 of 10 used 1 20002017khnwiley&Sons;,Inc All Rights Reserved. A Division of John wilerASons,loc. y licy

Explanation / Answer

(A) PEi + KEi = PEf + KEF

- G M m / (R+ h)+ 0 = - G M m / R + m v^2 /2

v^2 /2 = G M [1/R - 1/(R+h)]

v = 4.10 x 10^5 m/s

(B) delta(g) = G M / R^2 - G M / (R + h)^2

= G M [ (R^2 + h^2 + 2 R h - R^2) / (R^2 (R + h)^2)]

= G M h( h + 2 R) / (R^2 ( R + h)^2)

h + 2 R = 2 R

and R + h = R

= 2 G M h / R^3

= 2 x 4.2 x 1.99 x 10^30 x 6.67 x 10^-11 x 0.034 / (15 x 10^3)^3

= 11.2 x 10^6 m/s^2

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