0

Guest

Courses New

Calculate mass of planet whose density varies inversely proportional to radius.

Calculate mass of planet whose density varies inversely proportional to radius.

Grade:11

1 Answers

Aditya Gupta
2081 Points
4 years ago
this is extremely easy. simply assume a spherical shell at a distance x from the centre with incremental width of dx. now given that density= k/x.
so, dm= (k/x)*dv
but dv= 4pix^2dx
so dm= (k/x)*4pix^2dx= 4kpixdx
now simply integrate both sides
M= 4kpix^2/2 from 0 to R
or M= 2kpiR^2
kindly approve :)

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More