More on Gravitational potential energy

Rating - 3/5
515 views

As a final note, let’s show that when we are close to the earth’s surface, Eq. (13.9) reduces to the familiar U = mgy from Chapter 7. We first rewrite Eq. (13.8) as

If the body stays close to the earth, then in the denominator we may replace r1 and r2 by RE, the earth’s radius, so,

According to Eq. (13.4), g = GmE/RE 2 , so,

These Topics Are Also In Your Syllabus
1 Types of Operating Systems - Batch operating system, Time-sharing systems, Distributed OS, Network OS, Real Time OS link
2 A point Mass outside a spherical shell link
You May Find Something Very Interesting Here. link
3 the Gravitational force Between spherical Mass distributions link
4 A point Mass inside a spherical shell link
5 Apparent weight and the earth’s rotation link

If we replace the r’s by y’s, this is just Eq. (7.1) for the work done by a constant gravitational force. In Section 7.1 we used this equation to derive Eq. (7.2), U = mgy, so we may consider Eq. (7.2) for gravitational potential energy to be a special case of the more general Eq. (13.9).

Rating - 3/5
531 views