Solution Found!
FIGURE shows a particle of mass m at distance x from the
Chapter 13, Problem 69CP(choose chapter or problem)
FIGURE CP13.69 shows a particle of mass \(m\) at distance \(x\) from the center of a very thin cylinder of mass \(M\) and length \(L\). The particle is outside the cylinder, so \(x>L / 2\).
a. Calculate the gravitational potential energy of these two masses.
b. Use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on \(m\) when it is at position \(x\).
Questions & Answers
QUESTION:
FIGURE CP13.69 shows a particle of mass \(m\) at distance \(x\) from the center of a very thin cylinder of mass \(M\) and length \(L\). The particle is outside the cylinder, so \(x>L / 2\).
a. Calculate the gravitational potential energy of these two masses.
b. Use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on \(m\) when it is at position \(x\).
ANSWER:Step 1 of 4
The objective here is to calculate the gravitational potential energy of two masses-a thin cylinder of mass \(M\) and a particle of mass \(m\) placed at a known distance from the center of mass \(M\). Also, need to find the magnitude of the gravitational force on \(m\) due to \(M\).