Q. 72

Expert-verifiedFound in: Page 356

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

shows a particle of mass m at distance from the center of a very thin cylinder of mass and length . The particle is outside the cylinder, so .

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 when it is at position

a. The gravitational potential energy of these two masses

b. The gravitational force on is

The expression for gravitational **P.E.** is,

Here, is universal **universal gravitational constant**, are masses, and is distance of separation between the masses.

(a) Assume that the rod **is split** into thin sections each of width with mass of as shown **within the** figure. **because the** width of the rod **is tiny**, all of the mass is assumed to be at a distance **faraway from** the mass .

The fractional of mass **of every** section and total mass is.

Substitute **within the** above equation.

(b) Calculate the force on the mass at distance .

Therefore, the force on the mass is94% of StudySmarter users get better grades.

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