**37. Two particles are located on the x axis. Particle 1 has a mass m and is at the origin. Particle 2 has a mass 2m and is at x = +L. A third par- ticle is placed between particles 1 and 2. Where on the x axis should the third particle be located so that the magnitude of the gravitational force on both particle 1 and particle 2 doubles? Express your answer in terms of L.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
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**37. Two particles are located on the x axis. Particle 1 has a mass m and
is at the origin. Particle 2 has a mass 2m and is at x = +L. A third par-
ticle is placed between particles 1 and 2. Where on the x axis should the
third particle be located so that the magnitude of the gravitational force
on both particle 1 and particle 2 doubles? Express your answer in terms
of L.
Transcribed Image Text:**37. Two particles are located on the x axis. Particle 1 has a mass m and is at the origin. Particle 2 has a mass 2m and is at x = +L. A third par- ticle is placed between particles 1 and 2. Where on the x axis should the third particle be located so that the magnitude of the gravitational force on both particle 1 and particle 2 doubles? Express your answer in terms of L.
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