1. Two masses are attracted by gravitational force of 0.24 N. What will the force of attraction be if the distance btwn the two masses is halved. Can you show me how to solve ?

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Chapter1: Units, Trigonometry. And Vectors
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So i just asked that question in the picture but at the bottom where it say F = 4F ..where did that 4 come ? I am still not quite grasping the breakdown.... please help
7:06 & O
@ * 82%i
1. Two masses are attracted by gravitational force
of 0.24 N. What will the force of attraction be
the
distance btwn the two masses is halved. Can you
show me how to solve ?
given:
F = 0.24 N (at distance r)
we have to find F'=? , at distance (r'=r/2)
Step2
b)
Formula Used:
F = Gmlm2
p2
for distance r,
0. 24 = Gmlm2
(1)
for distance r',
F' = Gmlm2
p2
(2)
(2) /(1)
Gmlm2
F
Gmlm2/r2
$ = (:)* = ()*
F
F' = 4F
F = 4 * 0. 24
F = 0.96 N
Transcribed Image Text:7:06 & O @ * 82%i 1. Two masses are attracted by gravitational force of 0.24 N. What will the force of attraction be the distance btwn the two masses is halved. Can you show me how to solve ? given: F = 0.24 N (at distance r) we have to find F'=? , at distance (r'=r/2) Step2 b) Formula Used: F = Gmlm2 p2 for distance r, 0. 24 = Gmlm2 (1) for distance r', F' = Gmlm2 p2 (2) (2) /(1) Gmlm2 F Gmlm2/r2 $ = (:)* = ()* F F' = 4F F = 4 * 0. 24 F = 0.96 N
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