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two large crates are experiencing a gravitational force of 1.87 x 10^-4 N toward each other, represented by the force vector in this image. what is the value of M2? will vote brainliest

A: 2.3 x 10^5
B: 4.2 x 10^10

two large crates are experiencing a gravitational force of 187 x 104 N toward each other represented by the force vector in this image what is the value of M2 w class=

Respuesta :

F=1.87×10^-4
m1=185000 kg

Use Pythagorean theorem to find r:
[tex] \sqrt{95 {}^{2} + 78 {}^{2} } [/tex]
[tex] \sqrt{9025 + 6084} [/tex]
[tex] \sqrt{15109} [/tex]
r=√15109 m

Now substitute all values:
F=G×m1×m2/r²
1.87×10^-4=6.67×10^-11×185000×m2/√15109²
0.000187=0.0000000000667×185000×m2/15109
0.000187=1.23×10^-5×m2/15109
Multiply by 15109 by both sides:
2.83=1.23×10^-5×m2
m2=230081=2.3×10^5