# Problem Solving Strategies Question

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## Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1

[math]F_g = (G \ m_1 \ m_2)/r[/math],

where [math]F_g[/math] is the force, measured in Newtons; [math]G[/math] is the gravitational constant, measured in [math]"N"*"m"^2//"kg"^2[/math]; [math]m_1, m_2[/math] are the masses of the two objects measured in kilograms; and [math]r[/math] is the distance between the objects, measured in meters. Using dimensional analysis, is his formula correct? Why or why not?

- Yes, since [math]("N" * "m")/("kg"^2) xx "kg"/1 xx "kg"/1 xx 1/("m") = "N"[/math].
- No, since [math]("N" * "m"^2)/("kg"^2) xx "kg"/1 xx "kg"/1 xx 1/("m") = "N"*"m"[/math].
- No, since [math]("N" * "m"^2)/("kg"^2) xx 1/"kg" xx 1/"kg" xx "m"/1 = ("N" * "m"^3)/ ("kg"^4)[/math].
- No, since [math]("N" * "m"^2)/("kg"^2) xx "kg"/1 xx "kg"/1 xx "m"/1 = "N" * "m"^3[/math].