1. E
F = Gm₁m₂/r²
2. D
F = Gm.m/r²
F = G. 60. 60/2²
F = 900.G N
3. D
R = √( [3F]² + [4F]² )
R = √ (9F² + 16F²) = √25F²
R = 5F
4. D
Fac = Fcb
Gma.mc/r² = Gmb.mc/(10-r)²
ma/r² = mb/(10-r)²
r²/(10-r)² = ma/mb
r²/(10-r)² = 4/9
r/(10-r) = 2/3
3r = 20 - 2r
5r = 20
r = 4 m
5. B
F₁₃ = F₂₃
Gm₁.m₃/x² = Gm₂.m₃/(r-x)²
m₁/x² = m₂/(r-x)²
x²/(r-x)² = m₁/m₂
x²/(r-x)² = 4/9
x/(r - x) = 2/3
3x = 2r - 2x
5x = 2.r
x = 2/5.r
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1. E
F = Gm₁m₂/r²
2. D
F = Gm.m/r²
F = G. 60. 60/2²
F = 900.G N
3. D
R = √( [3F]² + [4F]² )
R = √ (9F² + 16F²) = √25F²
R = 5F
4. D
Fac = Fcb
Gma.mc/r² = Gmb.mc/(10-r)²
ma/r² = mb/(10-r)²
r²/(10-r)² = ma/mb
r²/(10-r)² = 4/9
r/(10-r) = 2/3
3r = 20 - 2r
5r = 20
r = 4 m
5. B
F₁₃ = F₂₃
Gm₁.m₃/x² = Gm₂.m₃/(r-x)²
m₁/x² = m₂/(r-x)²
x²/(r-x)² = m₁/m₂
x²/(r-x)² = 4/9
x/(r - x) = 2/3
3x = 2r - 2x
5x = 2.r
x = 2/5.r