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Three masses are arranged in the (x, y) plane
as shown.
y [m]
5
Co
1
-3
1 kg
-1
9 kg
1
7 kg
m
What is the magnitude of the resulting
force on the 9 kg mass at the origin? The
value of the universal gravitational constant
is 6.6726 × 10-¹¹ N·m²/kg².
Answer in units of N.

User Igor S
by
7.8k points

1 Answer

5 votes

To find the magnitude of the resulting force on the 9 kg mass at the origin, use the formula F = G * (m1 * m2) / r^2.

Step-by-step explanation:

To find the magnitude of the resulting force on the 9 kg mass at the origin, we can calculate the gravitational force between the 9 kg mass and the other two masses using the formula:

F = G * (m1 * m2) / r^2

Using the given value of the universal gravitational constant G = 6.6726 × 10^-11 N·m²/kg², the mass of the 9 kg object, and the distances between the masses, we can calculate the gravitational forces and find their vector sum.

User Tad
by
9.5k points

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