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Answer :
Final answer:
The total force on the spacecraft can be determined using the formula for gravitational force, which is given by Newton's law of universal gravitation.
Explanation:
The total force on the spacecraft can be determined using the formula for gravitational force, which is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
Where F is the force, G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2/kg^2), m1 is the mass of the spacecraft, m2 is the mass of the black hole, and r is the distance between the spacecraft and the black hole.
Substituting the given values into the formula, we have:
F = (6.67430 × 10^-11 N m^2/kg^2) * [(1,450 kg) * (96 * mass of the sun)] / (10,000 m)^2
Simplifying the expression, we can calculate the total force on the spacecraft.
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