Imagine you are in a spaceship one million km from a black hole of mass kg. Initially you are flying directly away from it at a velocity of 16.9 km/s.
Using the n-body approximation, what is your velocity one second later? Type your answer in metres per second.
What is the mass of the black hole?
black hole of mass 2 * 10 ^ 30 kg
To calculate the velocity of the spaceship one second later using the n-body approximation, we need to take into account the gravitational influence of the black hole.
The gravitational force between the spaceship and the black hole can be determined using Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
where:
F is the gravitational force,
G is the gravitational constant (approximately 6.674 × 10^-11 m^3 kg^-1 s^-2),
m1 is the mass of the spaceship,
m2 is the mass of the black hole,
r is the distance between them.
In this case, the only mass given is the mass of the black hole (kg). To proceed, we will require the missing mass information.
Please provide the mass of the spaceship (kg).