Answer :
(c) 1160 N
The weight of an astronaut on a different planet can be determined by comparing the gravity of that planet to Earth's gravity. The weight of an object on any planet is calculated using the formula:
Weight = Mass * Gravitational Acceleration
On Earth, the gravitational acceleration is approximately 9.8 m/s2. If an astronaut has a mass of 59 kg, their weight on Earth would be 59 kg times 9.8 m/s2, which is approximately 578.2 N.
For a planet twice as massive as Earth and assuming the radius of the planet is the same as Earth's, the gravitational acceleration would also be twice that of Earth's because gravitational acceleration depends on the mass of the planet (and inversely on the square of the radius, which is constant in this case).
This means on this new planet, the gravitational acceleration would be:
9.8 m/s2 * 2 = 19.6 m/s^2
Therefore, the astronaut's weight on this planet would be:
59 kg * 19.6 m/s^2 = 1156.4 N, which we can round to 1160 N.
