Answer:
a. 4680 N
b. 58.8 m/s²
c. 79.6 kg
Step-by-step explanation:
I'm guessing that the mass is 150 times greater, and the radius is 5 times greater.
The force due to gravity of a planet is:
F = GMm / r²
where G is the universal gravitational constant
M is the mass of the planet
m is the mass of the object
and r is the distance between the object and the center of the planet
On Earth, the person's weight is 780 N:
780 = GMm / r²
On the new planet, the weight is:
F = G (150M) m / (5r)²
F = 6 GMm / r²
F = 6 (780)
F = 4680 N
b. Her weight is 6 times that of her Earth weight, so the acceleration due to gravity must be 6 times greater than Earth's.
6 × 9.8 = 58.8 m/s²
c. Her mass is the same on both planets.
m = F/g = 780 / 9.8 = 79.6 kg.