A planet has a mass of 6.46 × 10^23 kg and a radius of 2.73 × 10^6 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 53.6-kg person weigh on this planet?
a. To calculate the acceleration due to gravity (g), we can use the formula g = G * (M/R^2), where G is the gravitational constant (6.674 × 10^-11 N m^2/kg^2), M is the mass of the planet, and R is the radius of the planet.

Using the given values:
M = 6.46 × 10^23 kg
R = 2.73 × 10^6 m

g = (6.674 × 10^-11 N m^2/kg^2) * (6.46 × 10^23 kg) / (2.73 × 10^6 m)^2
Calculate g to find the acceleration due to gravity on this planet.

b. To find out how much the 53.6-kg person would weigh on this planet, we can use the formula weight = mass * acceleration due to gravity.

Using the given weight of the person:
mass = 53.6 kg

weight = 53.6 kg * acceleration due to gravity
Calculate the weight of the person on this planet.