Question

An 90.3-kg astronaut steps onto the surface of a 1.7*10²⁷-kg planet. If the radius of the planet is 6.1*10⁷m, the force of gravity experienced by the astronaut is ______ N. Write your answer in scientific notation and round your answer to three significant figures.​

Answer 1

To calculate the force of gravity experienced by the astronaut on the planet, we can use Newton's law of universal gravitation.

Step-by-step explanation:

To calculate the force of gravity experienced by the astronaut, we can use Newton's law of universal gravitation. The formula is F = (G * m1 * m2) / r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between the centers of the objects.

In this case, the mass of the astronaut (m1) is 90.3 kg, the mass of the planet (m2) is 1.7*10^27 kg, and the radius of the planet (r) is 6.1*10^7 m. Plugging in these values into the formula, we get:

F = (6.67 * 10^-11 N*m^2/kg^2 * 90.3 kg * 1.7*10^27 kg) / (6.1*10^7 m)^2

Calculating this equation will give you the force of gravity experienced by the astronaut in Newtons.