Question

An object of mass 0.50 kg is transported to the surface of planet x where the object's weight is measured to be 20 n. the radius of the planet is 4.0 x 10⁶ m. what free fall acceleration will the 0.50-kg object experience when at the surface of planet x?

a. 48 m/s²
b. 20 m/s²
c. 16 m/s²
d. 40 m/s²

Answer 1

The free fall acceleration experienced by the 0.50-kg object at the surface of planet X is 40 m/s², which is calculated by dividing the weight by the mass of the object.

Step-by-step explanation:

To find the free fall acceleration experienced by the 0.50-kg object on the surface of planet X, you can use the following formula:

Weight (W) = mass (m) × acceleration due to gravity (g)

The weight of the object on planet X is given as 20 N, and the mass (m) is 0.50 kg. Plugging these values into the formula, we get:

20 N = (0.50 kg) × g

To solve for g, divide both sides by the mass:

g = 20 N / 0.50 kg = 40 m/s²

Therefore, the free fall acceleration experienced by the 0.50-kg object at the surface of planet X is 40 m/s², which corresponds to option d.