Question

On an unknown planet, an object with a mass of 475 kg falls and hits the planet’s surface with a force of 888 N. What is the gravity of the planet?

a) 1.87 m/s^2
b) 2.78 m/s^2
c) 3.62 m/s^2
d) 4.56 m/s^2

Answer 1

The gravity of the unknown planet is calculated using the formula W = mg, where W is the weight and m is the mass of the object. Substituting the given values, the gravity is found to be 1.87 m/s^2, which is option a).

Step-by-step explanation:

To determine the gravity of the planet in the given question, we need to use the formula for weight (W), which is the force with which gravity pulls an object of mass (m) towards the planet's surface. The formula is W = mg, where g represents the acceleration due to gravity. Since we are given the weight of the object as 888 N and the mass as 475 kg, we can rearrange this formula to solve for g:

g = W / m = 888 N / 475 kg

Now, we can calculate the acceleration due to gravity:

g = 888 N / 475 kg = 1.87 m/s2

Therefore, the gravity of the planet is 1.87 m/s2, which corresponds to option a).