Question

On planet X, an object weighs 5.51 N. On planet B where the magnitude of the free-fall acceleration is 1.08 g (where g = 9.8 m/s 2 is the gravitational acceleration on Earth), the object weighs 20.81 N. The acceleration of gravity is 9.8 m/s 2 . What is the mass of the object be on Earth? Answer in units of kg.

Answer 1

Mass of object in Earth = 1.96 kg.

Step-by-step explanation:

We know weight is the product of mass and acceleration due to gravity.

Mass is a constant.

W = mg

On planet X, an object weighs 5.51 N.

`W_X=mg_X\\\\5.51=mg_X`

On planet B where the magnitude of the free-fall acceleration is 1.08 g (where g = 9.8 m/s 2 is the gravitational acceleration on Earth), the object weighs 20.81 N.

`W_B=mg_B\\\\20.81=m* 1.08* 9.81\\\\m=1.96kg`

Mass of object in Earth = 1.96 kg.