Answer:
Mass of object in Earth = 1.58 kg.
Free-fall acceleration on planet X = 12.47 m/s²
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 19.7 N.
[tex]W_X=mg_X\\\\19.7=mg_X[/tex]
On planet B where the magnitude of the free-fall acceleration is 1.92 g (where g = 9.8 m/s^2 is the gravitational acceleration on Earth), the object weighs 29.8 N.
[tex]W_B=mg_B\\\\29.8=m\times 1.92\times 9.81\\\\m=1.58kg[/tex]
Mass of object in Earth = 1.58 kg.
We need to find free-fall acceleration on planet X.
[tex]19.7=mg_X\\\\g_X=\frac{19.7}{1.58}=12.47m/s^2[/tex]
Free-fall acceleration on planet X = 12.47 m/s²
