Answer:
Option D. 6.1 m/s²
Explanation:
We'll begin by calculating the acceleration due to gravity in each case. This is illustrated below:
1. For Rock:
Mass (m) = 20 g
Force (F) = 0.1224 N
Acceleration due to gravity (g) =?
Next, we shall convert 20 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
20 g = 20/1000
20 g = 0.02 kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.02 kg
Force (F) = 0.1224 N
Acceleration due to gravity (g) =?
F = mg
0.1224 = 0.02 × g
Divide both side by 0.02
g = 0.1224/0.02
g = 6.12 m/s²
2. For Grain of sand:
Mass (m) = 0.8 g
Force (F) = 0.00501 N
Acceleration due to gravity (g) =?
Next, we shall convert 0.8 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
0.8 g = 0.8/1000
0.8 g = 0.0008 kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.0008 kg
Force (F) = 0.00501 N
Acceleration due to gravity (g) =?
F = mg
0.00501 = 0.0008 × g
Divide both side by 0.0008
g = 0.00501/0.0008
g = 6.26 m/s²
3. For Metal bolt:
Mass (m) = 79 g
Force (F) = 0.4871 N
Acceleration due to gravity (g) =?
Next, we shall convert 79 g to kg. This can be obtained as follow:
1000 g = 1 kg
Therefore,
79 g = 79/1000
79 g = 0.079kg
Finally, we shall determine the acceleration due to gravity as follow:
Force of gravity (F) = mass (m) x Acceleration due to gravity (g)
F = mg
Mass (m) = 0.079 kg
Force (F) = 0.4871 N
Acceleration due to gravity (g) =?
F = mg
0.4871 = 0.079 × g
Divide both side by 0.079
g = 0.4871/0.079
g = 6.17 m/s²
From the above calculation we obtained the following values for acceleration due to gravity (g):
Object >>>> Acceleration due to gravity
Rock >>>>> 6.12 m/s²
Sand >>>>> 6.26 m/s²
Metal >>>>> 6.17 m/s²
Thus, closest approximation of the acceleration due to gravity of the planet is 6.1 m/s²
