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3 years ago

HELP ME PLEASE !!!!!!!!!!!!!!!!!

Physics

1 answer:

Shalnov [3]3 years ago

6 0

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

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