Respuesta :

Answer:

Option (3)

Explanation:

Formula used to calculate acceleration is,

F = ma

Where F = force exerted on a mass

m = mass

a = acceleration due to force exerted on the mass

Option (1),

When F = 100 N and m = 100 kg

100 = 100a

a = 1 m per sec²

Option (2)

For F = 1 N and m = 100 kg

1 = 100a

a = [tex]\frac{1}{100}[/tex]

a = 0.01 m per sec²

Option (3)

For F = 100 N and m = 1 kg

100 = 1(a)

a = 100 m per sec²

Option (4)

For F = 1 N and m = 1 kg

1 = 1(a)

a = 1 m per sec²

Therefore. acceleration in Option (3) is the maximum.

onyebuchinnaji

The mass is undergoing to the greatest amount of acceleration is 1 kg subjected to a force of 100 N.

The given parameters:

  • Mass = 100 kg and force = 100 N
  • Mass = 100 kg and force = 1 N
  • Mass = 1 kg and force = 100 N
  • Mass = 1 kg and force = 1 N

The acceleration of each of the given masses is calculated by applying Newton's second law of motion as follows;

[tex]F = ma\\\\\a = \frac{F}{m}[/tex]

When mass = 100 kg and force = 100 N, the acceleration is calculated as;

[tex]a = \frac{100}{100} \\\\a = 1 \ m/s^2[/tex]

When mass = 100 kg and force = 1 N, the acceleration is calculated as;

[tex]a = \frac{1 }{100} \\\\a = 0.01 \ m/s^2[/tex]

When mass = 1 kg and force = 100 N, the acceleration is calculated as;

[tex]a = \frac{100}{1} \\\\a = 100 \ m/s^2[/tex]

When mass = 1 kg and force = 1 N, the acceleration is calculated as;

[tex]a = \frac{1}{1} \\\\a = 1 \ m/s^2[/tex]

Thus, the mass is undergoing to the greatest amount of acceleration is 1 kg subjected to a force of 100 N.

Learn more about Newton's second law of motion here: https://brainly.com/question/25545050

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