Newton's 2nd Law describes the relationship between force, mass, and acceleration of an object with the formula F=ma. Which scenario below will result in the greatest accleration? (AKS 8b / DOK 1)

A. A 20 kg rock thrown with a 100 N force.

B. A 10,000 kg rocket launched with 100,000 N of force.

C. A 2,000 kg car accelerated with a 1000 N force from the engine.

D. A 50 kg student pushed in a chair with a force of 1000 N.

The greatest magnitude of acceleration is of 20 m/s², by the student of 50 kg pushing the chair with 1000 N of force. Hence, option (D) is correct.

As per the Newton's second law, " The applied force on an object is equal to the product of mass of object and acceleration cause by the applied force. Then, the mathematical expression is,

F = ma

Here, F is the applied force, m is the mass and a is acceleration.

(A)

For 20 kg mass and 100 N force, the acceleration is,

F = ma

100 = (20)a

a = 5 m/s²

(B)

For 10,000 kg mass of rocket and 100,000 N force, the acceleration is,

F = ma

100 ,000= (10,000)a

a = 10 m/s²

(C) For a 2,000 kg mass of car and force of 1000 N, the acceleration is,

F = ma

1000 = (2000)a

a = 0.5 m/s²

(D) For a mass of 50 kg student and applied force of 1000 N, the acceleration is,

F = ma

1000 = (50)a

a =20 m/s².

Thus, we can conclude that the greatest magnitude of acceleration is of 20 m/s², by the student of 50 kg pushing the chair with 1000 N of force. Hence, option (D) is correct.

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