Answer:
Option C. The one with a mass of 0.3 kg has the greater acceleration.
Explanation:
Let m₁ and m₂ represent the masses of the two balls.
Let a₁ and a₂ represent the acceleration of the two balls.
The following data were obtained from the question:
Force (F) applied = 20 N
Mass 1 (m₁) = 0.3 Kg
Mass 2 (m₂) = 0.4 Kg
Acceleration 1 (a₁) =..?
Acceleration 2 (a₂) =...?
Force (F) = mass (m) × acceleration (a)
F = ma
With the above formula, we can obtain the acceleration of each bass as follow:
For ball with mass 0.3 Kg:
Force (F) applied = 20 N
Mass 1 (m₁) = 0.3 Kg
Acceleration 1 (a₁) =..?
F = m₁ × a₁
20 = 0.3 × a₁
Divide both side by 0.3
a₁ = 20/0.3
a₁ = 66.67 m/s²
For ball will mass 0.4 Kg:
Force (F) applied = 20 N
Mass 2 (m₂) = 0.4 Kg
Acceleration 2 (a₂) =...?
F = m₂ × a₂
20 = 0.4 × a₂
Divide both side by 0.4
a₂ = 20/0.4
a₂ = 50 m/s²
Summary:
Mass >>>>>>>>> Acceleration
0.3 Kg >>>>>>>> 66.67 m/s²
0.4 Kg >>>>>>>> 50 m/s²
From the above illustration, we can see that the ball with mass 0.3 Kg has the highest acceleration.
