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Which would require a greater force: accelerating a 2 kg mass at 5m/{s^2} or a 4 kg mass at 2m/{s^2}?

Aniket Singh , 5 Months ago
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Askiitians Tutor Team

Last Activity: 5 Months ago

To determine which would require a greater force, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = m * a

Let's calculate the force required for each scenario:

Accelerating a 2 kg mass at 5 m/s²:
F1 = 2 kg * 5 m/s² = 10 N

Accelerating a 4 kg mass at 2 m/s²:
F2 = 4 kg * 2 m/s² = 8 N

In this comparison, it requires a greater force (10 N) to accelerate a 2 kg mass at 5 m/s² than to accelerate a 4 kg mass at 2 m/s² (8 N). Therefore, accelerating the 2 kg mass at 5 m/s² requires the greater force.

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