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Which would require a greater force accelerating 2 kg mass at 5 metre per second square for a 4 kg mass at 2 metre per second square?
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Which would require a greater force accelerating 2 kg mass at 5 metre ...
Understanding Force and Mass
In physics, force is calculated using Newton's second law, which states that force (F) is the product of mass (m) and acceleration (a):

F = m × a
This means that the force required to accelerate an object depends on both its mass and the acceleration applied to it.

Calculating Force for Each Mass
- For the **2 kg mass** with an acceleration of **5 m/s²**:
- F = m × a
- F = 2 kg × 5 m/s²
- F = 10 N (Newtons)
- For the **4 kg mass** with an acceleration of **2 m/s²**:
- F = m × a
- F = 4 kg × 2 m/s²
- F = 8 N

Comparison of Forces
- The force required to accelerate the **2 kg mass** at **5 m/s²** is **10 N**.
- The force required to accelerate the **4 kg mass** at **2 m/s²** is **8 N**.

Conclusion
- The **2 kg mass** accelerating at **5 m/s²** requires a greater force than the **4 kg mass** accelerating at **2 m/s²**.
- Therefore, **10 N** is greater than **8 N**, indicating that the force needed increases with higher acceleration, even if the mass is smaller.
This analysis clearly shows how mass and acceleration interplay to determine the force required in different scenarios.
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Which would require a greater force accelerating 2 kg mass at 5 metre per second square for a 4 kg mass at 2 metre per second square?
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