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s the amount of the force? mass of 5.0 kg accelerates \( 8.0 \mathrm{~m} / \mathrm{s}^{2} \) when an unkr

Ask by Christensen Cruz. in the United States
Jan 27,2025

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The force is 40 newtons.

Solution

To determine the amount of force acting on a mass, you can use **Newton's Second Law of Motion**, which states: \[ F = m \times a \] Where: - \( F \) is the **force** in newtons (N) - \( m \) is the **mass** in kilograms (kg) - \( a \) is the **acceleration** in meters per second squared (m/s²) **Given:** - Mass (\( m \)) = 5.0 kg - Acceleration (\( a \)) = 8.0 m/s² **Calculation:** \[ F = 5.0 \, \text{kg} \times 8.0 \, \text{m/s}^2 \] \[ F = 40 \, \text{N} \] **Result:** The force acting on the mass is **40 newtons**.

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To find the force, you can use Newton's second law of motion, which states that force equals mass times acceleration (F = m * a). So, if you have a mass of 5.0 kg and an acceleration of 8.0 m/s², the force would be F = 5.0 kg * 8.0 m/s² = 40.0 N. Voilà! That's the amount of force needed to make that mass accelerate. In the world of engineering and everyday life, understanding force is crucial. From designing a safe roller coaster to calculating how much push is needed to get your shopping cart moving, these principles help in countless applications. It’s all about knowing the right amount of force to apply whether you're tuning a sports car's engine or dragging a heavy bag up a flight of stairs!

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