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2. An object with a mass of 5.0 kg accelerates \( 8.0 \mathrm{~m} / \mathrm{s}^{2} \), when an unknown forc s applied to it. What is the amount of the force?

Ask by Kelley Evans. in the United States
Jan 27,2025

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Answer

The force applied is 40 newtons.

Solution

To determine the amount of force (\( F \)) applied to an object, 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 of the object in kilograms (kg), - \( a \) is the acceleration in meters per second squared (\( \mathrm{m/s}^2 \)). **Given:** - Mass (\( m \)) = 5.0 kg - Acceleration (\( a \)) = 8.0 \( \mathrm{m/s}^2 \) **Calculation:** \[ F = 5.0 \, \text{kg} \times 8.0 \, \mathrm{m/s}^2 = 40 \, \text{N} \] **Answer:** The applied force is **40 newtons**.

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Bonus Knowledge

To find the force applied to the object, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). In this case, we have a mass (m) of 5.0 kg and an acceleration (a) of 8.0 m/s². Plugging in the numbers gives us: \[ F = 5.0 \, \text{kg} \times 8.0 \, \text{m/s}^2 = 40.0 \, \text{N} \] So, the amount of force applied is 40.0 Newtons. Now, here comes the fun part! Imagine that this object is a heroic little car getting ready for a race, and that 40.0 N of force is like the turbo boost it gets to zoom forward from a standstill. Without enough force, that little racecar would just sit there waiting for its big break! Next time you're pushing something heavy or trying to get a friend to join in on a group activity, remember the power of force—sometimes it just takes a little extra oomph for everyone to accelerate toward fun!

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