How to Calculate the Acceleration of a 25 kg Box with Forces Applied at Different Angles
Learn how to determine the acceleration of a 25 kg box with 100 N north and 50 N east forces using Newton's Second Law.
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To find the acceleration of the 25 kg box, we use Newton's Second Law (F = ma). First, calculate the net force. Use the Pythagorean theorem: √(100² + 50²) = 111.8 N. Then, divide by mass (25 kg): a = F/m = 111.8/25 ≈ 4.47 m/s².
FAQs & Answers
- How do you find net force when forces are applied at right angles? Use the Pythagorean theorem to calculate the magnitude of the net force by combining the perpendicular forces vectorially.
- What formula do you use to find acceleration from force and mass? Newton's Second Law states acceleration (a) equals force (F) divided by mass (m), so a = F / m.
- Why do forces applied in different directions require vector addition? Because forces have both magnitude and direction, adding them requires vector addition to find the resultant force accurately.