Example Question - mass and acceleration
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Calculating Force from Mass and Acceleration
<p>To calculate the force (\(F\)) when a mass (\(m\)) is accelerated (\(a\)), use Newton's second law of motion, \(F = ma\).</p> <p>Given:</p> <p>\(m = 5\ \text{kg}\)</p> <p>\(a = 3\ \text{m/s}^2\)</p> <p>So,</p> <p>\(F = m \cdot a = 5 \ \text{kg} \cdot 3 \ \text{m/s}^2 = 15 \ \text{N}\)</p> <p>Therefore, the force is \(15 \ \text{Newtons} (N)\).</p>
Calculating Force on an Object Given Its Mass and Acceleration
Given: \( m = 5 \, \text{kg} \) \( a = 3 \, \text{m/s}^2 \) The force \( F \) can be calculated using Newton's second law: \( F = m \times a \) Substitute the given values: \( F = 5 \, \text{kg} \times 3 \, \text{m/s}^2 \) Calculate the force: \( F = 15 \, \text{N} \)
Calculation of Force from Mass and Acceleration
F = m \cdot a \\ F = 5 \text{ kg} \cdot 3 \text{ m/s}^2 \\ F = 15 \text{ N}
Calculating Acceleration of an Object
The image you've provided includes a question which states: "Solve the following word problem. 1. If a 4 kg object experiences a net force of 12 N, what will be the object's acceleration?" To solve this problem, we'll use Newton's Second Law of Motion, which is defined as: F = ma where F is the net force applied to the object, m is the mass of the object, and a is the acceleration of the object. We are given: F (net force) = 12 N m (mass) = 4 kg We need to find the acceleration (a). Firstly, we rearrange the equation to solve for acceleration: \( a = \frac{F}{m} \) Now we can substitute in the values we have: \( a = \frac{12 \text{ N}}{4 \text{ kg}} \) Now doing the calculation: \( a = 3 \text{ m/s}^2 \) The object's acceleration would be 3 meters per second squared.
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