Force Equation:
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The force equation \( F = m \times \frac{v}{t} \) calculates force assuming constant acceleration from rest, where mass (m) is multiplied by the change in velocity (v) over time (t).
The calculator uses the force equation:
Where:
Explanation: This equation comes from Newton's second law of motion (F=ma), where acceleration (a) is calculated as change in velocity over time (v/t).
Details: Calculating force is fundamental in physics and engineering for understanding motion, designing structures, and analyzing mechanical systems.
Tips: Enter mass in kg, velocity in m/s, and time in s. All values must be positive (mass > 0, velocity ≥ 0, time > 0).
Q1: What if the object isn't starting from rest?
A: For non-zero initial velocity, use \( F = m \times \frac{(v_f - v_i)}{t} \) where \( v_f \) is final velocity and \( v_i \) is initial velocity.
Q2: What are typical force values?
A: Forces range from tiny (e.g., 0.001 N for small objects) to enormous (e.g., 1,000,000 N for rocket launches).
Q3: How does this relate to weight?
A: Weight is a special case of force where acceleration is due to gravity (9.81 m/s² on Earth).
Q4: What are limitations of this equation?
A: It assumes constant acceleration and doesn't account for relativistic effects at very high velocities.
Q5: Can this be used for rotational motion?
A: For rotational systems, torque (τ = Iα) is used instead, where I is moment of inertia and α is angular acceleration.