Mass from Kinetic Energy Calculator Height and Speed

Mass Formula:

\[ m = \frac{2 \times (E_k - m \times g \times h)}{v^2} \]

Mass (m): kg

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1. What is a Mass from Kinetic Energy Calculator?

Definition: This calculator determines the mass of an object using its kinetic energy, height, and velocity.

Purpose: It helps in physics calculations involving energy transformations between potential and kinetic energy.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ m = \frac{2 \times (E_k - m \times g \times h)}{v^2} \]

Where:

\( m \) — Mass (kg)
\( E_k \) — Kinetic energy (Joules)
\( g \) — Gravitational acceleration (9.81 m/s²)
\( h \) — Height (meters)
\( v \) — Velocity (m/s)

Explanation: The formula accounts for both kinetic energy and potential energy to solve for mass.

3. Importance of Mass Calculation

Details: Accurate mass determination is crucial in physics experiments, engineering designs, and understanding energy conservation principles.

4. Using the Calculator

Tips: Enter the kinetic energy in Joules, height in meters, and velocity in m/s. Velocity must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is gravitational acceleration 9.81 m/s²?
A: This is the standard value for Earth's gravitational acceleration at sea level.

Q2: Can I use this for objects in space?
A: No, this calculator assumes Earth's gravity. For space applications, you'd need to adjust the gravitational constant.

Q3: What units should I use?
A: Use Joules for energy, meters for height, and meters/second for velocity to get mass in kilograms.

Q4: Why does velocity need to be greater than zero?
A: Velocity appears in the denominator, so zero would cause division by zero (undefined).

Q5: How accurate is this calculation?
A: It's theoretically accurate for classical mechanics problems without air resistance or other external forces.