Power Calculator (P = MV/t)

What is Power?

Power is a measure of the rate at which work is done or energy is transferred. In physics, power is defined as the amount of energy transferred or converted per unit time. It is a fundamental concept in mechanics and has wide-ranging applications in engineering, physics, and everyday life.

Formula

The formula for power in this context is:

\[ P = \frac{MV}{t} \]

Where:

• \( P \) is the power (in watts, W)
• \( M \) is the mass of the object (in kilograms, kg)
• \( V \) is the velocity of the object (in meters per second, m/s)
• \( t \) is the time taken (in seconds, s)

Calculation Steps

Let's calculate the power for an object in motion:

1. Given:
   • Mass (\( M \)) = 50 kg
   • Velocity (\( V \)) = 10 m/s
   • Time (\( t \)) = 5 s
2. Apply the power formula: \[ P = \frac{MV}{t} \]
3. Substitute the known values: \[ P = \frac{50 \text{ kg} \times 10 \text{ m/s}}{5 \text{ s}} \]
4. Perform the calculation: \[ P = \frac{500 \text{ kg} \cdot \text{m/s}}{5 \text{ s}} = 100 \text{ W} \]

Example and Visual Representation

Let's visualize the concept of power in motion:

This diagram illustrates:

• The object with mass \( M \) (green rectangle)
• The velocity \( V \) of the object (red arrow)
• The distance traveled over time \( t \) (blue line)
• The power equation relating these quantities