Gravity Calculator

Step-by-Step Guide to Using the Gravity Calculator

This step-by-step guide will help you to use the Gravity Calculator effectively to determine the gravitational force between two objects and their resulting accelerations. Follow the instructions below to ensure accurate calculations.

Step 1: Enter the Mass of the First Object

• Locate the Mass of First Object (kg) input field.
• Enter the mass of the first object in kilograms. Note that the value must be a positive number with a minimum of 0.000001 kg and increments of 0.000001 kg.
• This field is required, so make sure to input a valid number.

Step 2: Enter the Mass of the Second Object

• Find the Mass of Second Object (kg) input field.
• Enter the mass of the second object in kilograms. Similar to the first mass, the value should not be less than 0.000001 kg, with the same incremental steps.
• This is a required input, so ensure you don’t skip this step.

Step 3: Enter the Distance Between the Objects

• Look for the Distance Between Objects (m) input field.
• Input the distance between the two objects in meters. The distance should be at least 0.000001 m, with increments of 0.000001 m.
• This is also a mandatory field for the calculation.

Step 4: Select the Mass Unit

• Locate the Mass Unit dropdown menu.
• Select the unit of mass you want to use. The options available are:
  • Kilograms (kg)
  • Grams (g) – where 1 kg = 1000 g
  • Metric Tons (t) – where 1 kg = 0.001 t
• This selection ensures the mass values are converted correctly for calculation.

Step 5: Select the Distance Unit

• Find the Distance Unit dropdown menu.
• Select the unit of measurement for the distance. The options to choose from include:
  • Meters (m)
  • Centimeters (cm) – where 1 m = 100 cm
  • Kilometers (km) – where 1 km = 1000 m
• This choice helps in the proper conversion of distance values for the calculation.

Step 6: Calculate the Gravitational Force and Accelerations

• Once all the input fields and selections are correctly filled, proceed to calculate.
• The calculator will use the entered data to compute:
  • Gravitational Force: The force exerted between the two objects in Newtons (N), calculated using the formula: 6.67430e-11 * ((mass1 * massUnit) * (mass2 * massUnit)) / pow((distance * distanceUnit), 2).
  • Acceleration of First Object: The acceleration experienced by the first object in meters per second squared (m/s²), using the formula: gravitationalForce / (mass1 * massUnit).
  • Acceleration of Second Object: The acceleration experienced by the second object in meters per second squared (m/s²), calculated with: gravitationalForce / (mass2 * massUnit).
• The results will be displayed with precision, showing up to 12 decimal places for clarity.

The steps above will guide you through using the Gravity Calculator efficiently. By following these instructions, you’ll get accurate readings of gravitational force and the resulting accelerations for the two objects being analyzed.