Mass to Weight Calculator:
Enter the values of mass, M(kg) and acceleration due to gravity, A(m/s2) to determine the value of Weight, W(N).
Mass to Weight Formula:
Mass refers to the amount of matter in an object, typically measured in kilograms or grams. It is a fundamental property that does not change with the object’s location. However, weight is the force exerted by gravity on an object, and it depends on both the mass and the gravitational field in which the object is located.
Weight is typically measured in Newtons (N) or pounds (lbs), and it varies depending on the strength of gravity at a given location. On Earth, gravity is approximately 9.8m/s2, meaning that an object’s weight can be calculated using the equation: W(N) =M(kg) * A(m/s2).
The relationship between mass and weight can be applied to objects on Earth, but if the object were on the moon or another planet, the acceleration due to gravity would differ, and so would the weight. For example, on the Moon, gravity is approximately 1.63m/s2, which would result in a much lighter weight for the same mass.
Weight, W(N) in Newton of an object equals its mass, M(kg) in kilograms multiplied by the acceleration due to gravity, A(m/s2) in metres per second squared.
Weight, W(N) =M(kg) * A(m/s2)
W(N) =weight in Newtons, N.
M(kg) = mass in kilograms, kg.
A(m/s2) = acceleration due to gravity in metres per second squared, m/s2.
Mass to Weight Calculation:
1.Find the weight of a 5 kg object on Earth:
Given:M(kg) = 5kg, A(m/s2) = 9.8m/s2.
Weight, W(N) =M(kg) * A(m/s2)
W(N) = 5 * 9.8
W(N) = 49N.
2.Find the mass of an object that weighs 100 Newtons on the Moon:
Given:W(N) = 100N, Acceleration due to gravity on the Moon, A(m/s2) = 1.63m/s2.
Weight, W(N) =M(kg) * A(m/s2)
M(kg) = W(N) / A(m/s2)
M(kg) = 100 / 1.63
M(kg) = 61.35kg.