The gravitational constant for Earth is gE = 9.8m/s2. The gravitational constant for the planet Mongo is 20 m/s2. If an object has a mass of 10 kg on earth, what is its mass on Mongo?
To determine the mass of the object on Mongo, we can use the concept of gravity and the given gravitational constants.
The formula to calculate the weight of an object is:
Weight = mass * gravitational constant
In this case, we have the mass of the object on Earth as 10 kg. We need to find the mass on Mongo, so let's denote it as 'mM'.
Using the formula for weight on Earth, we have:
Weight on Earth = mass on Earth * gravitational constant of Earth
Since the weight on Earth is determined by the gravitational constant of Earth, we can express it as:
Weight on Earth = mass on Earth * gE
Similarly, for the weight on Mongo, we have:
Weight on Mongo = mass on Mongo * gravitational constant of Mongo
Weight on Mongo can also be expressed as:
Weight on Mongo = mass on Mongo * gM
We need to find the mass on Mongo, so let's rearrange the equation for mass on Mongo:
mass on Mongo = Weight on Mongo / gM
Since both the weight on Earth and the gravitational constants are known, we can substitute the values and calculate the mass on Mongo:
mass on Mongo = (Weight on Mongo) / gM
Given that the mass on Earth is 10 kg, the gravitational constant of Mongo is 20 m/s^2, and the gravitational constant of Earth is 9.8 m/s^2, we can substitute these values into the equation:
mass on Mongo = (10 kg) / (20 m/s^2)
Simplifying the equation gives us:
mass on Mongo = 0.5 kg
Therefore, the mass of the object on Mongo is 0.5 kg.