1joule of energy converted into new system of units in which length is...
Conversion of 1 Joule into New System of Units
When converting one unit of energy into a new system of units, we need to consider the units of length, mass, and time. In this case, we need to convert one joule into a system where length is measured in 10 m, mass in 10 kg, and time in 1 minute.
Conversion Factors
First, we need to find the conversion factors for the new units:
- 1 meter = 10 m
- 1 kilogram = 10 kg
- 1 second = 60 seconds (1 minute)
Conversion of Energy
To convert one joule of energy into the new system of units, we can use the formula:
Energy = (mass x length^2) / time^2
Substituting the new units into this formula, we get:
Energy = (10 kg x (10 m)^2) / (60 s)^2
Simplifying this expression, we get:
Energy = 10 / 36 joules
Numerical Value
Therefore, the numerical value of one joule in the new system of units is 10/36 joules or approximately 0.2778 joules.
Conclusion
Converting one unit of energy into a new system of units requires understanding the conversion factors for length, mass, and time. By using the appropriate formula and conversion factors, we can convert the energy into the new system and determine its numerical value.