Answer:
Explanation:
Absolutely! We can analyze the relationships between these units to determine the units of mass, length, and time.
Reasoning:
Force (N): We know 1 Newton (N) is the force required to accelerate 1 kilogram (kg) of mass by 1 meter per second squared (m/s²). So, the unit of force can be represented as kg * m/s².
Energy (J): 1 Joule (J) is the work done by a force of 1 Newton over a distance of 1 meter. Therefore, the unit of energy can be written as N⋅m.
Velocity (m/s): This unit already represents meters per second, which is a measure of speed.
Deriving the Units:
Mass (kg): We can rewrite the equation for force (N) to isolate the unit of mass:
Mass unit = N / (m/s²) = 5 N / (2 m/s²) = kg
Length (m): We can use the equation for energy (J) to isolate the unit of length:
Length unit = J / N = 50 J / 5 N = m
Time (s): The unit of velocity (m/s) already includes the unit of time (seconds).
Summary:
Mass unit: kg
Length unit: m
Time unit: s
