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. If the units of energy, force and velocity are 50 J, 5 N and 2m/ s, what will be unit of mass, length and time

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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

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