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Work has the same unit as that of ________.
force
energy
acceleration
momentum
energy
Work is defined as the product of force and displacement in the direction of force, making its SI unit the Joule (J). Energy is the capacity to do work and is measured in the same unit, the Joule (J), reflecting the principle of equivalence between work and energy.
Work is defined as the product of force and displacement in the direction of force, making its SI unit the Joule (J). Energy is the capacity to do work and is measured in the same unit, the Joule (J), reflecting the principle of equivalence between work and energy.
Think of work as the 'currency' spent, and energy as the 'balance' in your bank account; both are measured in the same units because they represent the same underlying quantity of capacity to cause change.
W-E: Work and Energy are equivalent, both ending in the Joule.
W=FтЛЕdтЛЕcos(╬╕) тАФ definition of work where W is work, F is force, d is displacement, and ╬╕ is the angle.
1┬аJ=1┬аNтЛЕ┬аm=1┬аkgтЛЕ┬аm2/┬аs2 тАФ the SI unit derivation for both work and energy.
According to the Work-Energy Theorem, the net work done on an object equals the change in its kinetic energy. Because work represents the transfer of energy, they share the same physical dimensions and units in the SI system (kgтЛЕm2/s2).
Work and energy are scalar quantities.
The SI unit for both work and energy is the Joule (J).
Dimensional formula for both is [ML2TтИТ2].
Calculating power consumption in electrical devices.
Determining the mechanical efficiency of machines.
Force has the SI unit Newton (N).
Acceleration has the SI unit m/s2.
Momentum (p=mv) has the SI unit kgтЛЕm/s.
B is correct тАФ Work and energy share the same SI unit, the Joule (J), because work is essentially the process of energy transfer.
Always remember that quantities with the same dimensional formula must have the same SI unit. If a question asks for a 'same unit' comparison, look for quantities that relate directly via physical laws like the Work-Energy Theorem.
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