(As physics working out please) (SI UNITS)
Which physical quantity has the same base units as energy? SHOW ALL WORKING OUT!
A:Moment
B:Momentum
C:force
D:pressure
I'm am very stuck on this one so I dont have working out and need all steps.
To determine which physical quantity has the same base units as energy, we need to know the base units for energy and then compare them to the base units of each option (moment, momentum, force, and pressure).
The SI unit for energy is the joule (J).
To express joules in terms of base units, we can use their definition:
1 joule (J) = 1 kg * m^2 / s^2
Now let's analyze each option and express them in terms of base units:
A: Moment
The base unit for moment is Newton-meter (N m).
From the definition of the base unit for force (N = kg * m / s^2), we can see that the base units for the moment are kg * m^2 / s^2.
A moment does not have the same base units as energy.
B: Momentum
The base unit for momentum is kilogram-meter per second (kg m/s).
Using the definition of momentum (p = m * v), where m represents mass (kg) and v represents velocity (m/s), we can see that the base units for momentum are kg * m/s.
Momentum does not have the same base units as energy.
C: Force
The base unit for force is the Newton (N).
Using Newton's second law of motion (F = m * a), where m represents mass (kg) and a represents acceleration (m/s^2), we can see that the base units for force are kg * m / s^2.
Force does not have the same base units as energy.
D: Pressure
The base unit for pressure is Pascal (Pa).
Pressure is defined as force per unit area (P = F / A), where F represents force (N) and A represents area (m^2).
Using the conversions described earlier for force (N) and area (m^2), we can express pressure in terms of base units:
Pa = (kg * m / s^2) / m^2 = kg / (m * s^2)
Pressure does not have the same base units as energy.
In conclusion, none of the options (moment, momentum, force, and pressure) have the same base units as energy, which is expressed in joules (kg * m^2 / s^2).