I think the missing word you're looking for here is 'unit'. The examples such as kilogram and gallons are all units of measurement. These are standard amounts used for mass, volume, and length. It is especially important to be consistent with this units especially when doing dimensional analysis.
Answer:
The current is changing at the rate of 0.20 A/s
Explanation:
Given;
inductance of the inductor, L = 5.0-H
current in the inductor, I = 3.0 A
Energy stored in the inductor at the given instant, E = 3.0 J/s
The energy stored in inductor is given as;
E = ¹/₂LI²
E = ¹/₂(5)(3)²
E = 22.5 J/s
This energy is increased by 3.0 J/s
E = 22.5 J/s + 3.0 J/s = 25.5 J/s
Determine the new current at this given energy;
25.5 = ¹/₂LI²
25.5 = ¹/₂(5)(I²)
25.5 = 2.5I²
I² = 25.5 / 2.5
I² = 10.2
I = √10.2
I = 3.194 A/s
The rate at which the current is changing is the difference between the final current and the initial current in the inductor.
= 3.194 A/s - 3.0 A/s
= 0.194 A/s
≅0.20 A/s
Therefore, the current is changing at the rate of 0.20 A/s.
Answer:
Newton/meter
Explanation:
Acceleration is defined as the rate of change of velocity.
Therefore, the SI units of acceleration is m/sec²
However, acceleration is also involved in Newton's second law:
Force = mass * acceleration
Newton = kg * unit of acceleration
Therefre:
unit of acceleration = Newton / kg
Hope this helps :)
Answer:
Acceleration = Final velocity-initial velocity/time
In m/s^2
a = 40000-0 /10
= 4000m/s
in km/h
a = 40/10÷360
= 1440km/h