Pls don't mind my writing. hope this helps you tho
Answer:
The final angular velocity is 20rad/s
Explanation:
We are given;
mass, m = 12 kg
radius, r = 0.25 m
Work done;W = 75 J
Moment of inertia of cylinder, I = (1/2) mr²
Thus,
I = (1/2) x 12 x 0.25² = 0.375 kg.m²
Now, from work energy theorem,
Work done = Change in kinetic energy
So, W = KE_f - KE_i
Now, Initial Kinetic Energy (KE_i) = 0
Final Kinetic Energy; KE_f = (1/2)Iω²
So, KE_f = (1/2) x 0.375 x ω²
KE_f = 0.1875 ω²
Now, W = 75 J
Thus,
From, W = KE_f - KE_i, we have;
75 = 0.1875 ω² - 0
75 = 0.1875 ω²
ω² = 75/0.1875
ω² = 400
ω = √400
ω = 20 rad/s
Answer:
a. E = 
b. 
Explanation:
The important thing to remember is to use Gauss Law. This is a relation that describes the distribution of electric charge to the resultant electric field.
Linear charge density means charge per unit length of material.
Data:
The metal cylinder is hollow.
The unit length is L.
a.The expression will be as follows:
for charge inside the cylinder, where r < R, the expression is:
E = 
b. Let's assume that the cylinder is a coaxial cylinder with a radius r > R, then the electrical field strength is given as:

E = 
E = 
This gives:

The solution informs us that there is a surface change taking place on the cylinder. Therefore, there will not be a magnetic field across it.
When testing a laptop power connector, the voltage measured has be close to +/- 5% to the accepted voltage of the laptop. This is to ensure that the power connector would not pose any hazard to the user and is safe for use. So, for instance the accepted voltage is 19 V, when you test the power connector it should be that the reading is between 18 V to 20 V. Any reading below or above that range is not recommended for use. You can locate the accepted voltage on the battery or the laptop itself. To test a power connector, you can use a volt meter or a multi meter.
Answer:
<h2>6.67 m/s²</h2>
Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula

f is the force
m is the mass
From the question we have

We have the final answer as
<h3>6.67 m/s²</h3>
Hope this helps you