Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. H

Answer: The result to the query is 0.25 ohms

Explanation:

R = u x/A.......1

where u represents the resistivity of the

rod, A is the cross-sectional area, and x denotes

the length of the rod.

Let R* represent the resistance across the adjacent sections of the rod.

Then, R* = u1/4.......2

By comparing equation 1 with equation 2, we find that

R* = 1/4

which equals 0.25 ohms.

Complete Question:

Picture yourself on an aluminum ladder on the ground, attempting to fix an electrical connection with a metal screwdriver featuring a metallic handle. Since you are sweating profusely, your body has a resistance of 1.60 kΩ.

(a) If you accidentally contact the "hot" wire from the 120 V power line, what current will flow through your body?

(b) What is the amount of electrical power transferred to your body?

Answer:

(a) 0.075A

(b) 9W

Explanation:

According to Ohm's law, the voltage (V) applied to or passing through a body corresponds to the current (I) via the relationship:

V ∝ I

=> V = I x R                 ----------------------(i)

Where;

R denotes the resistance of the body

(a) As mentioned;

Due to wet conditions, the body will conduct electricity, and possesses the following values;

V = supplied voltage = 120V

R = resistance of the wet body = 1.60kΩ = 1.6 x 1000Ω = 1600Ω

Substituting these values into equation(i):

120 = I x 1600

To find I;

I =

I = 0.075A

Thus the current passing through your body is 0.075A

(b) Electrical power (P), which is expressed in Watts (W), delivered to the body is the product of current (I) and voltage (V) received. Thus:

P = I x V           ---------------------(ii)

Where;

I equates to 0.075A   [as derived above]

V is 120V     [as outlined in the question]

Plugging these values into equation (ii):

P = 0.075 x 120

P = 9W

Hence, the electrical power received by your body is 9W

Answer:

The mass will be calculated as 5.173 kg

Explanation:

The energy from the rotation of the uniform flywheel is given by E = 5.1 KJ = 5100 J

Angular speed

Radius r = 1.2 m

The rotational kinetic energy of the flywheel is

Therefore,

The moment of inertia for a solid flywheel is

Thus, the mass will equal 5.173 kg

Answers:

1. To begin with, we need to clarify that Pressure is defined as the Force applied divided by the area . This can be mathematically formulated as follows:

  (1)

The unit for Pressure is Pascal (Pa), which corresponds to and is also equivalent to

Another formulation for Pressure considers the density  of the liquid, its height within the container, and the force due to gravity :

    (2)

In this scenario, the liquid in question is water, with a known density of roughly:

Thus, we need to input the values into equation (2) to find the pressure (make sure to check the units):

Next, substitute this value into equation (1) to isolate :

In conclusion:

2. For this problem, we will apply equation (1) to determine the Pressure. We already have the area and the force applied by the water in the container :

3. Here, equation (2) is ideal for calculating the hydrostatic pressure at any point located at the bottom of the tank (be cautious with your units):

4. In this situation, it's critical to note that in fluids (specifically water here), higher fluid levels result in reduced pressure. Therefore, if and denote the pressures at heights and , respectively, and recognizing that the density of water and gravitational force remain constant, we can employ the following equation for our solution:

  (3)

Where:

at

It's noteworthy that

And is the variable at a specific height

Now we can substitute the known values into equation (3) to compute :

In conclusion:    

5. In this scenario, we have the area and the mass of the piston , and our goal is to find the pressure .

We'll utilize equation (1):  

However, do you recall that we mentioned earlier that pressure is defined as the force exerted over an area?

In this instance, we will apply the following equation that incorporates both the gravitational force and the mass of an object to determine :

Subsequently:

Now we are able to perform the calculation for :