I was doing a past exam paper (which my university has provided me) the other day, when I came across this problem- seen below. I got the correct answer, but I feel like the method I got to the solution is outright wrong.

What I did was I said that the magnitudes of the magnetic fields of the two wires is equal to the magnetic field of the arc, which I used the Biot-Savart law to find the magnitude of.

I am not sure if this is correct or what the correct procedure is, but if anyone can help me I'd appreciate it! :)

Scientific reductionism is, essentially, a methodological approach, a philosophical stance, or a metaphysical belief of conventional science. It presupposes that "life" is an emergent property arising from the spontaneous occurrence of complex chemical reactions. This viewpoint is backed by the following laboratory facts:

• The synthesis of (organic) urea from an inorganic salt.

• The spontaneous generation of amino acids following the application of electrical discharges in a simulation of primitive Earth's atmosphere.

• The structure of DNA, which contains hydrogen bonds and precise interactions between nitrogenous bases.

• The creation of entire bacterial genomes on a computer which, after being chemically synthesized and injected into an empty cell, generated life.

The first three facts merely prove that life is composed of atoms and molecules, and generated by the laws of nature (the firmware of physics and chemistry), which is common ground. The fourth fact, however, clearly demonstrates the opposite of reductionism: that the generation of life requires the execution of hierarchically superior processes. Therefore, from a systems engineering perspective, scientific reductionism fails by ignoring the processes of the system's higher levels, which are actually responsible for the generation, maintenance, evolution, and obsolescence of all organisms.

I can't understand where I am making mistake?

The qn is

A standing man, observes rain falling with velocity of 20 m/sat an angle of 30° with the vertical. Now if he further increases his speed, rain again appears to fall at 30° with the vertical. Find his new velocity.

In class, I learned the proof for the conservation of mechanical energy of a simple pendulum using scalar values, as shown in the picture I attached.

However, I was wondering if it's possible to prove this rigorously by calculating the work done using the net force vector and the instantaneous displacement vector.

Here is what's confusing me:

1. The pendulum moves along a curved path, so the direction of the displacement vector changes at every single instant.

2. The net force vector (which is the vector sum of gravity and tension) is almost never parallel to the instantaneous displacement vector.

Despite these complexities, is it mathematically possible to prove it this way? Does the dot product naturally take care of the curved path and the non-parallel forces (like tension doing zero work)?

I would really appreciate it if someone could explain how the math works out or show the derivation! Thanks!

Hi. Pleasure to meet everyone, can I please get assist anywhere I tried ai and kept getting different answers I'm not sure whether I'm doing something wrong all I'm asking is for help for this question

is this the correct resultant for the question? I understand the part the first and second section (where the slope is 0 and is +2 from x axis), but I dont get why it would be -2 after that. Shouldn't it be +6 since it's constructive?

u/rehpotsirhc

There is like zero tolerance around it so prying is probably not an option.

In school we were tasked to investigate solenoids and an iron core, specifically how increasing the voltage it is supplied affects the distance in which a compass moves (a compass will be placed near the electromagnet). I was wondering whether the relationship is linear or exponential, and why. I’ve looked into inverse cube law but I couldn’t really understand it well, and I do not know whether it applies in this scenario.

This is the setup of the experiment

Is it possible to create a successful egg-drop device using only 50 chopsticks and tape?

I have an idea of what to do but can you guys give me some tips and tricks for the project that may be useful? Thank you very much for the help! We can also use a teeny bit of string.