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Results tagged with homework-and-exercises
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user 144045
Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.
-1
votes
1
answer
881
views
Deriving an expression for the spacing of bumps on the road given that the car suspension is... [closed]
The suspension of a car may be considered to be an ideal spring under compression. When the driver, of mass $m_1$, steps into the car, of mass $m_2$, the vertical height of the car above the road d …
- 1,327
0
votes
2
answers
341
views
Struggling with a mechanics exam question regarding a circular frictionless slope [closed]
Source: https://www2.physics.ox.ac.uk/study-here/undergraduates/applications/physics-aptitude-test-pat/pat-past-papers
The answer is either A or B - different mark schemes have different answers (t …
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1
vote
1
answer
2k
views
Calculating the Universe's change in entropy for irreversible processes involving a system a...
Water at temperature $T_s$ is added to a lake at temperature $T_0 > T_s$ until the total system reaches equilibrium. What is the change in entropy of the Universe?
This is a homework question but I …
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1
vote
4
answers
14k
views
Deriving the equation for kinetic energy
To derive the equation I used a system where a particle starts at rest, and then has a constant force applied to it so that it accelerates with a constant acceleration. At time $t=T$ the particle has …
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-1
votes
1
answer
1k
views
Conservation of energy in a uniform electric field
Say you place a positively charged particle between two plates with an uniform electric field between them. The particle will accelerate towards the negatively charged plate with a constant accelerati …
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2
votes
3
answers
1k
views
Deriving an integral in a mechanics problem (massless string holding up a disk)
I am told that a massless string is holding up a disk of mass $M$ and radius $R$. I want to find out the value of the tension $T$ in the string.
The textbook does this trivially by stating that $2T …
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-1
votes
1
answer
619
views
A mass is hung from the centre of an unstretched, horizontal wire. How do I work out the dep... [closed]
A wire of unstretched length $l$ is extended by a distance $10^{-3}l$ when a certain mass is hung from its bottom end. If this same wire is connected between two points that are a distance $l$ apart o …
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0
votes
1
answer
300
views
How to find the equation of motion for a string threaded through the centre of a table?
A string of total length $l$ is threaded through a hole in the centre of a frictionless horizontal table and then released. How would one go about finding the vertical equation of motion for this s …
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2
votes
1
answer
157
views
Intuiting qualitatively the shapes of the eigenfunctions of a finite well-like potential, us...
Consider, for example, the third excited state of an infinite square well:
Now consider the following potential:
If we wanted to sketch the rough shape of the third excited eigenfunction of this pot …
- 1,327
-2
votes
1
answer
241
views
Deriving an expression for the tangential velocity of a meteor orbiting the Earth? I have 2 ... [closed]
"A meteoroid of mass $m$ is on a circular Earth orbit of radius $R$ which is a few (> 2) times larger than the radius of the Earth $R_E$. Derive an expression for the meteoroid's speed. State the mean …
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1
vote
1
answer
2k
views
Forces acting on the water in a bucket when the bucket is vertically spun on a string?
From my understanding, the only force acting on the water is its own weight. The tension in the string is pulling on the bucket but not the water, right?
However, mathematically that does not seem t …
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0
votes
Newton ' s second law
Every object has inertia, meaning that it wants to continue on the path it is currently on and with the same velocity. That's why, according to the second law, a net force is required to produce accel …
- 1,327
0
votes
1
answer
614
views
Potential energy of two colliding particles in space
If two particles of equal mass $m$ separated by a distance $r$ are released from rest and start on a collision course, attracting each other through gravity (so their gravitational potential energy is …
- 1,327
0
votes
1
answer
669
views
Formation of a second image due to reflection at a boundary
To determine the refractive index of a transparent plate of glass, a
microscope is first focused on a tiny scratch in the upper surface,
and the barrel position is recorded. Upon further loweri …
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0
votes
Accepted
Formation of a second image due to reflection at a boundary
I've realised that the solution arises from the following consideration of refraction:
$$v=-(\frac{n_2}{n_1})u$$
In this case we know $v$ must be $-\Delta d$ because the scratch must appear to have …
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