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Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].
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Newton's Law in space
I believe you are correct. Using conservation of linear momentum:
$$m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2$$
Where the mass of the person is $m_1$, his speed before he hits the wall is $u_1$, the mass of …
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4
answers
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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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3
answers
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Can work done ever be negative?
If a car is moving towards me and I push against the bonnet with a force $F$, but it makes little difference so the car pushes me backwards in a straight line for distance $x$, have I done $-Fx$ work …
6
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4
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Why doesn't gravitational potential energy cancel out?
If you have 2 stars of mass $M$ and seperated by a distance $2R$, and a planet of mass $m$ is equidistant between them, the potential energy of the planet is given by:
$$E_p = \frac{-2GMm}{R}$$
This …
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2
answers
506
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Why doesn't limiting friction contradict Newton's Third Law?
$R$ = Normal reaction force exerted on the particle by the ground
$Fr$ = Frictional contact force between the particle and the ground
All forces are measured in Newtons ($N$)
Using the angles w …
2
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3
answers
1k
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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
answer
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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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1
answer
300
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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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1
answer
2k
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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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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 …
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1
answer
614
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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 …
2
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1
answer
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What force caused the Earth to have a tangential velocity to its circular motion around the ...
The gravitational pull of the Sun acts as the centripetal force, accelerating the Earth towards it and causing the Earth to revolve in an orbit. However, there must have been an initial force to give …