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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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
0 votes
3 answers
338 views

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 …
Pancake_Senpai's user avatar
6 votes
4 answers
2k views

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 …
Pancake_Senpai's user avatar
0 votes
2 answers
506 views

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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
-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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
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 …
Pancake_Senpai's user avatar
2 votes
1 answer
2k views

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 …
Pancake_Senpai's user avatar