Recent content by Alexander350

Homework Statement Homework Equations Moment of inertia Torque Angular momentum The Attempt at a Solution I think I can understand the physics of the situation. There will be a torque on the bus due to gravity while the back of it remains in contact with the cliff and it will start to rotate...

Smugglers set off in a ship in a direction perpendicular to a straight shore and move at a constant speed v. The coastguard's cutter is a distance a along the shore from the smugglers' ship, and leaves the shore at the same time. The cutter always moves at a constant speed directly towards the...

It is definitely not constant. It is equal to the relative displacement between two things which are getting closer together over time. If it is not constant, does that make this approach impossible to solve?

How does this help when |r| is not constant? And where does the \frac 1 {|r|} come from on the constant?

No, v is just a number. It would be the same question if you replaced kv with another constant c.

v is just a constant number.

This is what it was written as initially, but the problem is that the absolute value of the vector also changes with time, so I did not know what to do.

I need to solve: \dot{\mathbf{r}}=-kv\hat{r} - \dot{\mathbf{r}_s} However, I do not know how to deal with the fact that there is a unit vector. How can this be done? \dot{\mathbf{r}_s} is a constant vector.

Even trying to use conservation of momentum, I always end up with the kinetic energy of one of the masses equalling the potential energy of the system. This cannot be right as then there would be twice as much energy as there actually is. How do I set up the equations as I am obviously...

I have been thinking about this for a while and am still not sure how to derive it. The problem is that both the objects move different distances, so how can you calculate the work done on them?

It looks correct to me. Substituting it back into the original equation satisfies it.

I tried using the Bernoulli equation to solve this. I took two points at the surface of the water in both the containers and formed this equation: gh_{b}=\frac{1}{2}v^2+gh This is assuming that the velocity of the water in the large tank is approximately zero and using the fact that both the...

If you had two masses, m_{1} and m_{2}, and you released them in space infinitely far apart, their kinetic energies would satisfy \frac{1}{2}m_{1}v_{1}^2+\frac{1}{2}m_{2}v_{2}^2=\frac{Gm_{1}m_{2}}{r} if they met with a distance r between their centres of mass. This equation therefore tells you...

Homework Statement Basically there is a results table for the time taken for 20 oscillations. Three examples are 9.90, 11.16 and 12.68. I need to work out the time period to the correct number of significant figures. Homework EquationsThe Attempt at a Solution I divide by 20 to get the time...

In the Classical Mechanics volume of The Theoretical Minimum, he writes a shorthand equation for a small change in a function. Please could someone explain exactly what it means and where it comes from?