Right now (late 2015), the difference is about 256 miles.
The geographic north pole is the point where the north end of the
Earth's rotation axis sticks out of the ground. As long as the Earth
continues to spin on the same 'pencil', the geographic poles don't move.
The magnetic north pole is the point on Earth that magnetic compasses
point to. The magnetic poles are the result of the flowing, shifting liquid
iron in the Earth's core, and they move. The magnetic north pole is presently
somewhere in the Canadian Arctic territory, about 256 miles south of the
geographic pole, and moving westward towards Russia at about 35 miles a year.
1) Let's call
the speed of the southbound boat, and
the speed of the eastbound boat, which is 3 mph faster than the southbound boat. We can write the law of motion for the two boats:
2) After a time
, the two boats are
apart. Using the laws of motion written at step 1, we can write the distance the two boats covered:
The two boats travelled in perpendicular directions. Therefore, we can imagine the distance between them (45 mi) being the hypotenuse of a triangle, of which
and
are the two sides. Therefore, we can use Pythagorean theorem and write:
Solving this, we find two solutions. Discarding the negative solution, we have
, which is the speed of the southbound boat.
Explanation:
The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G(capital g). The relation between G and g is not proportional. That means they are independent entities.
G and g
In physics, G and g can be related mathematically as –
\(g=\frac{GM}{R^{2}}\)
Where,
1=g is the acceleration due to the gravity of any massive body measured in m/s2.
2=G is the universal gravitational constant measured in Nm2/kg2.
3=R is the radius of the massive body measured in km.
4=M is the mass of the massive body measured in Kg.
As the engine heats up, a natural circulation starts, as coolant rises through the engine block by convection. It passes through the top hose, and into the radiator. Inside the radiator, heat is removed from the coolant as it falls from the top to the bottom.
Hope this helps!