The approach I think you can take is to find the center of mass of the water when the tank is full and then find the center of mass of the same water volume when the water level is in the box car (i.e. after it has leaked). The center of mass should change because the tank is narrower than the boxcar.
So you can look at the water mass as moving from one height to another (i.e. change is center of mass). Take the entire mass of the water as the object that is moving. We then can use the conservation of energy to find the velocity of the boxcar. If the water were free-falling, then the speed would be along the y-axis. However, because the water stays in the boxcar, the y-forces are transferred along the x-axis and the boxcar is on frictionless rails the entire potential energy, <em>m * g * h</em> is converted to kinetic energy <em>1/2 * mv^2</em> Equate these two and solve for v. Note that the final velocity does not depend on mass at all, but you will need h, which will be the distance the center of gravity of the water system has moved.
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Answer:
Explanation:
Since the Earth's magnetic field is perpendicular to your direction of motion, the strength of the magnetic force exerted on your head is given by:
where:
is the charge on your head
is the speed at which you are moving
is the strength of the magnetic field of the Earth
By substituting these numbers into the equation, we find the strength of the magnetic force:
Answer:
Anything in an experiment that remains unchanged.
Explanation:
An example could be the temperature of the laboratory room. If there is something that has an effect on an experiment that is not variable, it is a constant. Another constant could be, say, if you were doing calculations with the same amount and kind of fluid throughout the experiment, then that fluid would also be a constant.
