Without the greenhouse effect operating in our atmosphere
2 answers:
You might be interested in
Answer:
The roller coaster is going at 39.1 m/s when it reaches the bottom
Explanation:
We use conservation of mechanical energy to solve this problem. So, we need to estimate the potential energy of the cart at the top of the hill while it is sitting steady there. Such will give us the cart initial Total Energy (TE) since its kinetic energy at that moment is zero (the cart is not moving, just sitting at the top of the hill).
Its initial potential energy (Ui) is therefore:
Notice also that all units given are in the SI system, (including the acceleration of gravity g) and therefore the answer is in Joules.
As we said, this initial potential energy equals the Total Energy (TE) of the roller coaster because its initial Kinetic Energy (Ki) is zero.
When we look at what happens the instant the cart reaches the bottom, at that point it has all kinetic energy and zero potential energy (h is zero at the bottom of the hill). Final Kinetic Energy is by definition: Kf =
Therefore, the conservation of mechanical energy tells us that:
We can solve for the final velocity of the roller coaster in this equation by solving for it in the equation:
The velocity should result with units of meters/second since all quantities were given in SI units.
The electric field at any point in the region between the conductors is proportional to the magnitude Q of charge on each conductor. It follows that:
"The potential difference Vab between the conductors is also proportional to Q"
If we double the magnitude of charge on each conductor, the charge density at each point doubles, the electric field at each point doubles, and the potential difference between conductors doubles; however, the ratio of charge to potential difference does not change. This ratio is called the capacitance C of the capacitor:
Given that:
and 
Lastly, the capacitance is given by:
"The potential difference Vab between the conductors is also proportional to Q"
If we double the magnitude of charge on each conductor, the charge density at each point doubles, the electric field at each point doubles, and the potential difference between conductors doubles; however, the ratio of charge to potential difference does not change. This ratio is called the capacitance C of the capacitor:
Given that:
Lastly, the capacitance is given by: