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Energy conservation

Energy conservation

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Energy conservation -

Do full loads. Make sure your dishwasher and washing machine are full before running them to get the most energy-saving use from each run cycle.

Use smart power strips. Even when not in use, household electronics still draw power from outlets. Energy-saving smart power strips, which shut down appliances that have gone into standby mode, help you cut down on phantom-load costs, potentially resulting in money and energy savings.

Air-dry dishes and clothes. And instead of using the dryer on a nice day, hang your clothes outside to dry. Bake with glass or ceramic pans. Cook using the right-sized burner. Cut down on air leaks in your home.

Check your windows and doors for cracks and gaps, and seal them up with new weather stripping or caulk. Keep your house a little hotter in the summer and a little cooler in the winter. A good rule of thumb is to set the thermostat to 68 degrees Fahrenheit in the winter and to 78 in the summer.

More resources and tips on saving energy Check out these resources for more energy conservation ideas:. Explore Energy Plans in Your Area. Zip Code is not valid. So what's going to happen this time? I'm still 10 meters in the air, so let me draw that.

That's still 10 meters. I should switch colors just so not everything is ice. So that's still 10 meters, but instead of the object going straight down now, it's going to go down here and then start sliding, right?

It's going to go sliding along this hill. And then at this point it's going to be going really fast in the horizontal direction. And right now we don't know how fast. And just using our kinematics formula, this would have been a really tough formula.

This would have been difficult. I mean you could have attempted it and it actually would have taken calculus because the angle of the slope changes continuously. We don't even know the formula for the angle of the slope.

You would have had to break it out into vectors. You would have to do all sorts of complicated things. This would have been a nearly impossible problem. But using energy, we can actually figure out what the velocity of this object is at this point.

And we use the same idea. Here we have joules of potential energy. We just figured that out. Down here, what's the height above the ground? Well the height is 0. So all the potential energy has disappeared.

And just like in the previous situation, all of the potential energy is now converted into kinetic energy. And so what is that kinetic energy going to equal? It's going to be equal to the initial potential energy.

So here the kinetic energy is equal to joules. And if you solve for v, the mass is 1 kilogram. So the velocity in the horizontal direction will be, if you solve for it, Instead of going straight down, now it's going to be going in the horizontal to the right.

And the reason why I said it was ice is because I wanted this to be frictionless and I didn't want any energy lost to heat or anything like that. And you might say OK Sal, that's kind of interesting. And you kind of got the same number for the velocity than if I just dropped the object straight down.

And that's interesting. But what else can this do for me? And this is where it's really cool. Not only can I figure out the velocity when all of the potential energy has disappeared, but I can figure out the velocity of any point-- and this is fascinating-- along this slide. So let's say when the box is sliding down here, so let's say the box is at this point.

It changes colors too as it falls. So this is the 1 kilogram box, right? It falls and it slides down here. And let's say at this point it's height above the ground is 5 meters.

So what's its potential energy here? So let's just write something. All of the energy is conserved, right? So the initial potential energy plus the initial kinetic energy is equal to the final potential energy plus the final kinetic energy.

I'm just saying energy is conserved here. Up here, what's the initial total energy in the system? Well the potential energy is and the kinetic energy is 0 because it's stationary.

I haven't dropped it. I haven't let go of it yet. It's just stationary. So the initial energy is going to be equal to joules. That's cause this is 0 and this is So the initial energy is joules. At this point right here, what's the potential energy?

Well we're 5 meters up, so mass times gravity times height. Mass is 1, times gravity, 10 meters per second squared. Times height, times 5. So it's 50 joules. That's our potential energy at this point.

And then we must have some kinetic energy with the velocity going roughly in that direction. Plus our kinetic energy at this point. And we know that no energy was destroyed. It's just converted.

So we know the total energy still has to be joules. So essentially what happened, and if we solve for this-- it's very easy, subtract 50 from both sides-- we know that the kinetic energy is now also going to be equal to 50 joules.

So what happened? Halfway down, essentially half of the potential energy got converted to kinetic energy. And we can use this information that the kinetic energy is 50 joules to figure out the velocity at this point.

Multiply both sides by 2. You get v squared is equal to The velocity is 10 meters per second along this crazy, icy slide. And that is something that I would have challenged you to solve using traditional kinematics formulas, especially considering that we don't know really much about the surface of this slide.

And even if we did, that would have been a million times harder than just using the law of conservation of energy and realizing that at this point, half the potential energy is now kinetic energy and it's going along the direction of the slide.

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