20kg
The higher something is, the more potential energy it has stored.
The skater has potential energy of 7,056 joules.
The reason a skater spins faster when she pulls her arms in is because of angular momentum. It is measured by mass x velocity x radius. Bringing her arms in changes her radius and velocity.
KE = 1/2mV2 KE = 1/2(30 kg)( 5m/s)2 = 750 joules of kinetic energy ===================
Potential energy is energy that has the potential to be moved. Kinetic energy is energy in motion. eg. Potential energy could be like a fire extinguisher that is on the wall it has the potential to fall on the ground . An example of Kinetic energy is would be a moving car, it is in motion .
The higher something is, the more potential energy it has stored.
The skater has potential energy of 7,056 joules.
When rolling down, potential energy is converted into kinetic energy. If there is no friction, this means the skater moves faster and faster. If there is energy (the usual situation), part of this movement energy (kinetic energy) will be converted into heat.
If the velocity is constant, it follows that the the sum of all forces on the ice skater is zero.
At rest at top of slope, it is all potential energy(mass * g * vertical distance to bottom of slope). Ignoring friction losses, this will translate to all kinetic energy at the bottom. kinetic energy = 0.5 * mass * velocity squaredexample:mass of sled + rider = 100 kgg = 9.82 ((m/s)/s) acceleration due to gravityvertical distance = 20 metresso:potential energy at slope top = 100 * 9.82 * 20 = 19 640 joulesso:kinetic energy at bottom = 19 640 joulesso :19 640 = 0.5 * 100 * velocity ^2so:velocity = square root (19 640 / (0.5 * 100))velocity = 19.82 metres / sec
Acceleration is change in velocity. These are vectors that have magnitude and direction. Changing either magnitude (speed) or direction will have the skater be accelerating. SO, if the skater is going at a constant speed of 2m/s in a straight line, he is not accelerating. If he is at a constant speed of 2m/s traveling in a circle (you gave the word "around"), he is accelerating. Going around in circles means there is a force constantly changing your direction. Obviously that force is coming from the skaters legs.
The reason a skater spins faster when she pulls her arms in is because of angular momentum. It is measured by mass x velocity x radius. Bringing her arms in changes her radius and velocity.
2430
There is a large conversion of chemical energy to mechanical energy in the body of the skater. Lots of that! (That may be part of the reason for being out there!) That is what the muscles are doing all the time - converting chemical energy to mechanical energy. The body is a chemical engine, and we convert chemical energy into mechanical energy every moment we are alive. There is more, so let's look! There will be conversion of potential energy to mechanical energy at all time the skater is in motion, too. And mechanical energy is converted to potential energy as well. This may not be obvious, but walking is a constant process of converting potential energy to mechanical energy and vice versa. When we walk, we lean forward and gravity begins to pull us down. We're converting potential energy into kinetic (mechanical) energy. We then put out a foot and lift ourselves back up that tiny bit that we "fell" and that's converting mechanical energy into potential energy because we "lifted" ourselves upright again. Then we start all over with the next step. Make sense? Walking, running or skating all put the same principles into motion. The mechanical energy of friction and its conversion into heat happens in the skates, particularly in the bearings and wheels. The motion - any at all - will create a bit of heat due to friction. The more the motion, the more mechanical energy is converted into heat. Even with good bearings that are properly lubricated, they assembly will warm up. The wheels will be warm to the touch after only a brief time of skating, too. You know why? Yup. Conversion of the mechanical energy of friction into heat energy. There's a lot going on when we skate!
KE = 1/2mV2 KE = 1/2(30 kg)( 5m/s)2 = 750 joules of kinetic energy ===================
Potential energy is energy that has the potential to be moved. Kinetic energy is energy in motion. eg. Potential energy could be like a fire extinguisher that is on the wall it has the potential to fall on the ground . An example of Kinetic energy is would be a moving car, it is in motion .
the equation for rotational kinetic energy (KE) is:.KE = 0.5 * I * ((rad / sec)^2), where I is the mass moment of inertia..so if the kinetic energy remains constant, the only thing that can alter the rotation rate (rad / sec), is I, the mass moment of inertia