At lower speeds, the kinetic energy is 1/2 mv2 (1/2 times mass times speed squared), but since we are approaching the speed of light, the more accurate formula is (note: I am using root() to indicate the square root):
mc2(1 / root(1 - (v/c)2) - 1), which in this case is (mass in kilograms) x (300,000,000 m/s)2 x (1 / (root(1 - 1/4)) - 1) = mass x 9x1016 x (1 / (root(3/4)) - 1) = mass x 9x1016 x (1 / 0.866 - 1) = mass x 9x1016 x (1.155 - 1) = mass x 9x1016 x 0.155 = 1.395 x 1016 (Joule for every kilogram).
Note 1: This is the kinetic energy content of the spaceship, and the minimum amount of energy required to accelerate it to that speed; if any energy is wasted, the total needed would of course be more.
Note 2: The standard (non-relativistic) formula is 1/2 x mass times (150,000,000 m/s)2 = 1.125 x 1016. This is somewhat lower than if you use the correct relativistic formula. The more you approach the speed of light, the larger will be the discrepancy between the relativistic formula and the classic formula. At less than 1% of the speed of light or so, the discrepancy is so small that it isn't worthwhile to use the more accurate (and more complicated) relativistic formula.
The energy needed to accelerate a spaceship to half the speed of light would be massive and difficult to quantify without knowing the specific mass of the spaceship. However, it would require an enormous amount of energy due to the relativistic effects of near-light-speed travel.
If the activation energy elated to travelling is high, then a large amount of energy is required to start a chemical reaction. After the reaction is initiated, less energy is needed.
The coaster have a large amount of potential energy when it gain height, kinetic energy when it gain speed instead.
Because they are metabolically very active.They need a huge amound of energy for their activites.
The large number of mitochondria in cardiac muscle cells is significant because these organelles produce ATP through aerobic respiration, which is essential for providing the energy needed for the continuous and rhythmic contractions of the heart. This high energy demand is met by the abundant mitochondria in cardiac muscle cells, ensuring proper functioning of the heart muscle.
Water has a high specific heat capacity, meaning it can absorb a lot of heat energy before its temperature increases significantly. This is because the molecular structure of water allows for hydrogen bonding, which requires energy to break. As a result, a large amount of heat is needed to raise the temperature of water by a given amount.
The energy needed to cut down a tree depends on the size of the tree. Small trees need a less amount of energy than large trees.
yes
A rechargeable battery is a device that can store large amounts of electricity when it is unplugged. These batteries store energy chemically and convert it to electrical energy when needed.
If the activation energy elated to travelling is high, then a large amount of energy is required to start a chemical reaction. After the reaction is initiated, less energy is needed.
Cardiac cells are very active. A lot of energy is needed
too much energy is needed to vaporize water
energy source is inconsistent
To give a large boulder a large acceleration, a significant force must be applied to overcome its inertia and resistance to motion. This force needs to be sustained over a period of time to accelerate the boulder to the desired speed. Additionally, reducing friction between the boulder and the surface it rests on can help facilitate its acceleration.
Enzymes are proteins that act as biological catalysts. Catalysts are substances that accelerate a chemical reaction. They decrease the activation energy of a chemical reaction.
Yes, a supercritical mass of fissile material such as uranium or plutonium can accelerate until a nuclear explosion occurs. When the mass reaches a critical point, a rapid chain reaction takes place, releasing a large amount of energy in the form of heat and pressure, resulting in an explosion.
The number of thrusters on a spaceship can vary depending on the size and type of the spacecraft. Typically, a spaceship may have multiple thrusters, including main propulsion engines for large maneuvers and smaller thrusters for fine control and adjustments in orientation. Some spacecraft may have dozens of thrusters for different purposes.
Scientists like Saul Perlmutter believe that dark energy is the force responsible for counteracting gravity and driving the accelerated expansion of the universe. This mysterious form of energy has a repulsive effect and is thought to make up a large portion of the universe's energy density.