0
How much energy would be needed to accelerate a large spaceship to half the speed of light is?
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.
What else can I help you with?
What does it mean if the activation energy is high related to traveling?
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.
When does a coaster have a large amount of Kinetic Energy and when does it have a large amount of Potential Energy?
The coaster have a large amount of potential energy when it gain height, kinetic energy when it gain speed instead.
Why do muscles have large number of mitochondria?
Because they are metabolically very active.They need a huge amound of energy for their activites.
What is the significance of the large number of mitochondria in cardiac muscle cell?
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.
When an electron in the ground state absorbs energy what happens?
jumps to the a higher orbital. This is only possible if the energy it absorbed is large enough to let it jump the gap. If the energy is not large enough for the electron to jump that gap, the electron is forbidden to absorb any of that energy.
What is the energy needed to cut down a tree?
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.
Does the Large Hadron Collider accelerate antimatter?
yes
What device can store large amounts of electricity when unplugged?
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.
What does it mean if the activation energy is high related to traveling?
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.
Wind power is not typically used to generate all of the electricity needed for large cities because the?
energy source is inconsistent
Most methods of large scale desalinization are not cost effective because?
too much energy is needed to vaporize water
Why do cardiac muscle cells have a large number of mitochondria?
Cardiac cells are very active. A lot of energy is needed
What is needed to give a large boulder a large acceleration?
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.
What roles do enzyme play in digestion?
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.
Does a supercritical mass accelerate until an explosion occurs?
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.
How many thrusters are there on a spaceship?
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.
What force do scientists such as Saul Perlmutter believe is counteracting gravity and allowing the universe to accelerate the rate of its expansion?
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.
