The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 x 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?

The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 x 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?

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In one of the videos I said that a typical American household uses energy at a rate of about 10,000 joules per second. A shorthand unit for this would be "10 kilowatts". Using energy at this rate costs about $1.50 per hour (this is not quite right, as it assumes that all the energy is electrical energy, which is relatively cheap, but let's go with this for an estimate). How much does this energy usage cost for a year?
(Please refer to Fig. 1) W = FAx (Equation 1) F = qE (Equation 2) APEelec = -W (Equation 3) Substituting Eq. 1 in Eq. 3, APE elec Then subs. Eq. 2 in Eq. 4, 4. What does q means in the derived equation? = -FAx (Equation 4) APE etec = -qEAx (Eq. 2.1) Which is what we need to derive.
A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.
Uranium-238 decays via the alpha decay process. Part (a) Calculate the energy released in units of megaelectron volts when a uranium-238 nucleus undergoes alpha decay. Part (b) What fraction of the mass of a single uranium-238 nucleus is destroyed in the decay? Part (c) Why is difficult to observe the change in mass for a macroscopic sample of uranium-238?
Question 1 Make the conversion of 2.4 Km/h2 to m/s2. O 6.67 E(-4) 1.85 E(-4) 1.85 E(-7) 0.67 1.5 Question 2 In solving a physics problem you end up with m in the numerator and m/s in the denom units for your answer are O m/s O m^2/s O m O 1/s Question 3
The mass of a star similar to the Sun is 2.04 ✕ 1030 kg, and the mass of an atom of hydrogen, of which the Sun is mostly composed, is 1.67 ✕ 10-27 kg. How many atoms are in the star?
the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
On Dec 5, 2022, scientific history was made at the Lawrence Livermore National Laboratory (LLNL) in Livermore, California when nuclear fusion was achieved when the 192 lasers deposited about 2 Megajoules (MJ) of energy into a frozen pea sized deuterium-tritium pellet and ignited the pellet through nuclear fusion to release 3 MJ of energy. The metric prefix mega means million (10^6). a) How much mass (kg) would be required to release 1 MJ of energy?
That's what I thought too! But the answer choices it gave were 8 m/s, 4 m/s, 2 m/s, and 6 m/s so I'm confused. I went with 8 and it was wrong.
A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds. How many bacteria occupy the culture a time t = 10s? At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died. Now use calculus to find the birth rate of bacteria (rate at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.
The chemical energy of gasoline is 46 MJ/kg. If gasoline’s mass could be completely converted into energy, what mass of gasoline would be needed to equal the chemical energy content of 1.0 kg of gasoline?
A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.