Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor burn in 30 seconds?

The sun doesn’t shine as brightly in winter as it does in summer. This means that in winter you won’t generate enough to fulfil your energy needs whilst you have a surplus of energy in summer. It is therefore necessary to place a battery in your house to store the extra energy. If we assume that we generate 66% of our total energy in the months April to September and that we use equal amounts of energy throughout the year. How much electricity must we store over these 6 months to use in the other half of the year? Give your answer in 3 significant figures. Remember we use 2990kWh of electricity per year.

How much energy is required to lift the 9000-kg Soyuz vehicle from Earth's surface to the height of the ISS, 400 km above the surface? (3.32 x 1010 J)

A 51-kg satellite is put into orbit and has 152 MJ of kinetic energy. How high above the Earth's surface is the orbit?

A microwave oven has a power requirement of 1,243 W. A frozen dinner requires 6.5 min to heat on full power. (a) How much electrical energy (in kWh) is used?   (b) If the cost of electricity is 14¢ per kWh, how much does it cost to heat the dinner? (Do not round your final answer. Fractional cent values are acceptable.)

A 7,800 kg space capsule is 150 m above the Moon. If the Moon has a gravitational acceleration of 1.63 m/s^2, what is the gravitational potential energy of the capsule?

A hot water heater in a residential home runs for an average of 3.2 hours per day with a heat energy input of 3.7 kW.  What would be the annual cost for hot water in this home using a gas hot water heater if the cost of natural gas is $0.33/m3?  The gas water heater can get 23 MJ of energy from 1 m3 of natural gas. [round your final answer to zero decimal places]?

What volume (in m3) of natural gas would it take to generate 4.18 x 108 J of energy if the energy content of natural gas is 36.4 MJ/m3 [round your final answer to one decimal place]?

After sitting on a shelf for a while, a can of soda at a room temperature (73∘73∘F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is 37∘37∘F. Newton's Law of Cooling explains that the temperature of the can of soda will decrease proportionally to the difference between the temperature of the can of soda and the temperature of the refrigerator, as given by the formula below: �=��+(�0−��)�−��T=Ta​+(T0​−Ta​)e−kt ��=Ta​= the temperature surrounding the object�0=T0​= the initial temperature of the object�=t= the time in minutes�=T= the temperature of the object after �t minutes�=k= decay constant The can of soda reaches the temperature of 53∘53∘F after 30 minutes. Using this information, find the value of �k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the can of soda, to the nearest degree, after 60 minutes. Enter only the final temperature into the input box.

Solar Impulse 2 is a Swiss long-range experimental solar-powered aircraft project. What are the key technologies that make transcontinental flights possible?