The dominant form of drag experienced by vehicles (bikes, cars, planes, etc.) at operating speeds is called form drag. it increases quadratically with velocity (essentially because the amount of air you run into increases with v and so does the amount of force you must exert on each small volume of air). thus fdrag = c dav2, where a is the cross-sectional area of the vehicle and cd is called the coefficient of drag.

consider a vehicle moving with constant velocity v. find the power dissipated by form drag.

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the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.