Ben set up a volleyball net in his backyard. one of the poles, which forms a right angle with the ground, is 7 feet high. to secure the pole, he attached a rope from the top of the pole to a stake 11 feet from the bottom of the pole. find the length of the rope. (round to the nearest tenth of a foot, if necessary).

Wavelength,frequency,and energy are related.what happens to a wave as it’s wavelength gets shorter?

Air is contained in a variable-load piston-cylinder device equipped with a paddle wheel. initially, air is at 400 kpa and 17°c. the paddle wheel is now turned by an external electric motor until 75 kj/kg of work has been transferred to air. during this process, heat is transferred to maintain a constant air temperature while allowing the gas volume to triple. calculate the required amount of heat transfer in kj/kg.

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)