A person stands at rest on a slope which makes an angle 25 degrees to the horizontal. They have a mass of 71 kg. They start to run up the slope. After a time of 9.9 s they reach a distance 29 m up the slope and have a velocity of 4.7 m/s.
(a) Calculate the vertical height gained.
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(b) Determine how much energy the person has used.
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(c) Calculate the average power output of the person.
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The step-down transformer gives a current of 10a at 24v if the primary voltage is 240v calculate the 1_primary current 2_the power input 3_the power output

Describe different biomes. what are some adaptations that organisms (plants or animals) must have to live in each biome?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r