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Work, Energy And Power

Question
CBSEENPH11020828

Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take g constant with a value 10 m/s2. The work done by the (i) gravitational force and the (ii) resistive force of air is

  • (i) – 10 J (ii) –8.25 J

  • (i) 1.25 J (ii) –8.25 J

  • (i) 100 J (ii) 8.75 J

  • (i) 10 J (ii) –8.75 J

Solution

D.

(i) 10 J (ii) –8.75 J

wg+ wa= Kf– Ki
mgh space plus space straight w subscript straight a space equals space 1 half mv squared space minus 0
10 to the power of negative 3 end exponent space straight x space 10 space space straight x space 10 cubed space plus space straight w subscript straight a space equals space 1 half space straight x space 10 to the power of negative 3 end exponent space straight x space left parenthesis 50 right parenthesis squared

wa= –8.75 J i.e. work done due to air resistance and work done due to gravity = 10 J