The kinetic energy of a particle depends on the square of speed of the particle. If the error in measurement of speed is 30%, the error in the measurement of kinetic energy will be

Asked by Anil | 17th May, 2017, 09:39: PM

Expert Answer:

begin mathsize 12px style KE space proportional to space straight v squared
KE subscript 2 over KE subscript 1 space equals open parentheses space fraction numerator straight v subscript 1 superscript 2 over denominator straight v subscript 2 superscript 2 end fraction space close parentheses
Given space that space the space error space in space measure space of space speed space is space 30 percent sign divided by
therefore space KE subscript 2 over KE subscript 1 space equals open parentheses space fraction numerator 100 space plus space 30 over denominator 100 end fraction space close parentheses squared space space space space space space space space space
rightwards arrow KE subscript 2 over KE subscript 1 space equals space 1.69
rightwards arrow KE subscript 2 equals space 1.69 space KE subscript 1
Percentrage space change space in space kinetic space energy space is
fraction numerator KE subscript 2 space minus space KE subscript 1 over denominator KE subscript 1 end fraction space cross times space 100 space equals space fraction numerator 1.69 KE subscript 1 space space minus space KE subscript 1 over denominator KE subscript 1 end fraction space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 69 percent sign
end style

Answered by Yashvanti Jain | 18th May, 2017, 11:59: AM