determine the direction and magnitude of the resultant of following velocities  inpressed on a particle;8m/s due south,12m/s due east ,3root2 m/s due north east.

Asked by hrushikesh.barik | 11th Oct, 2017, 09:42: PM

Expert Answer:

  begin mathsize 12px style Velocities space in space north space and space south space can space be space given space as space straight v subscript 1 equals left parenthesis 8 minus 3 square root of 2 right parenthesis space straight m divided by straight s end style
 begin mathsize 12px style space because space they space are space opposite space in space direction space with space resultant space in space the space south space direction.
square root of 2 equals 1.414 space space and space straight v subscript 2 equals 12 straight m divided by straight s space. Use space formula space for space resultant space velocity
straight R equals square root of straight V subscript 1 squared plus straight V subscript 2 squared plus 2 straight V subscript 1 straight V subscript 2 cosθ end root space space here space straight theta equals 90 space degree end style
Use begin mathsize 12px style straight theta equals tan to the power of negative 1 end exponent left parenthesis straight V subscript 2 over straight V subscript 1 right parenthesis space for space the space direction end style

Answered by Gajendra | 27th Nov, 2017, 06:32: PM