Question

If you double the kinetic energy of an arrow, by what factor does its speed increase?

(a) 2

(b) 4

(c) same

(d) √2

The question was asked by my school principal while I was bunking the class.

My doubt is from Kinetic Energy Correction and Momentum Correction Factors topic in chapter Viscous Flow & Turbulent Flow of Fluid Mechanics

Answer 1

Right option is (d) √2

Best explanation: Kinetic energy depends upon velocity and mass. The relation between K.E with mass and velocity is K.E= 0.5mv^2. If we double the kinetic energy, the velocity has to be increased by a factor equal to the square root of two.