If the k.e of a particle is tripled,by what factor has its speed increased?

AND THIS 1: If the speed of a particle is halved,by what factor does its k.e change?

2 Answers

Relevance
  • 9 years ago
    Favorite Answer

    let k and v be the initial kinetic energy and velocity

    k = ½mv²

    let K & V represent the new kinetic energy and velocity

    I'll do second part first

    if velocity is halved then V = ½v

    so

    K = ½mV² = ½m(½v)² = ½m(¼v²) = ¼(½mv²) = ¼k

    reduced to a quarter the initial kinetic energy

    ..........

    first part

    rearrange equation

    v = √(2k/m)

    if k is tripled then K=3k

    so

    V = √(2K/m) = √(2(3k)/m) = √3(√(2k/m)) = √3 v

    so velocity increases by √3

    ,..,,

    • Login to reply the answers
  • goober
    Lv 7
    9 years ago

    If the k.e of a particle is tripled,by what factor has its speed increased? sqrt(3)

    AND THIS 1: If the speed of a particle is halved,by what factor does its k.e change? 1/4

    • Login to reply the answers
Still have questions? Get your answers by asking now.