Question

Kinetic energy of a particle depends on mass and velocity show that the kinetic energy of the particle is 1/2 mv^2

Answer 1

Answer:

Explanation:

formula = KE = 1/2 mv²

W is F s

v² - u² = 2as where v is final velocity, u is initial velocity, s is distance travelled, a is acceleration.

and F is mass × acceleration, F=m × a

W = ma × $\frac{v^{2} - u^{2} }{2a }$

W = $\frac{1}{2}m (v^{2}-u^{2})$

if the object is starting from its stationary position, that is u = 0

$W = \frac{1}{2}mv^{2}$