Answer:
[tex]-0.5mv^2[/tex]
Explanation:
Given:
Mass of marble =[tex]m[/tex]
Initial velocity of marble = [tex]v[/tex]
Final velocity of marble = 0 as it comes to rest.
By work energy theorem:
Work done by forces acting on marble is given by :
Work done = Final Kinetic energy - Initial Kinetic energy
Kinetic energy can be calculate using formula:
[tex]K.E.=\frac{1}{2}mv^2=0.5mv^2[/tex]
where [tex]m[/tex] represents mass of body and [tex]v[/tex] represents velocity of body.
Final kinetic energy:
[tex]K.E.=0.5m(0)^2=0[/tex]
Initial kinetic energy
[tex]K.E.=0.5m(v)^2=0.5mv^2[/tex]
Work done by friction on the marble [tex]=0-0.5mv^2=-0.5mv^2[/tex]