Answer:
Explanation:
Given
mass of block is m
inclination of ramp is [tex]\theta [/tex]
Initial kinetic energy [tex]\frac{1}{2}mv_0^2[/tex]
Length of ramp is L
Block move a distance of L so it moves a vertical distance of [tex]L\sin \theta[/tex]
Applying work Energy theorem i.e. change in kinetic energy of object is equal to work done by all the forces
Initial kinetic energy [tex]K.E._i=\frac{1}{2}mv_0^2 [/tex]
Final kinetic energy [tex]K.E._f=0[/tex]
[tex]K.E._i-K.E._f=Work\ done\ by\ kinetic\ friction+work\ done\ by\ gravity[/tex]
[tex]\frac{1}{2}mv_0^2=W_f+W_g[/tex]
[tex]W_f=\frac{1}{2}mv_0^2-mgL\sin \theta [/tex]
