Answer:1.63 m
Explanation:
Given
mass of block [tex]m=0.5 kg[/tex]
inclination [tex]\theta =30^{\circ}[/tex]
Amount of work done [tex]W=4 J[/tex]
block slides a distance s along the Plane
Work done =change in Potential Energy
Increase in height of block is [tex]s\sin \theta [/tex]
Change in Potential Energy [tex]=mg(\sin \theta -0)[/tex]
[tex]\Delta P.E.=0.5\times 9.8\times s\sin 30[/tex]
[tex]4=0.5\times 9.8\times s\sin 30[/tex]
[tex]s=\frac{4}{2.45}[/tex]
[tex]s=1.63 m[/tex]
