A block of mass $20 \mathrm{kg}$ is slowly slid up on a smooth incline of inclination $53°$ by a person. Calculate the work done by the person in moving the block through a distance of $4 \mathrm{m},$ if the driving force is (a) parallel to the incline and (b) in the horizontal direction. $[g=10 \mathrm{m} {\mathrm{s}}^{-2}]$

Adjacent figure shows the force–displacement graph of a moving body, what is the work done by this force in displacing body from $x=0 \mathrm{to} x=35 \mathrm{m}?$

A $10 \mathrm{kg}$ mass moves along $x$-axis. Its acceleration as function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from $x=0 \mathrm{to} x=8 \mathrm{cm}?$

Figure shows a particle sliding on a frictionless track which terminates in a straight horizontal section. If the particle starts slipping from the point $A$, how far away from the track will the particle hit the ground?