Question

The work done in pulling up a block of wood weighing $2\, kN$ for a length of $10\, m$ on a smooth plane inclined at an angle of $15^{\circ}$ with the horizontal is

• A. 9.82 kJ
• B. 89 kJ
• C. 4.35 kJ
• D. 5.17 kJ

Answer 1

The Correct Option is D

Here : Weight of block $w=2\, kN$,
Distance $d=10\, m$
Angle of inclination on the plane $\alpha=15^{\circ}$
The block will be pulled up on a smooth plane
Hence, force of resistance due to inclination
$F =w \sin \alpha=2 \times 10^{3} \sin 15^{\circ}$
$=2 \times 10^{3} \times 02588$
$=0.5176\, kN$
Now work done,
$W=F d =0.5176 \times 10^{3} \times 10$
$=5.17\, kJ$