Question

How much force is required to push a 100 N wooden block up a friction less plane that is inclined at an angle of ${30}^o$ with the horizontal so that it has an acceleration along the plane of $2.5m/s^2$?

Answer 1

$F-mg\sin \theta =ma$

And , weight $=mg=100N$

$⟹m=\frac{100}{g}=10kg$

Hence, $F=100\times \frac{1}{2}+10\times 2.5$

$⟹F=75N$