In a scenario where a block is sliding down an inclined plane, the component of gravitational force acting parallel to the incline is given by _____, where m is mass, g is the acceleration due to gravity, and α is the angle of incline.

The parallel component of gravity on an incline is found by projecting the weight onto the slope, giving \(mg\sin\alpha\). This comes from decomposing the weight vector \(mg\) into perpendicular and parallel parts relative to the plane. The perpendicular part is \(mg\cos\alpha\), while the remaining component pulls the block down the slope. For example, if a 5 kg block slides on a 30° incline, the downhill force is \(5\times9. 8\times\sin30^\circ \approx 24.