menu
Super! As the surface is perfectly smooth, there is no friction anymore. So, the net force on the football is $$0$$. If the net force is $$0$$, from $$F = m a$$, the acceleration $$a = \frac{F}{m} = 0$$. As $$a = 0$$, the ball's velocity doesn't change.
Force is a vector object. So, like velocity and acceleration, it also has x- and y-components. The equations are $$F_x = m a_x$$ and $$F_y = m a_y$$.
As shown here, a force of $$10 \, \mathrm{N}$$ is being exerted on a block of mass $$4 \, \mathrm{kg}$$. The force is being applied at an angle of $$30 ^{\circ}$$. What are $$a_x, a_y$$?
• $$a_x = \frac{10}{4}, \, a_y = 0$$
• $$a_x = 0, \, a_y = \frac{10}{4}$$
• $$a_x = \frac{10 \cos 30}{4}, \, a_y = \frac{10 \sin 30}{4}$$
• $$a_x = \frac{10 \sin 30}{4}, \, a_y = \frac{10 \cos 30}{4}$$