Imagine that you again push on a door, but
now push 1 and push 2 are applied at the same
place, near the door knob. Again, both pushes are
equally hard and equally long. The only difference
is that push 1 is perpendicular to the door, while
push 2 is at an angle, as drawn here. Although the
exact angle doesn’t matter, make it reasonably
small, under 45°.
Which push will produce a bigger torque? Intuitively, why is that?

Question

Imagine that you again push on a door, but 
now push 1 and push 2 are applied at the same 
place, near the door knob. Again, both pushes are 
equally hard and equally long. The only difference 
is that push 1 is perpendicular to the door, while 
push 2 is at an angle, as drawn here. Although the 
exact angle doesn’t matter, make it reasonably 
small, under 45°. 
Which push will produce a bigger torque? Intuitively, why is that?