'a slight push' is correct and usable in written English. It is usually used to refer to a small amount of force being applied to something. For example, "A slight push was all it took for the door to open."
A slight push of cool, stale air.
"At the moment the enemy has become so weak, they just need a slight push".
One curious passerby gave the fiberglass body a slight push; it tipped precariously.
On the final bend of the men's 500m final Ohno gave Tremblay a slight push.
Jefferson was so tired in the eighth round that Izon sent him to the canvas with a slight push.
A slight push on the gas pedal and there's an instant application of power, shifting weight to the rear and scooting the Forester out of the turn.
If U were the interior of a smooth simple closed curve, then one could envision a simple proof by considering the winding number around a given w in the unit disc of a slight push-in of the boundary of U. If the boundary were pushed in a small enough amount, then the image of the pushed-in boundary would be close to the edge of the unit disc.
Caine has trod this territory before.He wrote about his life in an earlier book, the 1992 "What's It All About?" But he is now Sir Michael Caine, so he has at least one new thing to talk about.Naturally, he has stories to tell about the day on which he was knighted.He noticed that in the queen's handshake "there is a very slight push towards you in case you have forgotten it is over".
And with a short walk and slight push of the door we found ourselves staring at a euphoric sea of college students moshing to possibly the biggest debt party of all -- student loans.
The force used to activate an electric sharpener --the slight push you give it--can be used to power the sharpener.
Vet move from Wallace here on an underthrow ball with the slight push (or shove) to the back of Cromarite.
Awesome tool! I started using it one year ago and I never had to look for another app
Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia