By derivation pulling an object is easier than pushing. But in many cases pushing an object is easier than pulling it. So, What are the conditions that pulling is easier pushing will be true?
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Solution
The ease with which you push or pull depends on the amount of friction acting on it.
When you pull with a force F, the vertical component of force will be upward. So the net vertical force will be less than weight of lawn mower. So the normal force will be less(N = mg - F sinФ, where Ф is the angle with which you are pulling) and hence friction will be less.
When you push with a force F, the vertical component of force will be downward. So the net vertical force will be more than weight of lawn mower. So the normal force will be more(N = mg + F sinФ, where Ф is the angle with which you are pushing) and hence friction will be more.