It is easier to pull a lawn roller than to push it. Explain with the h...
The force applied to move a body depends upon effective force applied on it including its weight. As effective weight in the case of pulling is less than in the pushing, less force is required in pulling. Hence, it is easier to pull than to push.
In case of pulling, effective weight of lawn mover = mg-f sin θ
In case of pushing, effective weight = mg+ f sin θ
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It is easier to pull a lawn roller than to push it. Explain with the h...
Introduction:
To understand why it is easier to pull a lawn roller than to push it, we can analyze the situation using the concept of vector resolution. Vector resolution allows us to break down a vector into its horizontal and vertical components, which can help us understand the forces involved in pushing or pulling an object.
Vector Components:
When we push or pull an object, there are two main forces acting on it: the force we apply (F) and the force of friction (Ff) between the object and the ground. In this case, the force of friction can be broken down into two components: the horizontal component (Ffh) and the vertical component (Ffv).
Pushing the Lawn Roller:
When we push the lawn roller, the force we apply (F) is directed horizontally. The force of friction (Ff) opposes the motion and is directed opposite to the applied force. We can break down the force of friction into its horizontal component (Ffh) and vertical component (Ffv).
Force Analysis:
- The horizontal component of the force of friction (Ffh) opposes the applied force (F) and reduces the forward motion of the lawn roller.
- The vertical component of the force of friction (Ffv) acts perpendicular to the ground and does not affect the forward motion of the lawn roller.
Pulling the Lawn Roller:
When we pull the lawn roller, the force we apply (F) is directed horizontally, but in the opposite direction of the desired motion. The force of friction (Ff) still opposes the motion, but this time it is directed in the same direction as the applied force. Again, we can break down the force of friction into its horizontal component (Ffh) and vertical component (Ffv).
Force Analysis:
- The horizontal component of the force of friction (Ffh) now assists the applied force (F) and increases the forward motion of the lawn roller.
- The vertical component of the force of friction (Ffv) still acts perpendicular to the ground and does not affect the forward motion of the lawn roller.
Conclusion:
From the force analysis, it is evident that when pulling the lawn roller, the horizontal component of the force of friction assists the applied force, making it easier to move the object. On the other hand, when pushing the lawn roller, the horizontal component of the force of friction opposes the applied force, making it more difficult to move the object. Therefore, it is easier to pull a lawn roller than to push it.