# Newtonian Dynamics: Mowing a Lawn

• JennV
In summary, the conversation is about a gardener using a push mower to mow a lawn at an angle of 39 degrees. The question asks how long it takes for the mower to accelerate through 2.90 m from rest, neglecting friction. The relevant equation is used to calculate the acceleration based on the applied force. The normal force is not considered in the horizontal displacement of the mower.
JennV

## Homework Statement

A gardener mows a level lawn with an old-fashioned push mower. The handle of the mower makes an angle of 39 degrees with the surface of the lawn. A 111 N force is applied along the handle of the 17.0 kg mower.

Neglecting friction, how long does it take for the mower to accelerate through 2.90 m from rest?

x=Vot+1/2at^2

## The Attempt at a Solution

I have already found the Normal force to be 236.6245634N.

take component of force in horizontal direction and find acceleration.(force - acceleration relation)

The legend said:
take component of force in horizontal direction and find acceleration.(force - acceleration relation)

Thank you so much for replying to me. But one more question, component of force in horizontal direction, as in the normal force or applied force?

applied force... that's because its the force causing displacement.

yeah... and i forgot the normal reaction does not play any role in the horizontal displacement of the machine(in this case) so there's no need to calculate it.

I got the question correct and finished on time! Thank you once again! =D

## 1. What is Newtonian Dynamics?

Newtonian Dynamics is a branch of classical mechanics that studies the motion of objects and explains the relationship between force, mass, and acceleration. It was developed by Sir Isaac Newton in the 17th century and is still used to understand and predict the motion of objects in our everyday lives.

## 2. How does Newtonian Dynamics apply to mowing a lawn?

When mowing a lawn, Newtonian Dynamics can be applied to understand the forces involved in pushing and maneuvering the lawn mower. It also explains the relationship between the mass of the lawn mower, the force applied to move it, and the resulting acceleration.

## 3. What is the role of force in mowing a lawn according to Newtonian Dynamics?

In Newtonian Dynamics, force is defined as any push or pull that can cause an object to change its motion. When mowing a lawn, the force applied to push the lawn mower determines the speed and direction of the mower.

## 4. How does Newton's First Law of Motion apply to mowing a lawn?

Newton's First Law of Motion states that an object will remain at rest or in motion with constant velocity unless acted upon by an external force. This applies to mowing a lawn as the lawn mower will continue to move in a straight line at a constant speed unless a force (such as turning or pushing) is applied to change its motion.

## 5. What are some examples of Newton's Third Law of Motion in mowing a lawn?

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. In mowing a lawn, this can be seen when the lawn mower exerts a downward force on the grass, causing the grass to push back with an equal force. This is what allows the blades of the lawn mower to cut the grass.

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