How Is Newton's Third Law Applied in Calculating Forces on a Lawn Mower?

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SUMMARY

The discussion focuses on applying Newton's Third Law to calculate forces acting on a lawn mower with a mass of 17.9 kg. A force of 32.9 N is applied at an angle of 35.1 degrees, resulting in an acceleration of 1.37 m/s² for 0.58 seconds. Key calculations include determining the normal force, frictional force, maximum velocity, and the force required to maintain constant velocity. The approach emphasizes breaking down the applied force into horizontal and vertical components to accurately assess the forces involved.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of vector decomposition
  • Familiarity with kinematic equations
  • Concept of frictional forces and normal forces
NEXT STEPS
  • Calculate the normal force using the formula: Normal Force = Weight - Vertical Component of Applied Force
  • Determine the frictional force using the equation: Frictional Force = Applied Force - Horizontal Component of Applied Force
  • Learn about kinematic equations to find maximum velocity after acceleration
  • Explore the relationship between applied force and frictional force at constant velocity
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the practical applications of Newton's laws in real-world scenarios, particularly in mechanics and force analysis.

F.B
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I hate all of Newton's laws questions. They are so complicated. Can anyone please help me with this question.

A boy pushes a lawn mower (m=17.9 kg) starts from rest across a horizontal lawn by applying a force of 32.9 N straight along the handle, which is inclined at an angle of 35.1 degrees above the horizontal. The magnitude of the mowers acceleration is 1.37 m/s^2, which lasts for 0.58 s, after which the mower moves at a constant velocity. Determine the magnitude of
a)the normal force on the mower
b)the frictional force on the mower
c)the maximum velocity of the answer
d)the force applied by the boy needed to maintain the constant velocity

This is a long question so please help with what you know.
 
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Please show what you've done/tried.

Divide the force into horizontal and vertical components. Do remember to take into account the increase in normal force (the push is party directed vertically).
 

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