Analytical method of vector addition

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Homework Help Overview

The problem involves calculating the force required for Joe to accelerate a 10 kg lawn spreader from rest to a speed of 1.39 m/s over 1.5 seconds, with the handle positioned at a 45° angle to the horizontal. The context includes neglecting friction in the analysis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration and the implications of the angle of the handle on the force required. Questions arise regarding the direction of acceleration and how it relates to the force components.

Discussion Status

Participants are exploring the relationship between the calculated acceleration and the necessary force components. Some guidance has been provided regarding the direction of the acceleration and its implications for the horizontal component of the force.

Contextual Notes

There is a focus on the free body diagram and the components of force, with an emphasis on understanding the direction of acceleration in relation to the applied force.

cDamann
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Homework Statement


Joe pushes on the handle of a 10 kg lawn spreader. The handle makes a 45° angle with the horizontal. Joe wishes to accelerate the spreader from rest to 1.39 m/s in 1.5s. What force must Joe apply to the handle? Neglect friction.


Homework Equations


A=Vf-Vi/t. F=ma


The Attempt at a Solution


i calculated the acceleration being 1.39-0/1.5= 0.927m/s squared.
i honestly don't know what to do next, please help.
 
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cDamann said:

Homework Statement


Joe pushes on the handle of a 10 kg lawn spreader. The handle makes a 45° angle with the horizontal. Joe wishes to accelerate the spreader from rest to 1.39 m/s in 1.5s. What force must Joe apply to the handle? Neglect friction.

Homework Equations


A=Vf-Vi/t. F=ma

The Attempt at a Solution


i calculated the acceleration being 1.39-0/1.5= 0.927m/s squared.
i honestly don't know what to do next, please help.
What is the direction that acceleration must have?
 
looking at a free body diagram on the page of the lawn spreader, the acceleration is going →.
 
cDamann said:
looking at a free body diagram on the page of the lawn spreader, the acceleration is going →.
Correct.

So the horizontal component of the force must be able to produce that acceleration.
 

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