Analytical method of vector addition

AI Thread Summary
To determine the force Joe must apply to the lawn spreader, the acceleration is calculated as 0.927 m/s². The force required can be derived using Newton's second law, F=ma, where m is the mass of the spreader. Since the handle is at a 45° angle, the horizontal component of the applied force must produce the calculated acceleration. The discussion emphasizes the importance of analyzing the force components to achieve the desired motion.
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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