Analytical method of vector addition

[cDamann]

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.

 

[SammyS]

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?

 

[cDamann]

looking at a free body diagram on the page of the lawn spreader, the acceleration is going →.

 

[SammyS]

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.