Calculating acceleration in X and y direction

In summary, to find the acceleration of an object being pulled by a 35.3 N force at a 23.8 degree angle to the horizontal, you need to consider both the horizontal and vertical components of the net force. Remember to use the equation Fnet=ma and don't forget to make a free body diagram.
  • #1
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Homework Statement


What will the Acceleration be in the x-direction and the y-direction if there is a 35.3 N force pulling on a 3.8kg object at a 23.8 Degree angle to the horizontal?


Homework Equations


Fnet=ma
sohcahtoa


The Attempt at a Solution


I tried to do simply put f=ma and do 35.3=3.8kg * A.
but that gave me the wrong answer. What did I do wrong?
 
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  • #2
First, remember that Fnet is a vector, so you have to consider both the horizontal and vertical components that make up the net force, and the 22.8 degree angle you have is going to affect the magnitude of your components. Hopefully this helps, and don't forget to make an FBD.
 

1. How do you calculate acceleration in the X and Y directions?

To calculate acceleration in the X direction, you need to divide the change in velocity (ΔV) by the change in time (Δt). This can be represented as a = (ΔVx/Δt), where a is the acceleration in the X direction. Similarly, to calculate acceleration in the Y direction, you need to divide the change in velocity in the Y direction (ΔVy) by the change in time (Δt). This can be represented as a = (ΔVy/Δt).

2. Why is it important to calculate acceleration in the X and Y directions separately?

Calculating acceleration in the X and Y directions separately allows us to understand the motion of an object in two-dimensional space. This is important because many real-world scenarios involve objects moving in multiple directions, and knowing the acceleration in each direction allows us to accurately predict the future motion of the object.

3. What units are used to measure acceleration in the X and Y directions?

Acceleration is measured in units of distance per time squared, such as meters per second squared (m/s^2). This applies to both the X and Y directions.

4. Can acceleration in the X and Y directions be negative?

Yes, acceleration in both the X and Y directions can be negative. This indicates that the object is slowing down in that direction, or accelerating in the opposite direction.

5. How can I use the calculated acceleration in the X and Y directions to determine the overall acceleration of an object?

To determine the overall acceleration of an object, you can use the Pythagorean theorem to calculate the magnitude of the acceleration vector. This is represented as a = √(ax^2 + ay^2), where ax is the acceleration in the X direction and ay is the acceleration in the Y direction. This will give you the overall magnitude and direction of the object's acceleration.

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