Two forces act on a object with different magnitudes and direction

[qtgrl120]

Homework Statement

Two forces act on a 48 kg object. One force has magnitude 65N directed 59° clockwise from the positive x-axis and the other has a magnitude 35N at 32° clockwise from the positive y-axis. What is the magnitude of this object's acceleration?

Homework Equations

F = ma
and there's prob more equations...

The Attempt at a Solution

I really do not know how to solve this one. I know you need to use the angles and cos and sin somewhere but I am really confused. Help?!

 

[tiny-tim]

Welcome to PF!

Two forces act on a 48 kg object. One force has magnitude 65N directed 59° clockwise from the positive x-axis and the other has a magnitude 35N at 32° clockwise from the positive y-axis. What is the magnitude of this object's acceleration?

Hi qtgrl120! Welcome to PF!

Forces are vectors, so use vector addition (or just add the components) to find the total force.

 

[thomate1]

I can provide some guidance on how to approach this problem. The first step would be to draw a diagram, labeling the forces and angles given in the problem. This will help you visualize the situation and determine the direction of the net force acting on the object.

Next, you can use the equations F = ma and ΣF = ma to solve for the magnitude of the acceleration. Since there are two forces acting on the object, you will need to use vector addition to find the net force. This can be done by breaking down the forces into their x and y components, using trigonometric functions to find these components.

Once you have the net force, you can plug it into the equation ΣF = ma and solve for the acceleration. Remember to include the mass of the object in your calculations.

I would also recommend reviewing any relevant concepts or equations related to forces and acceleration, such as Newton's laws of motion and vector addition. With practice and careful attention to units and directions, you should be able to solve this problem successfully.