What is the force applied to a moving object?

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To determine the force applied to a moving object, first calculate the change in velocity in both the x and y directions over the given time interval. Using the formula F=ma, find the acceleration by dividing the change in velocity by the time elapsed. It is essential to analyze the problem by breaking it down into components and considering the object's motion in the x-y plane. Drawing a qualitative diagram can help visualize the initial and final velocities. This approach will lead to a clearer understanding of the forces acting on the object.
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Homework Statement



A 1-kg object is moving in the x direction at 17.1 m/s. Just 3.75 s later, it is moving at 30.9 m/s at 30.3° to the x axis. What are the magnitude and direction of the force applied during this time?

Homework Equations


F=ma


The Attempt at a Solution


I have no idea on how to do this problem!
 
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Try approaching the problem by considering the force in the x and y directions separately. That's usually a good first approach in anything related to Newton's Laws or kinematics in my opinion.

If you can find the change in velocity in the x and y direction, you can then find the acceleration in the two directions, which would give you the force applied.

A more useful thread title and more effort on your part to attempt the problem would help you in the long run.
 


Assume that the object is moving in the x-y (horizontal plane). Draw a picture (qualitative) showing the object location and velocity vector at times t = 0, and t = 3.75 s. What are the x- and y components of the object's velocity at time t = 0, and t = 3.75 s? This should give you some idea of what to do next.
 
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