How Do Forces Affect Motion in 2D Kinematics?

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Forces affect motion in 2D kinematics by requiring the application of Newton's second law, F = ma, to determine acceleration. In this scenario, a 0.5 kg mass traveling at 1200 m/s in the -x direction experiences a force of (2.3i + 0.093j) N. The acceleration can be calculated by considering both components of the applied force, impacting the motion in both x and y directions. A vector approach is recommended to resolve velocities and forces, allowing for independent calculations of position and velocity over time. Understanding these principles is essential for solving 2D motion problems effectively.
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Homework Statement



Lets say I have a .5kg mass traveling at 1200 m/s in the -x direction with 0 acceleration. The force applied to this mass is (2.3i + .093j)N. I have to find position, velocity, and acceleration at say 1 second after the force is applied. No gravitational force involved.





The Attempt at a Solution



F = ma will give me the acceleration. Should I just consider the force applied in the x direction? 2.3 N? I've only dealt with 1-d kinematics to this point...it seems the y force will only come into play for position...I could be wrong though.
 
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Vector approach is suitable for this kind of problem . resolve the velocities and forces and apply Newton's eqn of motion and equations of motion in straight line to solve the velocities and position at every time in x and y direction independently!
 
Freeze3018 said:
Vector approach is suitable for this kind of problem . resolve the velocities and forces and apply Newton's eqn of motion and equations of motion in straight line to solve the velocities and position at every time in x and y direction independently!

thanks i see how to do it now.
 
Ur welcome buddy!
 
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