What is the speed of a box pulled by a tension force after a given time?

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The discussion revolves around calculating the speed of a box being pulled by a tension force after 0.05 seconds on a frictionless surface. The tension force is given in vector form, requiring the user to find its magnitude to proceed with the calculations. The user is familiar with the equations of motion but struggles with the vector notation and how to apply it to determine the final speed. Key equations discussed include the relationship between force, mass, and velocity. Understanding vector components is essential for solving this problem accurately.
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Homework Statement



4. A box of mass M=10 kg is at rest on a frictionless level surface (like an ideally smooth
ice rink). A rope tied to the box is pulled horizontally, such that the tension in the rope is
(vector-->)T = 75 ˆx + 25 ˆz N, where both the x-axis and the z-axis are parallel to the floor. What is
the speed of the box after 0.05 seconds?
1. 0.395 m/s
2. 0.264 m/s
3. 0.198 m/s
4. 0.158 m/s
5. 0.132 m/s
6. 0.000 m/s



Homework Equations



pf = pi +Fnet*dt

The Attempt at a Solution



I know how to solve this problem, I'm just having trouble when it comes to the vectors in this case.

Pf = pi + Fnet*dt
{pi = 0) so..

Pf = Fnet*dt

p = mv

mvf = Fnet* dt

vf = (Fnet *dt)/m

But I'm stuck on the vectors...please help!
 
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I don't quite understand your notation... Can you explain them?

This question is quite fundamental... Since the force is given in vector form, you must first find the magnitude of the force. It should be clear where you should be heading to afterwards.
 
Notation for which part?
 

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