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Tensions in Two Dimensions

  • Thread starter wilso119
  • Start date
  • #1
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Homework Statement


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
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?

Homework Equations


Magnitude of T = (75^2 + 25^2)^(1/2) = 79 N
weight of box = 10 kg * 9.8 m/s^2 = 98 N

The Attempt at a Solution


Because the weight of the box is greater than the tension force, the box should not move, right?
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
5
The weight of the box is balanced by the normal reaction of the surface.
Using Newton's second law find the acceleration and then the velocity.
 
  • #3
2
0
I got it! Thanks so much! That ended up being much easier than I was making it!
 

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