Challenging Vector Problem: How Can Beetle 2 Reach the New Location of Beetle 1?

  • Thread starter Thread starter Cathartics
  • Start date Start date
  • Tags Tags
    Vector
AI Thread Summary
The discussion centers on a vector problem involving two beetles running on flat sand, with the goal of determining the necessary magnitude and direction of Beetle 2's second run to reach Beetle 1's final position. The calculations provided by the user for the vectors are incorrect due to a misunderstanding of the angle measurements; Beetle 2's angle should be measured from east rather than north. The user is encouraged to adjust their calculations accordingly, particularly for Vector C, to achieve the correct results. The importance of accurately interpreting the angles in vector problems is emphasized, as it directly affects the outcome. Clarifying these vector components will lead to the correct solution for Beetle 2's movement.
Cathartics
Messages
27
Reaction score
0
******Challenging Vector Problem******

Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.50 m due east, then 0.82 m at 26° north of due east. Beetle 2 also makes two runs and the first is 1.6 m at 43° east of due north.
(a) What must be the magnitude of its second run if it is to end up at the new location of beetle 1?
Answer in m

(b) In what direction must it run?
Answer in ° (counterclockwise from due east)

I have made numerous attempts to the problem here is one of my attempts

Vector A =.50 i + 0 j
Vector B = .82 cos26 i + .82 sin26 j = .7370 i + .3594 j
Vector C = 1.6 cos43 i + 1.6 sin43 j = 1.1701 i + 1.0911 j

I did A+B - C and that was R = .0669 i + (-.7317) j
|R| = .7347m and angle = 84.77

What am i doing wrong when i plug the answers online it says I'm wrong! Please please help me on this. Can you please provide the exact answer along with the meathod i want to see the whole thing done...
Thanks in advance.
 
Physics news on Phys.org
Note that "north of due east" is different from "east of due north".
Draw in the angle in both cases... then look at your components.
 
It's still unclear to me, despite my several attempts i am unable to solve it. Please help help help!
 
The angle given for beetle 2 is measured off of "north." Your calculations are set up as if the angle is measured off of "east."

Use the angle that beetle 2 makes with "east" instead of "north."
 
I think vector B is correct but Vector C is wrong.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top