lucia wants to change the motion map shown so that it shows uniform circular motion. what change should…

lucia wants to change the motion map shown so that it shows uniform circular motion. what change should lucia make? she should change the length of each vector that is tangent to the circle so that it is the same as the vector pointing toward the center at that point. she should change the direction of the vectors that are toward the center of the circle so that each points tangent to the circle opposite the existing tangent vectors. she should change the direction of the vectors that are toward the center of the circle so that each points away from the center of the circle. she should change the lengths of the vectors that point toward the center so that each is the same length.

lucia wants to change the motion map shown so that it shows uniform circular motion. what change should lucia make? she should change the length of each vector that is tangent to the circle so that it is the same as the vector pointing toward the center at that point. she should change the direction of the vectors that are toward the center of the circle so that each points tangent to the circle opposite the existing tangent vectors. she should change the direction of the vectors that are toward the center of the circle so that each points away from the center of the circle. she should change the lengths of the vectors that point toward the center so that each is the same length.

Answer

Explanation:

Step1: Recall uniform circular motion

In uniform circular motion, the speed is constant and the centripetal - force vector always points towards the center of the circle and has a constant magnitude, and the velocity vector is always tangent to the circle and has a constant magnitude.

Step2: Analyze the options

  • Option 1: Changing the length of the tangent vectors to match the radial vectors at a point is incorrect as the magnitudes of tangent (velocity) and radial (centripetal - force) vectors are not related in this way in uniform circular motion.
  • Option 2: Changing the direction of the radial vectors to point opposite to the tangent vectors is incorrect as the centripetal force must point towards the center of the circle.
  • Option 3: Changing the direction of the radial vectors to point away from the center is incorrect as the centripetal force must point towards the center.
  • Option 4: In uniform circular motion, the centripetal force (represented by the vectors pointing towards the center) has a constant magnitude. So, she should change the lengths of the vectors that point toward the center so that each is the same length.

Answer:

She should change the lengths of the vectors that point toward the center so that each is the same length.