Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please solve only part b.) I will rate. Thank you! Question 2: Forces and Conser

ID: 3309078 • Letter: P

Question

Please solve only part b.) I will rate. Thank you!

Question 2: Forces and Conservation Laws (25 points) A particle moving in the ry plane experiences a force of the following form: where a and b are non-zero constants. (a) (15 points) Is this a conservative force? If so, tell me the potential energy that it's derived from. If not, prove that it's not conservative. (b) (10 points) Now suppose that b-0. In that case, when a particle moves under the influence of this force, are any quantities conserved? If so, which quantities are conserved? Explain why you know that these quantities are conserved. You don't have to give me formulas for the quantities, just words like "energy" or "the z component of momentum" or whatever else may or may not be conserved. For each conserved quantity you should also write a sentence saying why it is conserved in this case.

Explanation / Answer

If b is taken as zero, the force is a conservative force since, since the curl of the force becomes zero. The energy is conserved when the motion takes place due to this force. The motion becomes path independent as the work done is dependent only on the initial position and final position.