In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vi to vf, undergoing displacement s given by s=xf-xi.

Required:

a. Find the accerlation a of the particle

b. Find the force F acting on the particle

c. Find the net work W done on the particle by the external forces during the particle's motion.

Question

Physics

Zane

27 December, 18:32

In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vi to vf, undergoing displacement s given by s=xf-xi.

Required:

a. Find the accerlation a of the particle

b. Find the force F acting on the particle

c. Find the net work W done on the particle by the external forces during the particle's motion.

+3

Answers (1)

Know the Answer?

Teresa Keller · Answer 1

a)

Work done by force = change in kinetic energy

F x s = (vf² - vi²) / 2m

F = (vf² - vi²) / 2ms

acceleration = (vf² - vi²) / 2m²s

b)

F = (vf² - vi²) / 2ms [ calculated above ]

c)

Work done by force

= change in kinetic energy

= (vf² - vi²) / 2m