Question

To understand the meaning and possible applications of the work-energy theorem.

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 vinitial to vfinal , undergoing displacement s given by s=xfinal−xinitial

Find the acceleration a of the particle.

Answer 1

a = V final 2___v initial2

28

Step-by-step explanation:

By definition for contant acceleration a = V final ___v initial

t

Furthermore the average speed is V abg = v initial +v final

2

Combine these relationships to eliminate t. 8 = Vabg t.