Question

According to the work-energy theorem, the amount of work done can be determined using which formula?

Answer 1

Answer:

$W=\Delta KE= KE_f-KE_i=\frac{1}{2} \,m \,v_f^2-\frac{1}{2} \,m \,v_i^2$

Explanation:

The Work-Kinetic Energy Theorem states that the work done on a particle of mass "m", equals the particle's change in Kinetic Energy (final Kinetic Energy of the particle "$KE_f$" minus the initial Kinetic energy of the particle "$KE_i$"), and it is expressed as:

$W=\Delta KE= KE_f-KE_i=\frac{1}{2} \,m \,v_f^2-\frac{1}{2} \,m \,v_i^2$

where we have used the explicit form of the KE of a particle of mass m and velocity $v$. Of course, $v_f$ stands for the final velocity of the particle, and $v_i$ for the particle's initial velocity.