Question

state work energy principal establish a mathematical expression for it​

Answer 1

Answer:

The work-energy principle states that an increase in the kinetic energy of a rigid body is caused by an equal amount of positive work done on the body by the resultant force acting on that body. Conversely, a decrease in kinetic energy is caused by an equal amount of negative work done by the resultant force

Explanation:

Answer 2

For the sake of simplicity, we will consider the case in which the resultant force F is constant in both magnitude and direction and is parallel to the velocity of the particle. The particle is moving with constant acceleration a along a straight line. The relationship between the net force and the acceleration is given by the equation F = ma (Newton’s second law), and the particle’s displacement d, can be determined from the equation:

v

2

f

=

v

2

i

+

2

ad

obtaining,

d

=

v

2

f

−

v

2

i

2

a

The work of the net force is calculated as the product of its magnitude (F=ma) and the particle’s displacement. Substituting the above equations yields:

W

=

Fd

=

ma

v

2

f

−

v

2

i

2

a

=

1

2

mv

2

f

−

1

2

mv

2

i

=

KE

f

−

KE

i

=

Δ

KE