A box of mass 26 kg is initially at rest on a flat floor. The coefficient of kinetic friction between the box and the floor is 0.60. A woman pushes horizontally against the box with a force of 505 N until the box attains a speed of 2 m/s. What is the change in kinetic energy of the box?

Respuesta :

AMB000

Answer:

[tex]\Delta K = 52J[/tex]

Explanation:

The change in kinetic energy will be simply the difference between the final and initial kinetic energies: [tex]\Delta K=K_f-K_i[/tex]

We know that the formula for the kinetic energy for an object is:

[tex]K=\frac{mv^2}{2}[/tex]

where m is the mass of the object and v its velocity.

For our case then we have:

[tex]\Delta K = K_f-K_i=\frac{mv_f^2}{2}-\frac{mv_i^2}{2}=\frac{m(v_f^2-v_i^2)}{2}[/tex]

Which for our values is:

[tex]\Delta K = \frac{m(v_f^2-v_i^2)}{2} = \frac{(26Kg)((2m/s)^2-(0m/s)^2)}{2} = 52J[/tex]