Preston pushes a wheelbarrow weighing 500 N to the top of a 50.0-m ramp, inclined at 20.0° with the horizontal, and leaves it. Tamara accidentally bumps the wheelbarrow. It slides back down the ramp, during which an 80.0-N frictional force acts on it over the 50.0 m. What is the wheelbarrow's kinetic energy at the bottom at of the ramp

Respuesta :

Answer:

[tex]E_{kinetic}=4551Joules[/tex]

Explanation:

The principe of work and energy is applied:

[tex]E_{final}=E_{initial}+Work[/tex]

[tex]E_{kinetic}=mgh-F*d[/tex]

The Work is negative because the Friction Force has a opposite direction as the displacement vector

The height is:

[tex]h=d*sin\theta[/tex]

We replace this value in the Energy equation (mg=500N):

[tex]E_{kinetic}=mg*d*sin\theta-F*d=500*50*sin20.0-80*50=4551Joules[/tex]

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