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a. How much work is done when a 185g tomato is lifted 15.0m? b. The tomato is dropped. What is the velocity, v, of the tomato when it hits the ground? Assume 82.1 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground.

Respuesta :

Answer:

v = 18.92 m/s

Explanation:

given,

mass of the tomato = 185 g = 0.185 Kg

height of the lift, h = 15 m

work done by lifting the tomato will be equal to the potential energy gained by the tomato.

W = PE

W = m g h

W = 0.185 x 9.8 x 15

W = 27.195 J

now,

E = 82.1 % of KE

[tex]E = 0.821\times \dfrac{1}{2} m v^2[/tex]

[tex]27.195 = 0.821\times 0.5\times 0.185 \times v^2[/tex]

  0.07594 v² = 27.195

      v² = 358.099

      v = 18.92 m/s

speed of the tomato at which it hits ground is equal to 18.92 m/s.

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