11) A 0.2 kg apple on an apple tree has a potential energy of 10 J. It falls to
the ground, converting all of its PE to kinetic energy. What is the velocity
of the apple just before it hits the ground?
Now choose from one of the following options Why?
Om/s
2 m/s
10 m/s
50 m/s

Respuesta :

Answer is 10m/s........

The velocity of the apple just before it hits the ground is 10 m/s.

The given parameters;

  • mass of the apple, m = 0.2 kg
  • potential energy of the apple, P.E = 10 J

Apply the principle of conservation of mechanical energy to determine the velocity of the apple before it hits the ground.

K.E = P.E

¹/₂mv² = 10

mv² = 2(10)

mv² = 20

0.2v² = 20

[tex]v^2 = \frac{20}{0.2} \\\\v^2 = 100\\\\v = \sqrt{100} \\\\v = 10 \ m/s[/tex]

Thus, the velocity of the apple just before it hits the ground is 10 m/s.

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