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A diver has 3,400 J of gravitational potential energy after climbing
up onto a diving platform that is 6.0 m above the water. What is
the diver's mass in kilograms?

Respuesta :

Answer:

57.8kg

Explanation:

Potential energy is given by:

[tex]U =mgh[/tex]

Where U is potential energy, m is mass, g is acceleration due to gravity, and h is height. Using this equation:

[tex]3400=m(9.8)(6)\\3400=58.8m\\m=57.8kg[/tex]

Diver's mass in kilograms is 57.8kg.

Given:

Gravitational potential energy= 3,400 J

Height, h=6.0 m

Gravitational potential energy:

  • Gravitational potential energy is the energy stored in an object as the result of its vertical position or height.
  • The energy is stored as the result of the gravitational attraction of the Earth for the object.

Gravitational potential energy can be given as:

[tex]U=m.g.h[/tex]

where, m= mass, g= gravitational field and h= height

To find diver's mass, substitute the values in the above formula:

[tex]m=\frac{U}{g.h} \\\\=\frac{3400 J}{9.8m s^{-2}*6m} \\\\m=57.8 \text{kg}[/tex]

Diver's mass in kilograms is 57.8kg.

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