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a boulder sitting on a 45 m tall cliff has a potential energy of 7,100 J. the acceleration due to gravity is 9.8 m/s^2. what is the mass of the boulder

Respuesta :

Lanuel

The mass of the boulder is equal to 16.10 kilograms.

Given the following data:

  • Height of cliff = 45 m
  • Potential energy = 7,100 Joules
  • Acceleration due to gravity = 9.8 [tex]m/s^2[/tex]

To determine the mass of the boulder:

Mathematically, potential energy (P.E) is calculated by using the following formula:

[tex]P.E = mgh[/tex]

Where:

  • m is the mass of object.
  • g is the acceleration due to gravity.
  • h is the height of an object.

Making m the subject of formula, we have:

[tex]m = \frac{P.E}{gh}[/tex]

Substituting the given parameters into the formula, we have;

[tex]m=\frac{7100}{9.8 \times 45} \\\\m=\frac{7100}{441}[/tex]

Mass, m = 16.10 kg

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