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A buzzard is flying 98m above the Earth's surface. Assuming g = 9.8N/kg, what is the mass of the buzzard if the gravitational potential energy stored is 5,403J?​

User GRZa
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1 Answer

2 votes

Answer:

Approximately
5.6\; {\rm kg}.

Step-by-step explanation:

In a uniform gravitational field, the gravitational potential energy
(\text{GPE}) of an object can be found with the following equation:


(\text{GPE}) = m\,g \, h,

Where:


  • m is the mass of this object,

  • g is the gravitational field strength, and

  • h is the height of the object above a given surface where
    (\text{GPE}) is
    0 (e.g., the ground.)

In this question, it is given that
g = 9.8\; {\rm N\cdot kg^(-1)} and
h = 98\; {\rm m}. Rearrange the expression for
(\text{GPE}) to find
m:


\begin{aligned}m &= \frac{(\text{GPE})}{g\, h} \\ &= (5403)/((9.8)\, (98))\; {\rm kg} \\ &\approx 5.6\; {\rm kg}\end{aligned}.

In other words, the mass of this object would be approximately
5.6\; {\rm kg}.

User Jesseplymale
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8.8k points

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