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Question
- two great snipe birds are migrating. both birds have a mass of 100 grams and are flying at 90 kilometers per hour. bird r is flying 2.0 km above the ground, and bird q is flying 2.5 km above the ground. based on the information above, which statement best describes the energy of the two birds?
bird q
bird r
- bird q and bird r have the same kinetic energy and potential energy.
- bird q and bird r have the same kinetic energy but different potential energy
- bird q and bird r have no kinetic energy but have the same potential energy.
- bird q and bird r have the same potential energy but different kinetic energy
To determine the energy of the two birds, we analyze kinetic energy (KE) and potential energy (PE).
Step 1: Analyze Kinetic Energy
The formula for kinetic energy is \( KE = \frac{1}{2}mv^2 \), where \( m \) is mass and \( v \) is velocity. Both birds have the same mass (\( 100 \, \text{g} \)) and the same velocity (\( 90 \, \text{km/h} \)). Since \( m \) and \( v \) are identical, their kinetic energies are equal.
Step 2: Analyze Potential Energy
The formula for gravitational potential energy is \( PE = mgh \), where \( m \) is mass, \( g \) is acceleration due to gravity, and \( h \) is height above the ground. Both birds have the same mass (\( m \)) and \( g \) is constant, but Bird Q is at \( 2.5 \, \text{km} \) and Bird R is at \( 2.0 \, \text{km} \) (different \( h \)). Thus, their potential energies differ.
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Bird Q and Bird R have the same kinetic energy but different potential energy