To determine the kinetic energy of the ball when it is dropped from different heights, we can use the formula for gravitational potential energy, which is converted into kinetic energy just before it hits the ground.
The potential energy (PE) at height \(h\) is given by: \[ PE = mgh \] where:
- \(m\) is the mass (10 kg),
- \(g\) is the acceleration due to gravity (approximately \(9.81 , \text{m/s}^2\)),
- \(h\) is the height from which the ball is dropped.
Calculating the potential energy for each height:
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Height = 1 meter: \[ PE = 10 , \text{kg} \times 9.81 , \text{m/s}^2 \times 1 , \text{m} = 98.1 , \text{J} \]
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Height = 2 meters: \[ PE = 10 , \text{kg} \times 9.81 , \text{m/s}^2 \times 2 , \text{m} = 196.2 , \text{J} \]
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Height = 3 meters: \[ PE = 10 , \text{kg} \times 9.81 , \text{m/s}^2 \times 3 , \text{m} = 294.3 , \text{J} \]
The kinetic energy (KE) just before the ball hits the ground will be equal to the gravitational potential energy at the height from which it was dropped. Therefore, we have:
- From 1 meter: \(KE = 98.1 , \text{J}\)
- From 2 meters: \(KE = 196.2 , \text{J}\)
- From 3 meters: \(KE = 294.3 , \text{J}\)
When creating a bar graph, the heights of the bars should reflect these kinetic energy values:
- Bar for 1 meter: 98.1 J
- Bar for 2 meters: 196.2 J
- Bar for 3 meters: 294.3 J
Look for a bar graph where the bar heights correspond to these values, which will show the kinetic energy increasing with height.
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