Order the following objects from least potential energy to the greatest potential energy.
**Remember PE=mgh**
Reorder answers
1.2 kg mass at 60 m height
Reorder answers
2.40 kg mass at 2 m height
Reorder answers
3.5 kg mass at 5 m height
Reorder answers
4.20 kg mass at 50 m height
Here are the objects ordered from least potential energy to greatest potential energy:
1. 2.40 kg mass at 2 m height (PE = 2.40 x 9.81 x 2 = 47.04 J)
2. 5 kg mass at 5 m height (PE = 5 x 9.81 x 5 = 245.25 J)
3. 20 kg mass at 50 m height (PE = 20 x 9.81 x 50 = 9810 J)
4. 1.2 kg mass at 60 m height (PE = 1.2 x 9.81 x 60 = 706.32 J)
To order the objects from least potential energy to the greatest potential energy, we can calculate the potential energy for each object using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height of the object.
1. Let's first calculate the potential energy for the 1.2 kg mass at 60 m height:
PE = (1.2 kg) * (9.8 m/s^2) * (60 m) = 705.6 J
2. Next, let's calculate the potential energy for the 40 kg mass at 2 m height:
PE = (40 kg) * (9.8 m/s^2) * (2 m) = 784 J
3. Then, let's calculate the potential energy for the 5 kg mass at 5 m height:
PE = (5 kg) * (9.8 m/s^2) * (5 m) = 245 J
4. Finally, let's calculate the potential energy for the 20 kg mass at 50 m height:
PE = (20 kg) * (9.8 m/s^2) * (50 m) = 9,800 J
Now, let's reorder the list from least to greatest:
1. 5 kg mass at 5 m height (245 J)
2. 40 kg mass at 2 m height (784 J)
3. 1.2 kg mass at 60 m height (705.6 J)
4. 20 kg mass at 50 m height (9,800 J)
To reorder the objects from least potential energy to the greatest potential energy, we need to calculate the potential energy for each object using the formula PE = mgh. Let's calculate the potential energy for each object:
1. 2 kg mass at 60 m height:
PE = (2 kg)(9.8 m/s^2)(60 m) = 1,176 J
2. 40 kg mass at 2 m height:
PE = (40 kg)(9.8 m/s^2)(2 m) = 784 J
3. 5 kg mass at 5 m height:
PE = (5 kg)(9.8 m/s^2)(5 m) = 245 J
4. 20 kg mass at 50 m height:
PE = (20 kg)(9.8 m/s^2)(50 m) = 9,800 J
Now let's reorder the objects based on their potential energy:
The objects in order of least to greatest potential energy are:
1. 5 kg mass at 5 m height - 245 J
2. 40 kg mass at 2 m height - 784 J
3. 2 kg mass at 60 m height - 1,176 J
4. 20 kg mass at 50 m height - 9,800 J