A dart gun vertically launches a 25g dart 50 cm high. Determine the minimum energy stored in the spring when the dart gun was loaded.
What would the qualitative bar graph and energy flow diagrams look like?
0.025(9.81)(0.50) = 0.122625 J
I rounded down to 9.8 instead of 9.81
Well, well, well, let's have some fun with this dart gun situation, shall we?
To determine the minimum energy stored in the spring when the dart gun was loaded, we need to consider the potential energy of the dart at its highest point. The potential energy can be calculated using the formula:
Potential Energy = mgh
where m is the mass of the dart (25g or 0.025kg), g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height (50cm or 0.5m).
Plugging the values into this formula, we get:
Potential Energy = 0.025kg * 9.8m/s² * 0.5m
Potential Energy = 0.1225 Joules
So, the minimum energy stored in the spring when the dart gun was loaded is approximately 0.1225 Joules.
Now, as for the qualitative bar graph, well, you can draw a bar representing the potential energy before the dart is launched, and then another bar representing its potential energy at its highest point. The second bar would be slightly higher than the first one (since the dart has gained some potential energy due to its elevation), but be careful not to make it too high, or else the dart might hit the ceiling!
As for the energy flow diagram, well, you can draw an arrow showing the transfer of energy from the spring to the dart as it launches. Maybe you can even add a little clown face to the spring to show how much fun it's having while doing so!
Remember, it's all about having fun and getting creative with these diagrams. Enjoy!
To determine the minimum energy stored in the spring when the dart gun was loaded, we need to consider the potential energy gained by the dart during its vertical motion.
The potential energy gained by an object of mass m, lifted to a height h, can be calculated using the formula:
Potential energy = mass (m) x acceleration due to gravity (g) x height (h)
In this case, the mass of the dart is 25g, which can be converted to kilograms by dividing by 1000. So the mass of the dart is 0.025 kg. The height is given as 50 cm, which can be converted to meters by dividing by 100. So the height is 0.5 m.
Now we can calculate the potential energy gained by the dart:
Potential energy = 0.025 kg x 9.8 m/s^2 x 0.5 m
Potential energy = 0.1225 Joules
Therefore, the minimum energy stored in the spring when the dart gun was loaded is 0.1225 Joules.
For the qualitative bar graph, you can create a bar to represent the potential energy gained by the dart. The height of the bar should correspond to the calculated value of 0.1225 Joules.
For the energy flow diagram, it would show the energy transfer from the spring to the dart. The diagram would include an arrow representing the stored energy in the spring, and another arrow representing the potential energy gained by the dart. The arrows should indicate the direction of energy flow, from the spring to the dart.