To calculate the applied force (thrust) of a stomp rocket, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a).
In this case, the mass (m) refers to the total mass of the rocket and the person stomping on it. Since you've provided the mass of the rocket (14.29g), it is essential to convert the mass of the person from pounds to kilograms (kg) for consistency.
To do this, follow these steps:
1. Convert the mass of the person from pounds to kilograms.
- 1 pound ≈ 0.4536 kilograms.
- Multiply the mass of the person in pounds (104 pounds) by 0.4536 to get the mass in kilograms.
2. Calculate the total mass (m) of the system.
- Add the mass of the rocket (converted to kilograms) and the mass of the person (converted to kilograms).
Now that you have the total mass (m) of the system, further steps are required to calculate the applied force (thrust).
3. Calculate the acceleration (a) of the rocket.
- To find the acceleration, we need to know the change in velocity and the time it took to reach that velocity.
4. Determine the change in velocity.
- This can be calculated using the height the rocket reached (22.5 m) and the initial velocity (0 m/s) since it started from rest.
5. Calculate the time it took for the rocket to reach the given height.
- To calculate this, it is necessary to know the initial velocity, the acceleration due to gravity (9.8 m/s^2), and the height reached.
- You can use the kinematic equation: vf^2 = vi^2 + 2aΔx, where vf is the final velocity, vi is the initial velocity, a is the acceleration, and Δx is the change in position.
Finally, with the acceleration (a) and the total mass (m) of the system known, you can determine the applied force (thrust) using Newton's second law of motion (F = m * a).
Remember to double-check all the units and conversions to ensure the calculations are consistent.