The stretch of a trampoline can be calculated by dividing the force applied to the trampoline (in Newtons) by the spring constant (in Newtons per meter). In this case, the stretch would be equal to the applied force divided by 52000 N/m.
The spring constant is a measure of the stiffness of a spring, and in this case, the trampoline. It determines how much the trampoline will stretch in response to a given force. A higher spring constant means a stiffer trampoline that will stretch less, while a lower spring constant means a more flexible trampoline that will stretch more.
The relationship between the spring constant and the amount of stretch in a trampoline is inverse. This means that as the spring constant increases, the amount of stretch decreases, and vice versa. A higher spring constant means a stiffer trampoline that will stretch less, while a lower spring constant means a more flexible trampoline that will stretch more.
Air resistance does not typically have a significant effect on the calculation of trampoline stretch. This is because the force of air resistance is much smaller compared to the force applied to the trampoline by a person jumping on it. However, if the trampoline is being used in a high-wind environment, air resistance may need to be taken into account.
Other factors that may affect the calculation of trampoline stretch include the weight and size of the person jumping on the trampoline, the quality and condition of the trampoline springs, and the overall design and construction of the trampoline. Additionally, external forces such as wind or other objects on the trampoline can also affect the amount of stretch.