Question

Catapult Calculations:

Weight of Catapult: 41 grams
Catapult Length: 15cm
Catapult Width: 14cm
Catapult Height: 14.5cm
First Launch: 282cm
Second Launch: 299cm
Avg. Launch: 290.5cm
Accuracy Part
First Launch: 125cm from target
Second Launch: 97 cm from target
Avg. distance from target: 111cm from target
Calculate:
Energy required for launching the projectile
 Maximum height reached by the projectile
 Time of flight
 Spring constant if elastic potential energy is used
 Height required if gravitational potential energy is used
 Force delivered by the launching mechanism
 Acceleration of the projectile at the time of launching
 Graph of distance covered by projectile Vs energy delivered
 Any other relevant parameters

Answer 1

Due to insufficient information provided (e.g., projectile mass, additional forces), it is not possible to accurately calculate the required parameters for the catapult or provide meaningful analysis.

Answer 2

To calculate the energy required for launching the projectile, use the formula: Energy = (1/2) * mass * velocity^2. Maximum height reached by the projectile can be calculated using the formula: Maximum height = (velocity^2) / (2 * gravitational acceleration). The time of flight can be calculated as twice the average launch distance divided by the average velocity.

Step-by-step explanation:

To calculate the energy required for launching the projectile, we can use the formula:

Energy = (1/2) * mass * velocity^2

Where the mass of the projectile can be calculated as the weight divided by the acceleration due to gravity and the velocity is the average launch distance divided by the time of flight. To determine the maximum height reached by the projectile, we can use the formula:
Maximum height = (velocity^2) / (2 * gravitational acceleration)

The time of flight can be calculated as twice the average launch distance divided by the average velocity. The spring constant can be determined using the formula:
Spring constant = (weight * gravitational acceleration) / (extension of the spring)

The height required if gravitational potential energy is used can be calculated using the formula:
Height required = (mass * gravitational acceleration) / (2 * gravitational potential energy)

The force delivered by the launching mechanism can be determined using the formula:
Force = (mass * gravitational acceleration) + (spring constant * extension of the spring)

The acceleration of the projectile at the time of launching can be calculated using the formula:
Acceleration = (spring constant * extension of the spring) / mass

Unfortunately, without specific values for the weight of the projectile or the extension of the spring, we cannot provide concrete answers for these calculations. However, you can use the given formulas to calculate these values with the provided measurements.