Catapult Projectile Range: Calculate w/Varied Mass

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In summary, a catapult operates by using a counterweight on one side and launching a projectile at a 45 degree angle. It works similar to a see-saw, with the projectile on one end and the counterweight on the other. The range of the projectile can be calculated by ignoring air resistance and assuming a constant launch velocity. Therefore, the mass of the projectile will not affect the theoretical range. This information is helpful for comparing results to theoretical calculations.
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a catapult that shoots at 45 degrees, with counterweight on one side.
the catapult is similar to a see-saw, where projectile is placed on one end, and the counterweight to another end.
the counterweight is lifted to a 45degrees and released.

is there any way to find the theoretical range of the projectile... when changing the projectile mass.
 
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Welcome to PF,

If one ignores air resistance and assumes that the launch velocity is invariant, then the range of the projectile will be independent of it's mass.
 
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thanks for the prompt reply.
i was wondering whether there are any equations to find the theoretical range of the projectile been thrown off the catapault. as I am comparing my results to the theoretical results.
 

1. How does the mass of the projectile affect its range?

The mass of the projectile has a direct impact on its range. The greater the mass, the greater the force that is required to launch it from the catapult, resulting in a longer range. This is because a heavier projectile has more momentum and thus travels further before being affected by air resistance.

2. How do I calculate the range of a catapult projectile with varied mass?

To calculate the range of a catapult projectile with varied mass, you will need to use the following formula: Range = (velocity squared x sin(2θ)) / gravitational acceleration. The velocity and angle of launch will remain constant, but the mass will be varied and plugged into the formula to determine the range.

3. What is the gravitational acceleration used in the range calculation?

The gravitational acceleration used in the range calculation is typically 9.8 m/s². This is the standard acceleration due to gravity on Earth and is used in most physics calculations involving projectile motion.

4. How do you determine the angle of launch for a catapult projectile?

The angle of launch for a catapult projectile can be determined using the following formula: θ = arctan((2h) / d), where h is the height from which the projectile is launched and d is the horizontal distance to the target. This angle will ensure the greatest range for the projectile.

5. Can other factors besides mass affect the range of a catapult projectile?

Yes, there are other factors besides mass that can affect the range of a catapult projectile. These include the angle of launch, air resistance, wind speed, and the type of catapult used. The mass of the projectile is just one factor that must be considered when calculating range.

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