Need help with force of spring needed to launch mass from catapult

In summary, the conversation discusses a physics calculation regarding a mass of 3kg being launched from a catapult with a gravitational acceleration of 9.81m/s^2 at an angle of 30 degrees from horizontal. The question is what spring constant is needed for the mass to leave the catapult at 20m/s. The conversation also mentions the formula for energy and reminds the individual to take into account the change in gravitational potential energy due to the angle of launch.
  • #1
DannyD
3
0
Hi All

I need help with a physics calculation.

I have a mass of 3kg that has to be launched for Earth (9.81m/s^2 gravitational acceleration) at an angle of 30 degrees from horizontal from a catapult. The distance the mass can travel in the catapult is 2m.

What I need to know is what is the spring constant that the spring needs to have in order for the mass to leave the catapult at 20m/s?

Kind regards
Danny
 
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  • #2
Are you familiar with the formulas of energy?
 
  • #3
Yes I am. I'm currently studying mechanical engineering, my brain is just still in holiday mode, if I can be directed in the right direction that would also help alot.

Regards
 
  • #4
Spring potential initial = Kinetic final
 
  • #5
Cool, thanks!
 
  • #6
But don't forget that the mass is launched at an angle, not horizontally, so that in addition to the KE change, the gravitational PE of the mass also changes, during its motion along the catapult.
 

FAQ: Need help with force of spring needed to launch mass from catapult

What is the force of the spring needed for a catapult?

The force of the spring needed for a catapult depends on several factors, including the mass of the projectile being launched, the desired distance and velocity of the launch, and the design and strength of the catapult itself. It is not a one-size-fits-all answer and will require specific calculations for each individual catapult.

How do I calculate the force of the spring for my catapult?

To calculate the force of the spring needed for your catapult, you will need to use Hooke's Law, which states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed. You will also need to consider the other factors mentioned in question 1 to determine the required force for your specific catapult.

Can I use any type of spring for my catapult?

No, you cannot use any type of spring for your catapult. The type of spring used will depend on the design and mechanics of your catapult. Some common types of springs used in catapults include torsion springs, compression springs, and tension springs.

How does the force of the spring affect the launch of the projectile?

The force of the spring is one of the key factors that determine the launch of the projectile. A stronger force will result in a higher launch velocity and a longer distance traveled by the projectile. However, if the force is too strong, it can cause the projectile to overshoot the target or even break the catapult.

Can I adjust the force of the spring for different launches?

Yes, you can adjust the force of the spring for different launches by changing the tension of the spring. This can be done by adjusting the length or position of the spring, or by using a different type of spring. It is important to carefully calculate and test the force for each launch to ensure the best results.

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