Projectile Motion spring launch

In summary, the conversation discusses finding the force needed from a spring to launch a mass of 800g to a length of 0.875m at an angle of 45º. The suggested solution is to break the problem into two parts: first, use projectile motion equations to calculate the required launch velocity, and second, use spring equations to determine how to achieve that velocity over the available compression length. However, there seems to be a lack of information in the problem statement.
  • #1
BoydC1996
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Homework Statement


I am trying to find the force needed from a spring to launch a mass of 800g to a length of 0.875m. This launch would be at the optimum angle of 45º. I am aware of all projectile motion equations but am having difficulty linking them to force and thus solving the problem itself.

Homework Equations


v^2=u^2+2as, v=u+at, s=ut+1/2at^2

The Attempt at a Solution

 
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  • #2
You need to break the problem into two parts.

Part 1: Use projectile motion equations to calculate the required launch velocity.
Part 2: Use spring equations to work out how to achieve that velocity over whatever length of spring compression is available.

You don't appear to have enough information in the problem statement.
 
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1. What is projectile motion spring launch?

Projectile motion spring launch is a type of motion that occurs when an object is launched through the air using a spring. The object follows a curved path known as a parabola, due to the combination of its horizontal and vertical motion.

2. How does a spring launch affect projectile motion?

A spring launch affects projectile motion by providing an initial force that propels the object forward. This force is applied in one direction, causing the object to accelerate and follow a curved path. The spring force decreases as the object moves further away from the spring, resulting in a decrease in acceleration.

3. What factors affect the trajectory of a projectile launched with a spring?

The trajectory of a projectile launched with a spring is affected by several factors, including the initial launch angle, the initial velocity, the mass of the object, and the force applied by the spring. The air resistance and gravity also play a role in determining the trajectory of the projectile.

4. What is the optimal launch angle for a projectile launched with a spring?

The optimal launch angle for a projectile launched with a spring depends on a variety of factors, including the initial velocity, the mass of the object, and the force applied by the spring. In general, a launch angle between 45 and 60 degrees produces the greatest horizontal distance traveled.

5. How is the range of a projectile launched with a spring calculated?

The range of a projectile launched with a spring can be calculated using the equation R = (v^2 * sin(2θ)) / g, where R is the range, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. This equation assumes no air resistance and a level surface.

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