Projectile & SHM: Solving a Physics Problem

In summary, the conversation discusses a physics problem involving a circus performer being fired from a cannon using strong elastic bands. The performer takes 2.14 seconds to travel 26.8m and the problem asks for the effective spring constant of the firing mechanism. The conversation also includes a discussion of the horizontal speed, stored energy, and potential involvement of Simple Harmonic Motion.
  • #1
kentus
11
0
Hey
i came across this physics problem in a uni textbook however i am stuck,

Q: A 70.0kg circus performer is fired from a cannon that is elevated at an angle of 40.0' (degrees) above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up fro this stunt involves stretching the bands by 3.00m from the unstrained length. At the point where the performer flies free of the bands, his height above the foor is the same as that of the net into which he is shot. He takes 2.14s to travel the horizontal distance of 26.8m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism.

I understand that the horizontal speed is equal to (26.8/2.14) = 12.52m/s and that their is stored energy into the bands?
I am stuck here, please help me out!, also does this problem involve SHM?

thanks
 
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  • #2
This is the way I approach the question.
1. Determine the initial velocity.
2. Find the kinetic energy.
3. Use the formula E=0.5kx^2

Does these help you?
 
  • #3
does all the EPE get transferred to KE?
 
  • #4
I suppose so. Please correct me if I am wrong.
 
Last edited:
  • #5
You're supposed to ignore friction ... ignore INTERNAL friction, too.

Make sure you include the *vertical* component of velocity also!
 
  • #6
yep alright thanks for the help guys !
 

FAQ: Projectile & SHM: Solving a Physics Problem

What is a projectile and how is it different from SHM?

A projectile is an object that is launched or thrown and moves through the air under the influence of gravity. On the other hand, SHM (Simple Harmonic Motion) is the back and forth motion of an object caused by a restoring force. While both involve movement, SHM is a repeated motion while a projectile is only launched once.

How do you solve a physics problem involving projectile and SHM?

To solve a physics problem involving projectile and SHM, you will need to use equations and formulas related to motion, such as the equations for displacement, velocity, and acceleration. It is important to understand the concepts behind these equations and how to apply them to the specific problem at hand.

What are some common examples of projectile and SHM in everyday life?

A common example of projectile motion is throwing a ball, shooting a basketball, or launching a rocket. For SHM, a simple pendulum, a mass on a spring, or a swinging door can be examples. These can also be seen in amusement park rides, such as a swinging pirate ship or a roller coaster.

How does air resistance affect projectile and SHM?

Air resistance can have an impact on both projectile and SHM. In projectile motion, air resistance can cause the object to slow down and change its trajectory. In SHM, air resistance can dampen the amplitude of the oscillations, making the motion less ideal.

What are some real-world applications of understanding projectile and SHM?

Understanding projectile and SHM can have practical applications in fields such as engineering, physics, and even sports. For example, engineers use projectile motion calculations to design bridges and buildings, while understanding SHM can help in designing shock absorbers for cars. In sports, understanding projectile motion can help athletes improve their throwing and shooting techniques, while understanding SHM can help in designing better swings for golf or tennis players.

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