Projectile Motion Review Homework Help

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SUMMARY

The discussion focuses on solving a projectile motion problem involving a block of mass 4.0 kg on a frictionless tabletop, compressed against a spring with a spring constant of 650 N/m. The block falls 0.80 m vertically and travels 1.2 m horizontally after being released. Key calculations include determining the time of flight, the speed of the block as it leaves the table, and the distance the spring was compressed using the equations of motion and the work-energy theorem.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with Newton's laws of motion
  • Knowledge of the work-energy theorem
  • Ability to apply kinematic equations
NEXT STEPS
  • Calculate projectile motion using kinematic equations
  • Explore the work-energy theorem in detail
  • Learn about spring potential energy and its applications
  • Study the effects of air resistance on projectile motion
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Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to reinforce concepts related to energy and motion.

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Homework Statement



Block I of mass 4.0 kg is on a horizontal, frictionless tabletop and is placed against a spring of negligible mass and spring
constant 650 N/m. The other end of the spring is attached to a wall. The block is pushed toward the wall until the spring has been compressed a distance x, as shown above. The block is released and follows the trajectory shown, falling 0.80 m vertically and striking a target on the floor that is a horizontal distance of 1.2 m from the edge of the table. Air resistance is negligible.
a.Calculate the time elapsed from the instant block I leaves the table to the instant it strikes the floor.

b.Calculate the speed of the block as it leaves the table.

c.Calculate the distance the spring was compressed.

Homework Equations



d=volt+1/2at^2
v=vo+at
v^2=vo^2+2ad

The Attempt at a Solution



I really forgot how to do this. We are so far ahead of this unit, now, that I lost all my projectile motion mojo.
I'm guessing you solve for time using the spring constant and one of the above equations, but that's all that I know. I'm really rusty in the projectile area. :(
 
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Since the block leaves the table with no initial downward motion you can solve the equation
s = v_0t + \frac{1}{2}at^2
Where s is the distance from the table top to the floor and a is the acceleration due to gravity.
From this time you can use the same equation again using s as the horizontal distance moved.
For the third part try the work energy theorem :)
 
Okay! I think I understand now! thank you!
 
No problem, good luck! :)
 

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