Curvilinear Motion of Particles
Homework:
Simulation HW:
Open up the projectile motion simulation:
http://phet.colorado.edu/en/simulation/projectile-motion
Play around with it to see how it works -
Click and drag the cannon,
Click and drag the yellow tape measure (dot),
Click and drag the target
fire a few test runs.
1. Move the target ~15 meters away, centered on the x axis:
Calculate (show your work!) the initial speed needed to hit the target using the following angles:
15° → Vo = _________
45° → Vo = _________
80° → V = __________
Does the diameter matter? Why or why not?
Does the initial velocity needed to hit the target increase or decrease with the angle, and why?
2. Move the target to (x,y) = (15,5)
Calculate (show your work!) the initial speed needed to hit the target using the following angles:
(hint, you can hit the target from underneath, or from above)
15° → Vo = _________
20° → Vo = _________
45° → Vo = _________
80° → V = __________
3. Set up an excel sheet to calculate the needed initial velocity given a target position (ie, what you did in problem #2). Test it out. At the end of the year, you will make a simple projectile device capable of hitting a variety of differently placed targets. This is the first step in working through the math to control your projectiles!
Another option is to go with the ballista:
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11.12
HW: Open up the elevator simulation:
1. If Pepe travels at a speed of 1.5 m/s down from Level 2 to Level 0,
a.) What is the velocity of Pepe relative to Lola?
(As seen by Lola → choose Lola to be the fixed frame of reference)
b.) What is the velocity of Lola relative to Pepe?
(As seen by Pepe → choose Pepe to be the fixed frame of reference.)
2. If Pepe travels at a speed of 1.5 m/s up from Level 0 to 2
a.) What is the velocity of Pepe relative to Lola?
(As seen by Lola → choose Lola to be the fixed frame of reference)
b.) What is the velocity of Lola relative to Pepe?
(As seen by Pepe → choose Pepe to be the fixed frame of reference)
3. If Pepe Travels up with a velocity of 1.5 m/s from floor 0 to floor 2, and his yo-yo travels down with a velocity of 1.5 m/s relative to Pepe, what is the velocity of the yoyo with respect to Lola? (As seen by Lola, choose Lola to be the fixed frame of reference)
4. 3. If Pepe Travels down with a velocity of 1.5 m/s from floor 2 to floor 0, and his yo-yo travels up with a velocity of 1.5 m/s relative to Pepe, what is the velocity of the yoyo with respect to Lola? (As seen by Lola, choose Lola to be the fixed frame of reference)
