AP Physics Test Prep #029 Ignore air friction. Marcelo fires a

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AP Physics Test Prep #029
Ignore air friction.
1.
Marcelo fires a launcher in science class. He discovers that at an angle of 40º the launcher creates
an initial velocity of 6.59 m/s. If the launcher is 41.5 cm above the ground, determine:
a. What is the x-component of the projectile’s velocity?
b. What is the y-component of the projectile’s velocity?
c. Draw a picture showing all the relevant information.
d. Draw a motion map showing the velocity vectors of:
i. the projectile at launch
ii. halfway to its highest point
iii. at the highest point
iv. halfway down from the highest point (falling)
v. when it reaches the level of the launch point
vi. when it reaches the ground (41.5 cm below the launch point)
e. Draw five separate FBD’s showing the forces acting on the projectile:
i. While it is in the launcher, before launch
ii. Just after launch
iii. At the highest point
iv. When it reaches the level of the launcher
v. When it has come to rest on the ground.
f. How long does it take the projectile to reach its highest point?
g. How long does it take for the projectile to hit the ground?
h. How high does the projectile go compared to the ground?
i. How far (horizontal displacement) does the projectile travel from launch point?
j. What is the final velocity (magnitude and direction) when the projectile reaches the
ground?
k. Sketch (with numerical values where possible) the d vs. t, v vs. t, and a vs. t graphs for:
i. the projectile horizontal motion.
ii. the projectile vertical motion.
2.
Mr. Adkins swings a bowling pin in a circle. The rope he uses is 1.4 m long. If the 2.6kg bowling
pin has a tangential velocity of 5.4 m/s, then:
a. What is the centripetal acceleration?
b. What is the centripetal force acting on the pin?
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