Practice Problems Conservation of Energy and Projectiles

Directions: On this worksheet you will practice working with projectiles released in five different modes. Solutions should include the use of energy methods as well as kinematics.

The ball from cliff A is released from rest.
The ball from cliff B is thrown straight up.
The ball from cliff C is thrown straight down.
The ball from cliff D is thrown up at an angle.
The ball from cliff E is thrown straight forward.

 omit
Question 1  Background Information for every problem:
• Each cliff is 13 meters tall.
• Each ball has a mass of 269 grams.
• On cliffs B-E, each ball is released at a speed of 8 m/sec.
• The ball from cliff D is released at an angle of 56º.

True or false. Energy methods reveal that balls B, C, D, and E will all strike the ground traveling at the same resultant impact velocity.
 omit
Question 2  How far from the base of the cliff E will ball #5 strike the ground?
 omit
Question 3  At what angle will ball #5 strike the ground at the base of cliff E?
 omit
Question 4  How high above the ground at the base of cliff D will ball #4 rise before it begins its final descent?
 omit
Question 5  How high above the ground will ball #2 be located when its instantaneous resultant velocity equals 4.00 m/sec?
 omit
Question 6  If balls B and C are released simultaneouly, how much time will pass after ball #3 strikes the ground at the base of cliff C before ball #2 strikes the ground at the base of cliff B?
 omit
Question 7  Another ball is later projected horizontally from cliff E with an initial velocity of 16 m/sec.

True or False: This second ball would require more time than the initial ball in question #2 before it strikes the ground at the base of the cliff.
 omit
Question 8  After it is released from the top of cliff A, how much PE will ball #1 have when its vertical velocity equals -16.0 m/sec?