Kinematics Exercises: oblique shot
Parabolic Movement, or projectiles.
E n the solution of these problems have in mind the following recommendations:
1. Read carefully the wording of it.
2. Make a diagram or drawing showing the situation where the knowns and unknowns of the problem.
3. analyzes the use of equations kinematics as appropriate.
4. clear Where necessary variables or unknowns, you must do so carefully showing step by step procedure.
5. After the punt or kinematic equations to apply to the replacements with the known values \u200b\u200bbeing careful to simplify the different units.
6. Express your answer not only in numerical form, writes a short analysis or interpretation of it.
7. your teacher presents the exercises done in your notebook.
8. Suggested answers presented approaches, depending on the decimal significant figures used in the different calculations.
9. Solving the problems requires a minimum of two hours of study, analysis and study.
10. Compare your procedures, analysis and results with classmates.
Solve the following problems:
Problem No 1) a shot is fired with an air rifle from the top of a hill. The bullet starts with a speed of 50 m / s in a direction making an angle of 37 ° to the horizontal, neglecting friction, determine
a) The position of the pellet to 2 s, 5 s and 8 s after party, respectively, and represented in a XY diagram.
b) The components of the velocity vectors in the previous instances: to represent these vectors in the diagram above, the four known positions.
c) Instant , position and speed at the moment is at the same level as the base.
d) Without reckoning, justified among those mentioned that moment you think the projectile will reach its maximum height, what speed will be over there, calculate it now, and check your assumptions.
e) With all the above information, draw the trajectory of the projectile and write the equation of the same.
Answer: a) (80 m, 40.4 m), (200 m, 27.5 m) and (320 m, -73.6 m)
b) (40 m / s, 10.4 m / s), (40 m / s -19 m / s) and (40 m / s, -48.4 m / s )
c) 6.12 s, (244.8 m, 0 m) and (40 m / s -60 m / s)
d) 3.06 s and 0 m / s
e) 0.75. X - 0.003. X ² / m
Problem No. 2) develop the above problem to a starting angle of 53 °.
Answer: a) (60 m, 60.4 m), (150 m, 77.5 m) and (240 m, 6.4 m)
b) (30 m / s, 20.4 m / s), (30 m / s; -9 m / s) and (30 m / s, -38.4 m / s)
c) 8.16 s, (244.8 m, 0 m) and (40 m / s -60 m / s)
d) 4.08 s and 0 m / s
e) 1.33. x - 0.005. x ² / m
Problem n ° 3) wanting a cat meows, mounted on a wall of 2 m Pedro is in your garden, in front of him and 18 of the wall, and aims to drive him away by throwing a shoe. The "projectile" (Shoe) starts with a speed of 15 m / s at an angle of 53 ° to the horizontal from a height of 1.25 m, determine
a) How far above where the cat had passed the shoe?
b) How far across the wall came the shoe?
Answer: a) 3.65 m
b) 4.95 m
Problem n ° 4) A soccer player makes a throw of arc, the ball bounces on the pitch below 60 m and 4 s after party.
a) Find the speed of the ball at the highest point
b) and how speed reaches the ground.
Answer: a) 15 m / s
b) (15 m / s, -19.6 ms)
Issue No 5) obliquely An archer throws an arrow, which starts from a height of 1.25 m with a speed of 20 m / s at an angle with the horizontal of 53 °. The arrow passes over a tree that is 24 m away and will dig a 10 m high in another pine located further back. Neglecting friction and considering that the arrow is always parallel to the velocity vector, determine
a) How long was the flight of the arrow?.
b) How fast was the tree?.
c) what angle stuck?.
d) What maximum height may be the first pine?.
Answer: a) 2.57 s
b) -37 ° 32 '17 "
c) 15 , 13 m / s
d) 13.65 m
Issue No 6) horizontally Susan throws a keychain from the window of his apartment, and Gerardo as get to 1.2 m above the floor, 0.8 s later. Knowing that Gary is located 4.8 m from the front of the house of Susana, find:
a) How high off the floor broke the keychain?.
b) How quickly reached the Gerardo hands?.
Answer: a) 4.34 m
b) (6, -7.84) m / s
Issue No 7) A skier slides down a ramp inclined 30 ° reaches the edge with some speed. After a second free flight, returns to the track, below 4.33 m before the edge of the ramp. Determine
a) What speed was on the edge of the ramp?.
b) How quickly came to the track?.
c) What gap existed between the edge of the ramp and the track?.
Answer: a) 5 m / s
b) 7.4 m
c) (4.33 ; -12.3) m / s
Problem No 8) entertains a bored executive throwing rolls of paper horizontally from a height of 1.2 m, to the basket that is 2 m in front of him across the desk, for this exceed the corner of the desk that is at 75 cm above the floor and 1 m in front of him, considering that the basket is 40 cm high and 40 cm in diameter, to determine between which values \u200b\u200bmust be the starting speed a bun to enter into the basket.
Answer: (5.5 ± 0.5) m / s
Issue No 9) A juggler shows his skill, keeping the air continuously on four plates, are received with his left hand, 80 cm from the floor, and throws with his right hand from the same height and 1.2 m from where they were received. The plates reach a maximum height of 4 m above the floor, find:
a) How fast throws?.
b) How quickly pass through the highest point?.
c) If it takes 0.2 s to pass from hand to hand, to estimate how often you get a plate.
Answer: a) (0.74, 7.92) m / s
b) (0.74, 0) m / s
c) 0.46 s
• From:
http://www .fisicanet.com.ar/fisica/cinematica/tp24_tiro_oblicuo.php
Fisicanet.
Use this link to test the responses of the problems:
http://www.fisicanet.com.ar/fisica / cinematica/tp24_tiro_oblicuo.php
Courage and much study, effort and above all súper_esfuerzos make us better every day,
The Teacher of your Class,
Joseph Wilson
0 comments:
Post a Comment