A human cannon ball is fired at an angle of 60 degrees and speed of 25m/s. If the net is located 35 meters in front of the human cannon, how high in the air should the net be placed so the human lands in the center of it. Please Use the equations provided

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section6.2: Work Done By A Constant Force
Problem 6.1QQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
A human cannon ball is fired at an angle of 60 degrees and speed of 25m/s. If the net is located 35 meters in front of the human cannon, how high in the air should the net be placed so the human lands in the center of it. Please Use the equations provided
Equations:
Vector components, standard Cartesian plane:
Vx= V cos 8
Vy = V sin 0
Constant linear acceleration:
V = Vo + at
Projectile motion:
X = Xo + Voxt
Rotational motion:
0 = s/r
@= @o + at
Frictional force:
w = v/r
Newton's Second Law of motion:
Centripetal force:
Use g
d = do + Vot + ½ at²
Gravitational force, or weight:
=
Vx² + Vy² = V²
y = yo + Voy - 1/2 gt²
360⁰ = 2n radians
a = aT/r
000+ wot + ½ at²
tan 8 = Vy/Vx
v² = vo² + 2a(d-do)
Vy = Voy -gt
ac = v²/r = rw²
w² = wo² + 2a(0 - 0)
ΣF = ma
Fg = mg
Ff = µFn
Fc = mv²/r
10.0 m/s² for the acceleration due to gravity near the surface of the earth.
Transcribed Image Text:Equations: Vector components, standard Cartesian plane: Vx= V cos 8 Vy = V sin 0 Constant linear acceleration: V = Vo + at Projectile motion: X = Xo + Voxt Rotational motion: 0 = s/r @= @o + at Frictional force: w = v/r Newton's Second Law of motion: Centripetal force: Use g d = do + Vot + ½ at² Gravitational force, or weight: = Vx² + Vy² = V² y = yo + Voy - 1/2 gt² 360⁰ = 2n radians a = aT/r 000+ wot + ½ at² tan 8 = Vy/Vx v² = vo² + 2a(d-do) Vy = Voy -gt ac = v²/r = rw² w² = wo² + 2a(0 - 0) ΣF = ma Fg = mg Ff = µFn Fc = mv²/r 10.0 m/s² for the acceleration due to gravity near the surface of the earth.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning