Homework Help is Here – Start Your Trial Now!
Math
Calculus
An object of mass 5 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has faller t seconds. First write m = mg - bv, v(0)=v in terms of the given information. dv dt dv 5 = 49.05-50v; v(0) = 0 dt

An object of mass 5 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has faller t seconds. First write m = mg - bv, v(0)=v in terms of the given information. dv dt dv 5 = 49.05-50v; v(0) = 0 dt

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
See similar textbooks
icon
Related questions
Question
100%
An object of mass 5 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? 2 Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds. dv First write m- -mg-bv, v(0)= v in terms of the given information. dv 549.05-50v; v(0) = 0 Determine the equation of motion of the object. x(t) = 0.981t-0.0981 (1-e-1⁰t) When will the object hit the ground? The object will hit the ground after (Round to two decimal places as needed.) seconds.
Transcribed Image Text:An object of mass 5 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? 2 Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds. dv First write m- -mg-bv, v(0)= v in terms of the given information. dv 549.05-50v; v(0) = 0 Determine the equation of motion of the object. x(t) = 0.981t-0.0981 (1-e-1⁰t) When will the object hit the ground? The object will hit the ground after (Round to two decimal places as needed.) seconds.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS