A1] A small, artificial satellite of mass 10 kg and initial velocity: Vo = [3000i + 4000j] ms %3D enters a region of space, at t = 0 s, where it experiences a force given by: F(t) = [2000j + 1200rk] N. The constants in the expression for F(t) require that t is specified in seconds. a) Write down an expression for the acceleration of the satellite, a(t). b) Determine the speed of the satellite at t = 0s. c) By integrating your expression from (a), deduce the velocity of the satellite as a function of t for t > 0s. d) If the satellite experiences the force for 10 s, what is its final speed?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
A1] A small, artificial satellite of mass 10 kg and initial velocity:
-1
Vo = [3000i + 4000j] ms
enters a region of space, at t = 0 s, where it experiences a force given by:
%3D
F(t) = [2000j + 1200rk] N.
The constants in the expression for F(t) require that t is specified in seconds.
a) Write down an expression for the acceleration of the satellite, a(t).
b) Determine the speed of the satellite at t = 0 s.
c) By integrating your expression from (a), deduce the velocity of the satellite as a
function of t for t > 0s.
d) If the satellite experiences the force for 10 s, what is its final speed?
Transcribed Image Text:A1] A small, artificial satellite of mass 10 kg and initial velocity: -1 Vo = [3000i + 4000j] ms enters a region of space, at t = 0 s, where it experiences a force given by: %3D F(t) = [2000j + 1200rk] N. The constants in the expression for F(t) require that t is specified in seconds. a) Write down an expression for the acceleration of the satellite, a(t). b) Determine the speed of the satellite at t = 0 s. c) By integrating your expression from (a), deduce the velocity of the satellite as a function of t for t > 0s. d) If the satellite experiences the force for 10 s, what is its final speed?
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY