Math Problem Statement
A 38000kg business jet takes off with the thrust for each of its two engines is 40000 N. Find the acceleration
Solution
To find the acceleration of the business jet, we can apply Newton's Second Law of Motion:
Where:
- is the total net force acting on the jet,
- is the mass of the jet,
- is the acceleration.
Step 1: Calculate the net force
The total thrust provided by both engines is:
Step 2: Use Newton's Second Law to find the acceleration
Now, using , we can solve for the acceleration :
Substituting the given values:
Thus, the acceleration of the jet is 2.11 m/s².
Would you like more details or have any questions?
Here are 5 related questions to expand the topic:
- What would happen to the acceleration if one engine fails?
- How would the acceleration change if the mass of the jet increased?
- How does air resistance affect the net force and acceleration in real-world conditions?
- What is the relationship between thrust, drag, and the final velocity of an aircraft?
- How would the jet's acceleration compare to that of a lighter plane with the same thrust?
Tip: Always ensure the forces are balanced or unbalanced when using Newton’s laws—this will determine if the object is accelerating.
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Math Problem Analysis
Mathematical Concepts
Newton's Second Law of Motion
Force
Mass
Acceleration
Formulas
F_net = m * a
a = F_net / m
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Grades 9-11
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