Problem 6: A 4.8. 105-kg rocket is accelerating straight up. Its engines produce 1.35 • 107 N of thrust, and air resistance is 4.7. 106 N. Randomized Variables m = 4.8. 105-kg f=1.35 • 107 N fr=4.7.106 N. What is the rocket's acceleration, using a coordinate system where up is positive? a= cos() asin() sin() cotan() atan() acotan() cosh() tanh() л ( ) tan() acos() E MA sinh() cotanh() ⒸDegrees Radians * 7 8 9 4 5 6 1 2 3 + 0 VO BACKSPACE - DEL HOME END CLEAR
Problem 6: A 4.8. 105-kg rocket is accelerating straight up. Its engines produce 1.35 • 107 N of thrust, and air resistance is 4.7. 106 N. Randomized Variables m = 4.8. 105-kg f=1.35 • 107 N fr=4.7.106 N. What is the rocket's acceleration, using a coordinate system where up is positive? a= cos() asin() sin() cotan() atan() acotan() cosh() tanh() л ( ) tan() acos() E MA sinh() cotanh() ⒸDegrees Radians * 7 8 9 4 5 6 1 2 3 + 0 VO BACKSPACE - DEL HOME END CLEAR
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Educational Module: Rocket Acceleration Calculation**
---
**Problem 6:**
A \(4.8 \times 10^5\)-kg rocket is accelerating straight up. Its engines produce \(1.35 \times 10^7\) N of thrust, and air resistance is \(4.7 \times 10^6\) N.
**Randomized Variables**
- Mass of the rocket, \(m = 4.8 \times 10^5\) kg
- Thrust force, \(f = 1.35 \times 10^7\) N
- Air resistance force, \(f_r = 4.7 \times 10^6\) N
---
**Question:**
What is the rocket's acceleration, using a coordinate system where up is positive?
\(a =\) [Input Field]
**Calculator Options:**
- Trigonometric functions: sin(), cos(), tan(), cotan()
- Inverse trigonometric functions: asin(), acos(), atan(), acotan()
- Hyperbolic functions: sinh(), cosh(), tanh(), cotanh()
- Additional constants and operations: π, e, parenthesis, powers, square root
- Degree or Radian mode for angle measurement
*Use the provided calculator to input your answer.*
---
**Instruction:**
To find the acceleration of the rocket, consider the net force acting on it and apply Newton’s second law of motion.
\[ F_{\text{net}} = f - f_r \]
\[ a = \frac{F_{\text{net}}}{m} \]
Fill in the equation with the provided values to calculate the acceleration:
\[ a = \frac{(1.35 \times 10^7 \, \text{N}) - (4.7 \times 10^6 \, \text{N})}{4.8 \times 10^5 \, \text{kg}} \]
Enter the result in the field provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa88ddefe-5ebe-4941-9267-ec0f6d894e24%2Ffa1dc004-0bf7-4525-8086-0b30b62a97f8%2Fx9q55t_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Module: Rocket Acceleration Calculation**
---
**Problem 6:**
A \(4.8 \times 10^5\)-kg rocket is accelerating straight up. Its engines produce \(1.35 \times 10^7\) N of thrust, and air resistance is \(4.7 \times 10^6\) N.
**Randomized Variables**
- Mass of the rocket, \(m = 4.8 \times 10^5\) kg
- Thrust force, \(f = 1.35 \times 10^7\) N
- Air resistance force, \(f_r = 4.7 \times 10^6\) N
---
**Question:**
What is the rocket's acceleration, using a coordinate system where up is positive?
\(a =\) [Input Field]
**Calculator Options:**
- Trigonometric functions: sin(), cos(), tan(), cotan()
- Inverse trigonometric functions: asin(), acos(), atan(), acotan()
- Hyperbolic functions: sinh(), cosh(), tanh(), cotanh()
- Additional constants and operations: π, e, parenthesis, powers, square root
- Degree or Radian mode for angle measurement
*Use the provided calculator to input your answer.*
---
**Instruction:**
To find the acceleration of the rocket, consider the net force acting on it and apply Newton’s second law of motion.
\[ F_{\text{net}} = f - f_r \]
\[ a = \frac{F_{\text{net}}}{m} \]
Fill in the equation with the provided values to calculate the acceleration:
\[ a = \frac{(1.35 \times 10^7 \, \text{N}) - (4.7 \times 10^6 \, \text{N})}{4.8 \times 10^5 \, \text{kg}} \]
Enter the result in the field provided.
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