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Scenario #2: It's Rocket Science This problem is all about rockets! Assume the rocket mass is 2 × 104 kg (20,000 kg) for this scenario. Multiple Choice Questions The acceleration of a rocket is complicated. The thrust force and the mass of the rocket change as fuel is burned and ejected. Model this time-varying acceleration for the rocket as a() = († /kr) ³ kt where ß = 2.5 m/s² and k = 0.01 s¹. Ignore all forces except thrust and gravity. 3) What is the thrust force magnitude at t= 30 s? Hint, you must consider gravity. a) 1.2 x 105 N c) 3.3 × 105 N d) 4.2 x 105 N b) 2.7 x 105 N 4) If the rocket starts from rest at t = 0 s, what is its velocity at t = 30 s? a) 0 m/s f c) 75 m/s f d) 89 m/s j b) 2.5 m/s f e) 5.6 x 105 N f) 8.8 x 105 N e) 107 m/s f f) 294 m/s f Short Answer Question Before launch, the rocket (m = 2 x 104 kg) rests on the ground and is partially supported by two cables attached to the launch platform. The cables make an angle of 35⁰ from vertical as shown and cable has a tension of 25 kN (see diagram). • Draw a free body diagram of the rocket. • Break up any forces not along an axis in to x and y components. • Determine the normal force (magnitude) on the rocket from the ground. T₁ = 25 kN 35° NASA T₂ = 25 kN 35°

Scenario #2: It's Rocket Science This problem is all about rockets! Assume the rocket mass is 2 × 104 kg (20,000 kg) for this scenario. Multiple Choice Questions The acceleration of a rocket is complicated. The thrust force and the mass of the rocket change as fuel is burned and ejected. Model this time-varying acceleration for the rocket as a() = († /kr) ³ kt where ß = 2.5 m/s² and k = 0.01 s¹. Ignore all forces except thrust and gravity. 3) What is the thrust force magnitude at t= 30 s? Hint, you must consider gravity. a) 1.2 x 105 N c) 3.3 × 105 N d) 4.2 x 105 N b) 2.7 x 105 N 4) If the rocket starts from rest at t = 0 s, what is its velocity at t = 30 s? a) 0 m/s f c) 75 m/s f d) 89 m/s j b) 2.5 m/s f e) 5.6 x 105 N f) 8.8 x 105 N e) 107 m/s f f) 294 m/s f Short Answer Question Before launch, the rocket (m = 2 x 104 kg) rests on the ground and is partially supported by two cables attached to the launch platform. The cables make an angle of 35⁰ from vertical as shown and cable has a tension of 25 kN (see diagram). • Draw a free body diagram of the rocket. • Break up any forces not along an axis in to x and y components. • Determine the normal force (magnitude) on the rocket from the ground. T₁ = 25 kN 35° NASA T₂ = 25 kN 35°

College Physics
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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Scenario #2: It's Rocket Science This problem is all about rockets! Assume the rocket mass is 2 × 104 kg (20,000 kg) for this scenario. Multiple Choice Questions The acceleration of a rocket is complicated. The thrust force and the mass of the rocket change as fuel is burned and ejected. Model this time-varying acceleration for the rocket as a() = († /kr) ³ kt where ß = 2.5 m/s² and k = 0.01 s¹. Ignore all forces except thrust and gravity. 3) What is the thrust force magnitude at t= 30 s? Hint, you must consider gravity. a) 1.2 x 105 N c) 3.3 × 105 N d) 4.2 x 105 N b) 2.7 x 105 N 4) If the rocket starts from rest at t = 0 s, what is its velocity at t = 30 s? a) 0 m/s f c) 75 m/s f d) 89 m/s j b) 2.5 m/s f e) 5.6 x 105 N f) 8.8 x 105 N e) 107 m/s f f) 294 m/s f Short Answer Question Before launch, the rocket (m = 2 x 104 kg) rests on the ground and is partially supported by two cables attached to the launch platform. The cables make an angle of 35⁰ from vertical as shown and cable has a tension of 25 kN (see diagram). • Draw a free body diagram of the rocket. • Break up any forces not along an axis in to x and y components. • Determine the normal force (magnitude) on the rocket from the ground. T₁ = 25 kN 35° NASA T₂ = 25 kN 35°
Transcribed Image Text:Scenario #2: It's Rocket Science This problem is all about rockets! Assume the rocket mass is 2 × 104 kg (20,000 kg) for this scenario. Multiple Choice Questions The acceleration of a rocket is complicated. The thrust force and the mass of the rocket change as fuel is burned and ejected. Model this time-varying acceleration for the rocket as a() = († /kr) ³ kt where ß = 2.5 m/s² and k = 0.01 s¹. Ignore all forces except thrust and gravity. 3) What is the thrust force magnitude at t= 30 s? Hint, you must consider gravity. a) 1.2 x 105 N c) 3.3 × 105 N d) 4.2 x 105 N b) 2.7 x 105 N 4) If the rocket starts from rest at t = 0 s, what is its velocity at t = 30 s? a) 0 m/s f c) 75 m/s f d) 89 m/s j b) 2.5 m/s f e) 5.6 x 105 N f) 8.8 x 105 N e) 107 m/s f f) 294 m/s f Short Answer Question Before launch, the rocket (m = 2 x 104 kg) rests on the ground and is partially supported by two cables attached to the launch platform. The cables make an angle of 35⁰ from vertical as shown and cable has a tension of 25 kN (see diagram). • Draw a free body diagram of the rocket. • Break up any forces not along an axis in to x and y components. • Determine the normal force (magnitude) on the rocket from the ground. T₁ = 25 kN 35° NASA T₂ = 25 kN 35°
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