Suppose the first stage of a two-stage rocket has total mass 1.30
I'd question 40 please. 39. Rocket Motion Suppose a small single-stage rocket of total mass m) is launched vertically, the positive direction is upward, the air resistance is linear, and the rocket consumes its fuel at a constant rate. In Problem 22 of Exercises 1.3 you were asked to use Newton's second law of motion in the form given in (17) of that exercise set to show that a mathematical model for the velocity v(t) of the rocket is given...
A two-stage rocket is in development. The required probability is for the overall rocket to be a minimum of 97% reliable for a successful mission. The first stage is a previously developed design with a known reliability of 99%. The reliability measures for the two stages are independent. What must the minimum reliability for the second stage be?
A Saturn-V Rocket has a total mass of 3.00 times 10^6 kg when fully fueled. The first stage of rocket propulsion burns 2.27 times 10^6 kg of fuel in 150 s, providing a thrust of 3.402 times 10^7 N, as the rocket is lifted against Earth's gravity. a) Find the rate at which fuel is burned during this first-stage propulsion, assuming a steady rate of fuel consumption. b) Find the exhaust speed of the fuel as it is ejected from...
1. A rocket accelerates upward from rest during the first stage with a constant acceleration of a1 = 95.0 m/s2 for t1 = 30.0 s. The first stage then detaches and the second stage fires, providing a constant acceleration of a2 = 50.0 m/s2 for t2 = 60.0 s. (a) What is the total distance traveled by the rocket during both stages? (b) What is the speed of the rocket after the second stage burn?
Just before a two stage rocket separates, the velocity of the combined sections is 2800 m/s. Section A has a mass of 850 kg and section B has a mass of 4.1 tonne. Both sections travel on in the same direction as before, but section A, which accommodates the astronauts, is moving 305 m/s faster than section B. Calculate the final velocity of section A
The last stage of a rocket, which is traveling at a speed of 8000 m/s, consist of two parts that are clamped together: a rocket case with a mass of 220.0 kg and a payload capsule with a mass of 120.0 kg. When the clamp is released, a compressed spring causes the two parts to separate with a relative speed of 910.0 m/s. (a) What are the speeds of the two parts after they have separated? Assume that all velocities...
A 975 kg two-stage rocket is traveling at a speed of 5.10×103 m/s with respect to Earth when a pre-designed explosion separates the rocket into two sections of equal mass that then move at a speed of 2.10×103 m/s relative to each other along the original line of motion. What is the speed of each section (relative to Earth) after the explosion? What are the direction of each section (relative to Earth) after the explosion? How much energy was supplied...
At liftoff, an advanced rocket has a total mass (payload + fuel) of 1.8 x 105 kg. If the rocket burns fuel at a rate of 3000 kg/s with an exhaust velocity of 4500 m/s, what is its acceleration 12.0 s after liftoff?
A two-stage rocket moves in space at a constant velocity of +4070 m/s. The two stages are then separated by a small explosive charge placed between them. Immediately after the explosion the velocity of the 1200-kg upper stage is +5960 m/s. What is the velocity (magnitude and direction) of the 2030-kg lower stage immediately after the explosion?
A two-stage rocket moves in space at a constant velocity of +4060 m/s. The two stages are then separated by a small explosive charge placed between them. Immediately after the explosion the velocity of the 1230-kg upper stage is +5650 m/s. What is the velocity (magnitude and direction) of the 2580-kg lower stage immediately after the explosion?