Energy Budget for a Rocket in Free Space: Recall the analysis of the rocket engine in Project I, Flight of the Rocket. Although the momentum of the rocket and its exhaust is conserved (constant), their energy is not; energy must be supplied by the combustion of fuel. WARNING: This is not the same as the energy requirement of the jet airplane in Project II, Nonstop Service to Anywhere. Using the same approach we used to derive the First and Second Rocket Equation ---- sequential “snapshots” of the rocket---obtain an expression for the total kinetic energy gained by rocket and exhaust during the engine burn, in terms of the initial and final rocket masses Mi and Mf , the nozzle speed U of the exhaust, etc. This is the energy that must be supplied by combustion. HINTS: You may need to use the First Rocket Equation in your calculation. You may also use the fact that squares and products of differentials are negligible compared to the differentials themselves.

  1. 👍 0
  2. 👎 0
  3. 👁 167

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 79.0 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of

    asked by ann on August 25, 2013
  2. physics

    A small weather rocket weighs 14.7 N. The rocket is carried up by a balloon. The rocket is released from the balloon and fired, and its engine exerts an upward force of 10.2 N on the rocket. What is the acceleration of the rocket?

    asked by Anonymous on August 17, 2011
  3. physics

    A catapult launches a rocket at an angle of 47.5° above the horizontal with an initial speed of 109 m/s. The rocket engine immediately starts a burn, and for 2.49 s the rocket moves along its initial line of motion with an

    asked by tina on April 25, 2012
  4. Physics

    A test rocket is launched vertically from ground level (y=0m), at time t=0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 97 m and

    asked by Renay on March 26, 2013
  5. physics-forces

    1. a fully loaded rocket has a mass of 2.92x10^6kg. It's engines has a thrust of 3.34x10^7N a)what is the downward force of gravity of the rocket at blast off? b)what is the unbalanced force on the rocket at blast off? c)what is

    asked by Jessie on January 6, 2014
  1. Physics

    An astronaut is inside a rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but you also do not want the astronaut to black out. Medical

    asked by Jen on February 22, 2012
  2. Physics

    A rocket that weighs 7840 N on earth is fired. The force of propulsion is + 10 440N. Determine a) the mass of the rocket, b) the acceleration of the rocket, c) the velocity of the rocket at the end of 8.0 s.

    asked by Noah on September 26, 2017
  3. Physics

    A 10.2 kg weather rocket generates a thrust of 200N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 500N/m, is anchored to the ground. a) Initially

    asked by Alexandra on November 25, 2010
  4. Physics

    A model rocket is launched at 62 degrees above the horizontal with an initial speed of 28m/s. the rocket travels for 4.5s along its initial line of motion with a constant acceleration of 13 m/s^2. At this time, the engine of the

    asked by Bethany on September 21, 2016
  5. physics

    A stationary rocket is launched vertically upward. After 4s, the rocket's fuel is used up and it is 225.6 m above the ground. At this instant the velocity of the rocket is 112,8 m/s. Then the rocket undergoes free fall. Ignore the

    asked by clement on March 8, 2014
  6. physics

    The engine of a toy rocket supplies an average acceleration of 38.0 m/s/s to the rocket for an interval of 0.80 s. A.)If the toy roocket is launched vertically, how high does it rise in this interval? B.) How fast is the rocket

    asked by Kendra on January 19, 2010

You can view more similar questions or ask a new question.