Question

1. A rocket is fired in the vertical direction from the Earth's surface and achieves a speed of 4.6 km/s at an altitude of 160 km when the engine burns out. Neglecting the effects of Earth rotation and the Earth's atmosphere: (a) compute the maximum altitude attained by this rocket (Ans. 1,532.95 km) (b) as the burned-out rocket falls back to Earth, determine its speed as it reaches the Earth's surface. (Ans. $v$ = 4.92 km/s)

          1. A rocket is fired in the vertical direction from the Earth's surface and achieves a speed of
4.6 km/s at an altitude of 160 km when the engine burns out. Neglecting the effects of Earth
rotation and the Earth's atmosphere:
(a) compute the maximum altitude attained by this rocket (Ans. 1,532.95 km)
(b) as the burned-out rocket falls back to Earth, determine its speed as it reaches the Earth's
surface. (Ans. $v$ = 4.92 km/s)

1. A rocket is fired in the vertical direction from the Earth's surface and achieves a speed of
4.6 km/s at an altitude of 160 km when the engine burns out. Neglecting the effects of Earth
rotation and the Earth's atmosphere:
(a) compute the maximum altitude attained by this rocket (Ans. 1,532.95 km)
(b) as the burned-out rocket falls back to Earth, determine its speed as it reaches the Earth's
surface. (Ans. v = 4.92 km/s)

Added by Juan C.

Engineering Mechanics: Dynamics

J. L. Meriam, L. G. Kraige, J. N. Bolton 8th Edition

Chapter 2

Instant Answer

Solved by Expert Prabhat Tyagi

Step 1

At the maximum altitude, the rocket's kinetic energy will be zero, and all of its initial energy will be in the form of potential energy. The potential energy of an object at a height h above the Earth's surface is given by the equation: PE = mgh Where m is the Show more…

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A rocket is fired in the vertical direction from the Earth's surface and achieves a speed of 4.6 km/s at an altitude of 160 km when the engine burns out. Neglecting the effects of Earth rotation and the Earth's atmosphere: (a) compute the maximum altitude attained by this rocket (Ans. 1,532.95 km) (b) as the burned-out rocket falls back to Earth, determine its speed as it reaches the Earth's surface. (Ans. v = 4.92 km/s)