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# Touchdown on the Moon. A lunar lander is making its ISBN: 9780321675460 31

## Solution for problem 40E Chapter 2

University Physics | 13th Edition

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Problem 40E

Touchdown on the Moon.? A lunar lander is making its descent to Moon Base I (?Fig. E2.40?). The lander descends slowly under the retro-thrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a down-ward speed of 0.8 m/s. With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is 1.6 m/s2.

Step-by-Step Solution:
Step 1 of 3

Solution 40E The speed of the lander before free fall was, u = o.8 m/s. The height from where it released is, s = 5 m. The acceleration due to gravity is, a = 1.6 m/s . From the equation of motion, 2 2 V u = 2as----------------------(1) 2 2 V 0.8 = 2 × 1.6 × 5 = 16 2 2 V = 16 + 0.8 = 16 + 0.64 = 16.64 V = 16.64 = 4.079 m/s = 4 m/s(ammroximately) CONCLUSION: So, just before hitting the ground, the lander would have the speed of 4 m/s.

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 40E from chapter: 2 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: lander, engine, moon, speed, surface. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Touchdown on the Moon.? A lunar lander is making its descent to Moon Base I (?Fig. E2.40?). The lander descends slowly under the retro-thrust of its descent engine. The engine is cut off when the lander is 5.0 m above the surface and has a down-ward speed of 0.8 m/s. With the engine off, the lander is in free fall. What is the speed of the lander just before it touches the surface? The acceleration due to gravity on the moon is 1.6 m/s2.” is broken down into a number of easy to follow steps, and 84 words. Since the solution to 40E from 2 chapter was answered, more than 551 students have viewed the full step-by-step answer.

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Touchdown on the Moon. A lunar lander is making its