2080 x DForce and Newton\'s LoDFarce and Newton\'sLxWleypLUS x C The Space Probe

Question

2080 x DForce and Newton's LoDFarce and Newton'sLxWleypLUS x C The Space Probe Deep x(147) YouTube INTRO TO PHYSICS (PHYS 207/2 Cutnell, Physics, 10e Gradebeok ORION Dewnloadable eTextbeok Chapter 04, Problem 101 A 7.27 x 10kg lunar landing crat s about to touch down on the surface of the moon, where the acceleration due to gravity is 1.60 mýs?. At an altude of 271 m the thrust needed to reduce the velocity to zero at the iestant when the crat touches the s 25.0 m/s. To slow down the crat, a etronock et is fhring to provide an upwarnd thrust. Assuming the descent is vertical, find the magnitude of the 3

Explanation / Answer

The total force required to accelerate (actually decelerate) the craft so that it slows down the landing craft to a stop over 165 meters can be found using the equation (vertically up is positive):

vf2 = vi2 + 2ad

vf = 0, vi = -25 m/s, d = -271 m, a = ?

0 = (-25)2 + 2a(-271)

-2a(-271) = 625

a = 1.15 m/s2

The total force is therefore equal to:

Ftotal = ma =(7.27x105 kg)(1.15 m/s2) = 8.36x105 N

Ftotal = Fthrust - Fcraft

Fthrust = Ftotal +Fcraft

Fthrust = 8.36x105 N +(7.27x105 kg)(1.60 m/s2)

Fthrust = 20x105 N

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