Astronauts who landed on the moon


Astronauts who landed on the moon during the Apollo 15, 16 and 17 missions brought back a large collection of rocks to the earth. Knowing the rocks weighed 139 lb when they were on the moon, determine (a) the weight of the rocks on the earth, (b) the mass of the rocks in slugs. The acceleration due to gravity on the moon is 5.30 ft/s^2.

Solution:

Show me the final answer↓

a) Use the following equation (Newton’s second law):

W=mg

(Where W is weight, m is mass, and g is the acceleration of gravity)

W=mg

139=m(5.3)

m=26.22 \,\text{lb}\cdot \text{s}^2/\text{ft}

 

Now apply Newton’s second again, this time, the acceleration of gravity is 32.2 ft/s^2 on earth.

W=(26.22)(32.2)

W=844.28 lbs

 

b)

A slug is equal to 1 \,\text{lb}\cdot \text{s}^2/\text{ft}. Thus, the rocks were 26.22 slugs.

 

Final Answers:

a) W=844.28 lbs

b) 26.22 slugs

 

This question can be found in Vector Mechanics for Engineers: Statics and Dynamics, 11th edition, chapter 12, question 12.1.

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