A man weighs 210 lbf at a location where g= 32.10 ft/s2. Determine his weight on the moon, where g= 5.47 ft/s2

Ch1-12: A man weighs 210 lbf at a location where g= 32.10 ft/s2. Determine his weight on the moon, where g= 5.47 ft/s2.

 

Answer:

Write the Newton’s second law of motion.

W = mg

W: is the weight

m : is the mass of the body.

g: is the acceleration due to gravity.

Mass will be constant

Write the relation between weight and gravity at a location and on the moon.

ch1-13

Here, W moon is the weight of man on the moon,  W is the weight of the man at a location, g moon is the acceleration due to gravity on the moon, and g is the acceleration due to gravity at a location.

substitute:

210 lbf for W , 5.47 ft/s^2 for g moon , 32.1 ft/s^2 for g:

ch1-12

Therefore, the weight of the man on the moon is 35.78 lbf.

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