Question

The doozy is defined as the unit of force required to accelerate a unit of mass, called the cuz, with the gravitational acceleration on the surface of the moon, which is one-sixth of the normal gravitational acceleration on earth.

(a) What is the conversion factor that would be used to convert a force from the “natural” unit to the derived unit in this system? (Give both its numerical value and its units.)

(b) What is the weight in doozies of a 3-cuz object on the moon? What does the same object weigh in Lizard Lick, North Carolina?

-please explain in details

Thank you!

Answer 1

From the second law of motion

​​Force = mass x acceleration due to gravity

1 doozy = 1 cuz * (32.174 ft/s2) * (1/6)

= 5.3623 cuz-ft/s2

Conversion factor = (1 doozy / 5.3623 cuz-ft/s2)

Part b

On the moon W = mass x acceleration due to gravity

= (3 cuz) x (32.174 ft/s2) x (1/6) x (1 doozy / 5.3623 cuz-ft/s2)

= 3 doozy

On the Lizard Lick, North Carolina

W = mass x acceleration due to gravity

= (3 cuz) x (32.174 ft/s2) x (1 doozy / 5.3623 cuz-ft/s2)

= 18 doozy