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In a certain system of units, 33.8 thumbs = 1 meter, 1 pause = 30.4 s, and 1 glob = 24.7 kg. The unit of force in this system is a perk (p). How many kiloperks (kp) are in 61 N? Answer in units of kp.

Answer :

cryssatemp

Answer: 77.14 kp

Explanation:

We have the following data:

[tex]1 m=33.8 thumbs[/tex]

[tex]1 pause=30.4 s[/tex]

[tex]1 glob=24.7 kg[/tex]

We are told the unit of force in this system is the Perk [tex]p[/tex], while in the International System is the Newton [tex]1 N=kg \frac{m}{s^{2}}[/tex], and [tex]1 kp=1000 p[/tex].

So, we need to transform [tex]61 N=61 kg \frac{m}{s^{2}}[/tex] to [tex]kp[/tex]:

[tex]61 kg \frac{m}{s^{2}} (\frac{1 glob}{24.7 kg}) (\frac{33.8 thumbs}{1 m}) (\frac{(30.4 s)^{2}}{(1 pause)^{2}})=77143.04 p[/tex]

[tex]77143.04 p \frac{1 kp}{1000 p}=77.14 kp[/tex]

Therefore:

[tex]61 N=777.14 kp[/tex]

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