Question

Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m. Express your answer in pounds to three significant figures.

Answer 1

Given the equivalent value to convert the units from kilograms to slug and feet to meters, we will proceed to define the equivalence of the 'Newton' in simplified units, that is,

$1N=1kg\cdot m\cdot s^{-2}$

Then,

$15.0N=15.0kg\cdot m\cdot s^{-2}$

Converting this value to British units we have that

$15N = 15.0kg\cdot m\cdot s^{-2} (\frac{1slug}{14.59kg})(\frac{1ft}{0.3048m})$

$15N = 3.37 slug \cdot ft \cdot s^{-2} (\frac{1 lb \cdot ft^{-1}}{1slug})$

$15N =3.37lb$

Therefore the value of 15.0 N in pounds is 3.37 lb.