Question

An object whose mass is 10 lb weighs 9.6 lbf. Determine (a) the local acceleration of gravity, in ft/s2 . (b) the mass, in lb and slug, and the weight, in lbf, of the object at a location where g 32.2 ft/s2 .

Answer 1

Answer with Step-by-step explanation:

Mass of object=10 lb

Weight of object=9.6 lbf

a.We know that

Weight=mg

Using the formula

$9.6=10g$

$g=\frac{9.6}{10}=0.96ft/s^2$

Hence, the local acceleration of gravity=$0.96ft/s^2$

b.1 lb=0.031081 slug

$10lb=10\times 0.031081=0.31081 slug$

Now, g=$32.2ft/s^2$

Substitute the values then we get

$weight=10\times 32.2=322lbf$

Hence, the weight of object at a location where g=32.2ft/square seconds=322lbf