On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 4kg weighs 32 N . Find the weight of an object whose mass is 3 kg.

Step-by-step explanation:

mass of 1stobject (m)=4 kg

weight of 1st object(w)=32N

gravity(g)?

now,

w =m×g

g=w

m

=32

4

=8 m/s²

now,

mass of 2nd object (M)=3kg

gravity(g)=8m/s²

weight of 2nd object (W)=?

now,

W=M×g

=3×8

=24N

hope it helps.

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geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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