(iv) Mass of the given solid, (m) = (m2 – m1)g = ............
g
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We know that
v=u+at
Here v=0 and a=g
so 0=u+gt
u=−gt --- (i)
we also know
v2.u2=2as ---(ii)
Here v=0,u=−gt from eqn (i) and S=h1 and taking t=t1
putting all above values in eq (ii)
g2t12=2gh1
or
h1=21gt12 ----(iii)
Similarly for S=h2 and t=t2
h2=21gt22 ----(iv)
Dividing eqn (iii) & (iv) we get,
t2t1=h2h1
The ratio will not change in either case because acceleration remains the same. In the case of free-fall acceleration does not depend upon mass and size of the body.
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