Two bodies A (of mass 1 kg) and B (of mass
3 kg) are dropped from heights of 16 m and 25 m.
respectively. The ratio of the time taken by them
to reach the ground is
Nor Alo(Sneha Didi join)
Answers
Answer:
as both are released from rest so initial velocity u = O
acceleration due to gravity g= 9.8 or say it 10
so for body A
distance s= 16,time t=?
apply s=ut+1/2 gt^2
16=O x t +1/2 x 10 x t^2
16=5 x t^2 say it eqution 1
similarly in 2nd case
u = 0 s= 25 say time as tb for ease
it becomes
25 = 1/2 x 10 x tb^2
25 = 5 tb^2 say it equation 2
now divide equation 1 and 2 we get
16/25 = 5 × t^2 / 5 × tb^2
16/25 = t^2/tb^2
now taking square root on l.h.s
√16/√25 = t/tb
we know that √16 = √4×4 = 4
√25 =√5×5=5
so ur ans is 4/5=t/tb
plsss mark as brainliest i really need it
We know that ut =1/2at^2 ....We
are going to use this same equation into the calculation.
Here,mass doesn't matter since the acceleration of the gravity acting on every object is same.
For object A,
s= u+ 1/2 at ^2
16= 0 +1/2(10)(t^2)
t^2= 16÷5/3.2
t= root 3.2s
For object B
s=ut +1/2 at ^2
25=0 +1/2(10)+2
t^2= 25÷5=5
t= root 5 s
Ratio: root 3.2:root 5