Question 56: Motion in 1D

Question

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4
th
second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s
2
)

Accepted Answer

In 4 sec. 1
st
drop will travel
$$ \Rightarrow {1 \over 2}$$ $$	imes$$ (9.8) $$	imes$$ (4)
2
= 78.4 m
$$	herefore$$ 2
nd
drop would have travelled
$$\Rightarrow$$ 78.4 $$-$$ 34.3 = 44.1 m.
Time for 2
nd
drop
$$ \Rightarrow {1 \over 2}$$(9.8)t
2
= 44.1
t = 3 sec
$$	herefore$$ each drop have time gap of 1 sec
$$	herefore$$ 1 drop per sec

Answer

3 drops / 2 sconds

Answer

2 drops / second

Answer

1 drop / second

Answer

1 drop / 7 seconds

Motion in 1D

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4 th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g = 9.8 m/s 2 )

Choose the correct answer: