Explanation:
The height of the rise of liquid with capillary tube is given by the formula as follows :

Where
r is radius
It is clear that the height of the rise of liquid is inversely proportional to the radius of the capillary tube.
If the radius of the capillary tube is doubled, it means the height of rise of liquid with capillary tube become half.
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Answer:
Explanation:
100 persent transmission implies that the T=1
Therefore using the previous result we have


The depth of the well for 100% transmission should be

Answer:
a) 12.528 m/s
b) 15.344 m/s
Explanation:
Given:
Mass of the child, m = 34.9 kg
Height of the water slide, h = 16.0 m
Now,
a) By the conservation of energy,
loss in potential energy = gain in kinetic energy
mgh = 
where,
g is the acceleration due to the gravity
v is the velocity of the child
thus,
at halfway down, h =
= 8 m
therefore,
34.9 × 9.81 × 8 = 
or
v = 12.528 m/s
b)
at three-fourth way down
height =
= 12 m
thus,
loss in potential energy = gain in kinetic energy
34.9 × 9.81 × 12 = 
or
v = 15.344 m/s
Answer: displacement of airplane is 172 km in direction 34.2 degrees East of North
Explanation:
In constructing the two displacements it is noticed that the angle between the 75 km vector and the 155 km vector is a right angle (90 degrees).
Hence if the plane starts out at A, it travels to B, 75 km away, then turns 90 degrees to the right (clockwise) and travels to C, 155 km away from B. Angle ABC is 90 degrees, hence we can use Pythagoras theorem to solve for AC
AC2 = AB2 + BC2 ; AC^2 = 752 + 1552 ; from this we get AC = 172 km (3 significant figures)
Angle BAC = Tan-1(155/75) ; giving angle BAC = 64.2 degrees
Hence AC is in a direction (64.2 - 30) = 34.2 degrees East of North
Therefore the displacement of the airplane is 172 km in a direction 34.2 degrees East of North