Displacement = (straight-line distance between the start point and end point) .
Since the road east is perpendicular to the road north,
the car drove two legs of a right triangle, and the magnitude
of its final displacement is the hypotenuse of the triangle.
Length of the hypotenuse = √ (215² + 45²)
= √ (46,225 + 2,025)
= √ 48,250
= 219.7 miles .
Answer:
<h2>
3338.98 kg/m³</h2>
Explanation:
The formula for calculating the relative density of a substance is expressed as
Relative density of a liquid = Density of the liquid /density of water
Given relative density of a liquid = 0.34
Density of water 997kg/m³
Substituting into the formula we have;
Density of the liquid = Relative density of a liquid * density of water
Density of the liquid = 0.34 * 997
Density of the liquid = 3338.98 kg/m³
Crushing pressure. Human bodies are used to air pressure. The air pressure in our lungs, ears and stomachs is the same as the air pressure outside of our bodies, which ensures that we don't get crushed. Our bodies are also flexible enough to cope when the internal and external pressures aren't exactly the same.
Answer:
A+B; 5√5 units, 341.57°
A-B; 5√5 units, 198.43°
B-A; 5√5 units, 18.43°
Explanation:
Given A = 5 units
By vector notation and the axis of A, it is represented as -5j
B = 3 × 5 = 15 units
Using the vector notations and the axis, B is +15i. The following vectors ate taking as the coordinates of A and B
(a) A + B = -5j + 15i
A+B = 15i -5j
|A+B| = √(15)²+(5)²
= 5√5 units
∆ = arctan(5/15) = 18.43°
The angle ∆ is generally used in the diagrams
∆= 18.43°
The direction of A+B is 341.57° based in the condition given (see attachment for diagrams
(b) A - B = -5j -15i
A-B = -15i -5j
|A-B|= √(15)²+(-5)²
|A-B| = √125
|A-B| = 5√5 units
The direction is 180+18.43°= 198.43°
See attachment for diagrams
(c) B-A = 15i -( -5j) = 15i + 5j
|B-A| = 5√5 units
The direction is 18.43°
See attachment for diagram
Answer:
0.125 m
Explanation:
Pressure in fluids is given as the product of density, height and acceleration due to gravity and expressed as
P=hdg
Where h is the height, d is density, g is acceleration due to gravity and P is pressure.
Making h the subject of formula then
h=P/dg
Given specific gravity of a substance, its density is equal to specific gravity multiplied by density of water. Taking density of pure water as 1000 kg/m³ then the density of reference fluid will be 1.05*1000=1050 kg/m³
Substituting pressure with 1.29*10³ pa as given then taking g as 9.81 m/s² then
H=1.29*10³÷(9.81*1050)=0.1252366389981068880151448958788408329692m
Rounded off, the height is approximately 0.125 m
