Answer:
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Answer:
The resultant vector is
.
Explanation:
First, each vector is determined in terms of absolute coordinates:
6-meter vector with direction: 30º north of east.


4-meter vector with direction: 30º east of north.


The resultant vector is obtaining by sum of components:

The resultant vector is
.
Answer:
The water level will drop by about 1.24 cm in 1 day.
Explanation:
Here Mass flux of water vapour is given as

where
is the mass flux of the water which is to be calculated.
- D is diffusion coefficient which is given as

- l is the thickness of the film which is 0.15 cm thick.
is given as

In this
is the saturated water pressure, which is look up from the saturated water property at 20°C and 0.5 saturation given as 2.34 Pa
is the air pressure which is given as 0.5 times of 
- R is the universal gas constant as

- T is the temperature in Kelvin scale which is

By substituting values in the equation

Converting
into 
As 1 mole of water 18
so

Putting this in the equation of mass flux equation gives

For calculation of water level drop in a day, converting mass flux as

So the water level will drop by about 1.24 cm in 1 day.
Answer:
Final speed, v = 28.81 m/s
Explanation:
Given that,
Mass of the car, m = 1423 kg
Initial speed of the car, u = 26.4 m/s
Force experience by the car, F = 901 N
Distance, d = 106 m
To find,
The speed of the car after traveling this distance.
Solution,
The force experienced by a car is equal to the product of mass and acceleration.




Let v is the final speed of the car. Using third equation of motion to find it as :



v = 28.81 m/s
So, the final speed of the car is 28.81 m/s.
Answer:The cannons total flight time is 2.23seconds
Explanation:
A ball fired diagonally is fired at an angle of 45° to the horizontal. The motion of the fired ball is a projectile motion. A projectile is a motion in which an object fired into space with an initial velocity U is allowed to fall freely under the influence of gravitational force.
To total time of flight T of the cannon ball can be expressed as;
T = 2Usin(theta)/g where;
U is the initial velocity or speed of the ball = 31m/s
theta is the angle that the ball make with the horizontal = 45°
g is the acceleration due to gravity = 9.81m/s²
Substituting the given datas into the formula we have;
T = 31sin45°/9.81
T = 31×0.7071/9.81
T = 21.92/9.81
T = 2.23seconds