Answer: the total velocity of the air is 67.69km/h to the north and 35.4km/h to the east.
Explanation: The initial velocity of the plane is 200km/h south (supose that south is our positive x-axis here and east is the positive y-axis)
In one hour, the plane is located 137km away from the initial position, and the position in X is equal to 137km*cos(15°) = 132.33, this means that the velocity in the x axis is equal to 132.33 km/h, knowing that the initial velocity of the plane was 200km in the x-axis, this means that the velocity of the air must be:
132.33km/h - 200km/h = -67.69km/h
km and the position in "y" is equal to 137km*sin(15°) = 35.4km
This means that the velocity of the air in the y-axis is 35.4km/h
So the total velocity of the air is 67.69km/h to the north and 35.4km/h to the east.
<span>Kinetic
energy is the energy that is possessed by an object that is moving. It is
calculated by one-half the product of the mass and the square of the velocity
of the object. We need to determine the velocity of the cart that is moving.
</span>
First, we use Newton's Second Law of motion;
<span>Force = ma
200 = 55a
a = 3.64 m/s^2
Then, from the kinematic equation we calculate the velocity;
v^2 = v0^2 + 2ax
where v is the final velocity, v0 is the initial veocity (zero since it initially start at zero), a is the acceleration ( 3.64 m/s^2) and x is the distance traveled.
v^2 = 0^2 + 2 (3.64) (10)
v^2 = 72.73 m^2 / s^2
v = 8.53 m / s
KE = mv^2 / 2
KE = 1/2 (55) (8.53^2)
KE= 2000 J</span>
sawdust float in water so you could dump the mixture in water so that all of the sawdust float on the surface while the nails sink to the bottom.
Answer:
a) the first vector has magnitude 58 cm and the angle is 15 measured clockwise from the positive side of the x-axis
b) the second vector, the magnitude is 55.7 cm and the angle is 35 half from the negative side of the x-axis in a clockwise direction
c) the magnitude is 54.2 cm with an angle of 18 measured counterclockwise from the x-axis
Explanation:
For this exercise we draw a Cartesian coordinate system in this system: East coincides with the positive part of the x-axis and North with the positive part of the y-axis.
a) the first vector has magnitude 58 cm and the angle is 15 measured clockwise from the positive side of the x-axis
b) the second vector, the magnitude is 55.7 cm and the angle is 35 half from the negative side of the x-axis in a clockwise direction
c) the magnitude is 54.2 cm with an angle of 18 measured counterclockwise from the x-axis
In the attachment we can see the representation of the three vectors
Answer:
3.13cm/s²
Explanation:
Given
Initial velocity u = 3.5cm/s
Final velocity v = 8.2cm/s
Time t = 1.5secs
Required
Acceleration of the cart a
To get that, we will use the equation of motion
v = u+at
Substitute the given parameters
8.2 = 3.5+1.5a
1.5a = 8.2-3.5
1.5a = 4.7
a = 4.7/1.5
a = 3.13cm/s²
Hence the acceleration to the cart is 3.13cm/s²
