If we have the angle and magnitude of a vector A we can find its Cartesian components using the following formula
Where | A | is the magnitude of the vector and 
is the angle that it forms with the x axis in the opposite direction to the hands of the clock.
In this problem we know the value of Ax and Ay and we need the angle .
Vector A is in the 4th quadrant
So:
So:
So:
= -47.28 ° +360° = 313 °
= 313 °
Option 4.
The linear speed of the ladybug is 4.1 m/s
Explanation:
First of all, we need to find the angular speed of the lady bug. This is given by:
where
T is the period of revolution
The period of revolution is the time taken by the ladybug to complete one revolution: in this case, since it does 1 revolution every second, the period is 1 second:
T = 1 s
Therefore, the angular speed is
Now we can find the linear speed of the ladybug, which is given by
where:
is the angular speed
r = 65.0 cm = 0.65 m is the distance of the ladybug from the axis of rotation
Substituting, we find
Learn more about angular speed:
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Answer:
10 kJ
Explanation:
W = Fd
W = (μN)(vt)
W = μ(mg)vt
W = 0.7(42.9)(9.81)(9)(3.8)
W = 10,075.12506 J
W ≈ 10 kJ
35 protons are present in an element whose atomic number is 35.
<u>Explanation:
</u>
In an atom of an element, the number of protons = atomic number
Number of protons = number of electrons
Mass Number = number of protons + number of neutrons
Hence, an atom with atomic number 35 will have 35 protons.
Answer:
The answer to your question is 1800 Pa
Explanation:
Data
Weight = 2700 N
Area = 1.5 m²
Pressure = ?
Formula
Pressure = Force / Area
The Pressure is defined as the force exerted per unit area.
-Substitution
Pressure = 2700 / 1.5
-Result
Pressure = 1800 Pa
The units of pressure are Pascals (Pa)
