Apply the Pythagorean theorem to get the resultant velocity:
V = 
Given values:
Vx = 57.8m/s
Vy = 5.6m/s
Plug in and solve for V:
V = 58.1m/s
EDIT: Let's get the direction of the resultant velocity as well.
This equation will give the angle of the velocity as measured off of the ground:
θ = tan⁻¹(Vy/Vx)
Again, the given values are:
Vx = 57.8m/s
Vy = 5.6m/s
Plug in the values and solve for the angle θ:
θ = tan⁻¹(5.6/57.8)
θ = 5.5°
The resultant velocity is oriented 5.5° off the ground.
Answer:
26.56°
Explanation:
given,
horizontal distance travel by the ant = 2 m
vertical distance travel by the ant = 1 m
angle of the ant above the initial point = ?
using trigonometric function

θ is the angle of the ant form initial position
h is the height on the wall
x is the horizontal distance covered by the ant



hence, the angle made by the ant from the initial position is equal to 26.56°
Those two words are antonyms ... two words with opposite meanings.
"Wax" means "grow".
"Wane" means "shrink".
Answer:
Power of the electron beam in the x-ray tube is 2304 W
Explanation:
Given;
voltage of the electron beam in the x-ray tube, V = 144 kV = 144 x 10³ V
current of the electron beam in the x-ray tube, I = 16.0 mA = 16 x 10⁻³ A
Power is given as the product of voltage and current in a circuit.
Power of the electron beam in the x-ray tube, P = V x I
Power of the electron beam in the x-ray tube, P = 144 x 10³ V x 16 x 10⁻³ A
P = 2304 W
Therefore, power of the electron beam in the x-ray tube is 2304 W
Answer:
5.3 nC
Explanation:
The initial charge stored on the capacitor is given by:
(1)
where
is the capacitance of the capacitor
is the potential difference across the capacitor
Substituting numbers into the equation, we have

When the Teflon slab is inserted between the plates, the capacitance of the capacitor is increased as follows:

where k=2.1 is the dielectric constant of the Teflon. Since the voltage V remains constant, this means that the new charge stored by the capacitor (1) will be

and so
