Answers:
a)The balloon is 68 m away of the radar station
b) The direction of the balloon is towards the radar station
Explanation:
We can solve this problem with the Doppler shift equation:
(1)
Where:
is the actual frequency of the sound wave
is the "observed" frequency
is the velocity of sound
is the velocity of the observer, which is stationary
is the velocity of the source, which is the balloon
Isolating
:
(2)
(3)
(4) This is the velocity of the balloon, note the negative sign indicates the direction of motion of the balloon: It is moving towards the radar station.
Now that we have the velocity of the balloon (hence its speed, the positive value) and the time (
) given as data, we can find the distance:
(5)
(6)
Finally:
(8) This is the distance of the balloon from the radar station
T = 40.0 N
angle = 25°
Trigonometric ratios:
sin(25°) = vertical component of the force / force
cos(25°) = horizontal component of the force / force
tan (25°) = vertical compoent of the force / horizontal component of the force.
From cos(25°) you can find the horizontal component of the force:
horizontal component of the force = force * cos(25°)
The force is the tension, 40.0 N.
horizontal component of the force = 40.0 N * cos (25°) = 36.25 N
Answer: 36.25 N
Well you first need an equation, then put it on a graph
The different types of energy transfers are convection, conduction, and radiation.
I'm not too sure on the second one but thermodynamics relates thermal energy, kinetic energy, and potential energy. I'm basing this on the formulas of the laws of thermodynamics, but it could also be temperature, heat, or work.