Answer:
Potential energy is defined as <em>"the energy possessed by a body by virtue of its position relative to the other objects". </em>
- For the gravitational force ,<em> Potential energy =</em> <em>mgh </em><em>Joules.</em>
- <em>g = 9.81 m/s² ; acceleration due to gravity</em>
- Examples: <em>1. A raised weight, water behind the dam, stretched rubber band.</em>
To calculate the frequency change of a moving source, the formula used is:
f = c*fo/(c+Vs)
where:
f = frequency observed
c = speed of sound
Vs = speed of source (positive if it's moving away from observer and negative if it is moving towards the observer)
fo = emitted frequency of the source
f = 342*652/(342-5)
f = 661.67 Hz or 662 Hz --> FINAL ANSWER
Data:
Vo = 120 ft / s
α = 30°
t = 5 s
x = ?
Formulas:
cos(α) = Vo,x / Vo => Vo,x = Vo * cos(α)
x = Vo,x * t
Calculations:
Vo,x = 120 ft / s * cos(30) = 103.92 ft /s
x = 103.92 ft/s * 5 s = 519.6 ft
Answer: 519.6 ft
Explanation:
First, we will calculate the torque because of the rope wrapped around the drum as follows.
torque1, =
= 3.496 N m
Now, we will calculate the torque because of the rope around the core as follows.
torque2, =
= 3.046 N m
(Since, we are provided with any figure which means that the torque can act either in the same direction or in the opposite direction.)
So, if the torque is acting in the same direction then,
torque = torque1 + torque2
= (3.496 + 3.046) N m
= 6.542 Nm
And, if the torque is acting in the opposite direction then,
torque = torque1 - torque2
= (3.496 - 3.046) Nm
= 0.45 Nm