What is the speed of sound at sea level?
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For a stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s, the frequency perceived is mathematically given as'
F=81.721Hz
<h3>What is the frequency perceived by a firefighter racing toward the station at 11km/h?</h3>Generally, the equation for the doppler effect is mathematically given as
Therefore
F=81(343+3.05556)/343
F=81.721Hz
In conclusion, the frequency is
F=81.721Hz
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Answer:
Explanation:
Newton's 2nd Law relates the net force <em>F</em> on an object of mass <em>m </em>with the acceleration <em>a</em> it experiments by <em>F=ma.</em> In our case the net force is the friction force, since it's the only one the skier is experimenting horizontally and the vertical ones cancel out since he's not moving in that direction. Our acceleration then will be:
Also, acceleration is defined by the change of velocity in a given time t, so we have:
Since we want the change in velocity, <em>mixing both equations</em> we conclude that:
Which for our values means:
To solve this problem we will use the kinematic equations of descriptive motion of a projectile for which both the height reached and the distance traveled are defined. From this type of movement the lion reaches a height (H) of 3m and travels a horizontal distance (R) of 10 m. Mathematically the equations that describe this movement are given as,
Dividing the two equation we have that
Substituting values of H and R, we get
Substituting the value of \theta in equation we get,
Therefore the speed of the mountain lion just as it leaves the ground is 9.98m/s at an angle of 50.2°