Answer:
168 Hz
Explanation:
The Doppler equation describes how sound frequency depends on relative velocities:
fr = fs (c + vr) / (c + vs),
where fr is the frequency heard by the receiver,
fs is the frequency emitted at the source,
c is the speed of sound,
vr is the velocity of the receiver,
and vs is the velocity of the source.
Note: vr is positive if the receiver is moving towards the source, negative if away.
Conversely, vs is positive if the receiver is moving away from the source, and negative if towards.
Given:
fs = 164 Hz
c = 343 m/s
vr = -15 m/s
vs = -23 m/s
fr = fs (c + vr) / (c + vs)
fr = 164 Hz (343 m/s − 15 m/s) / (343 m/s − 23 m/s)
fr = 168 Hz
Answer:
Approximately 11.43
Explanation:
Using the formula charge=current×time
then current=charge/time. That then will be C=96/8.4=11.4285714286 so approximately 11.43
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Use the equation for momentum:

Plug in the given mass and velocity into the equation:


Answer:
6.7 m/s @ 116.6°
Explanation:
Use Pythagorean theorem to find the magnitude:
v² = vx² + vy²
v² = (-3 m/s)² + (6 m/s)²
v = √45 m/s
v ≈ 6.7 m/s
Use trigonometry to find the direction:
θ = atan(vy / vx)
θ = atan(6 m/s / -3 m/s)
θ = atan(-2)
θ ≈ 116.6° from the +x axis, or 63.4° north of west.