Answer:
259 Hz or 269 Hz
Explanation:
Beat: This is the phenomenon obtained when two notes of nearly equal frequency are sounded together. The S.I unit of beat is Hertz (Hz).
From the question,
Beat = f₂-f₁................ Equation 1
Note: The frequency of the other instrument is either f₁ or f₂.
If the unknown instrument's frequency is f₁,
Then,
f₁ = f₂-beat............ equation 2
Given: f₂ = 264 Hz, Beat = 5 Hz
Substitute into equation 2
f₁ = 264-5
f₁ = 259 Hz.
But if the unknown frequency is f₂,
Then,
f₂ = f₁+Beat................. Equation 3
f₂ = 264+5
f₂ = 269 Hz.
Hence the beat could be 259 Hz or 269 Hz
Answer: c) 1.31 × 10⁴N
Explanation:
Centripetal force is a force that causes a body to move in a circular path. The body possesses a centripetal acceleration.
According to newtons first law
Force = mass (m) ×acceleration (a)
Acceleration of a body moving in a circular path = v²/r where;
v is the velocity and r is the radius
Force = MV²/r
Given m = 250kg v = 96.5km/hr r = 13.7m
We need to convert 96.5km/hr to m/s
= 96.5km ×1000/1hr × 3600
= 96,500/3,600
v = 26.8m/s
Force = 250 × 26.8²/13.7
Force = 13,106.5N
The centripetal force = 13,106.5N
= 1.31 × 10⁴N
Answer:
1.08×10⁹ J
Explanation:
From the question given above, the following data were obtained:
Power (P) = 100 kilowatt
Time (t) = 3 hours
Energy (E) =?
Next, we shall convert 100 kilowatt to Watts. This can be obtained as follow:
1 KW = 1000 W
Therefore,
100 KW = 100 KW × 1000 W / 1 KW
100 KW = 100000 W
Thus, 100 KW is equivalent to 100000 W.
Next, we shall convert 3 hrs to second (s). This can be obtained as follow:
1 h = 3600 s
Therefore,
3 h = 3 h × 3600 s / 1 h
3 h = 10800 s
Thus, 3 h is equivalent to 10800 s.
Finally, we shall determine the amount of energy consumed as follow:
Power (P) = 100000 W
Time (t) = 10800 s
Energy (E) =?
P = E/t
100000 = E / 10800
Cross multiply
E = 100000 × 10800
E = 1.08×10⁹ J
Therefore, 1.08×10⁹ J of energy was consumed.
The image position is 13.9 cm from the mirror
Explanation:
To solve this problem, we can use the mirror equation:
where
f is the focal length
p is the distance of the object from the mirror
q is the distance of the image from the mirror
In this problem, we have:
f = 3.4 cm is the focal length of the mirror (positive for a concave mirror)
p = 4.5 cm is the position of the object (the tree)
Solving the equation for q, we find the position of the image:
Learn more about mirrors:
brainly.com/question/8737441
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