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inessss [21]
2 years ago
6

A stunt driver drives a car at 15 m/s off a cliff and into a lake. The surface of the water is 25 m below the cliff.

Physics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

Explanation:

Given

initial velocity u = 15m/s

Height below the water = 25m

a) Using the equation of motion S = (v+u)/2 * t

25 = 0+15/2 * t

25 = 7.5t

t = 25/7.5

t = 3.33s

Hence it will take 3.33secs to reach the water

b) The horizontal distance is expressed as;

S = Uxt

S = 15(3.33)

S  = 50m

Hence the horizontal distance from the cliff where the car entered the water is 50m

c) The velocity of the car v.

Using the equation of motion;

v² = u²+2gS

v² = 15²+2(9.8)(25)

v² = 225+490

v = √715

v = 26.74m/s

Hence the car hit the water at the velocity of 26.74m.s

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2 years ago
In a series RLC resonance circuit, the resonance frequency f0 = 700 kHz. The resistor R = 10 Ohm. The specified bandwidth (BW) s
sladkih [1.3K]

Answer:

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Explanation:

Given;

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bandwidth (BW)  = \frac{R}{2\pi L}

BW = \frac{R}{2\pi L}

make L (inductor) the subject of the formula

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F_o =\frac{1}{2\pi\sqrt{LC} } \\\\\sqrt{LC} = \frac{1}{2\pi F_o} \\\\LC = \frac{1}{4\pi ^2F_o^2}= \frac{1}{4\pi ^2(700,000)^2} = 5.168*10^{-14}

make C (capacitor)  the subject of the formula

C = \frac{5.168*10^{-14}}{1.591*10^{-4}} = 3.248*10^{-10} \ F = \ 3.248*10^{-4} \ \mu F

quality factor (Q) = \frac{1}{R} \sqrt{\frac{L}{C}} \ = \frac{1}{10} \sqrt{\frac{1.591*10^{-4}}{3.248*10^{-10}}}=69.99

quality factor (Q) =  69.99

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