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Marina CMI [18]
3 years ago
8

An ideal step-down transformer is needed to reduce a primary voltage of 120 V to 6.0 V. What must be the ratio of the number of

turns in the secondary to the number of turns in the primary
Physics
1 answer:
Julli [10]3 years ago
7 0

Answer:

N_s :  N_p = 20 : 1

Explanation:

From the question we are told that

    The primary voltage is  V_p  =  120 \  V

     The secondary voltage is  V_s  =  6 \  V    

     

Generally from the transformer equation we have that

        \frac{V_p}{V_s}  =  \frac{N_p}{N_s}

So

       \frac{120}{6}  =  \frac{N_p}{N_s}

=>      \frac{N_p}{N_s} = 20

Therefore the ratio of the number of turns in the secondary to the number of turns in the primary is  

       N_s :  N_p = 20 : 1

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(a) Let <em>x</em> be the maximum elongation of the spring. At this point, the glider would have zero velocity and thus zero kinetic energy. The total work <em>W</em> done by the spring on the glider to get it from the given point (4.00 cm from equilibrium) to <em>x</em> is

<em>W</em> = - (1/2 <em>kx</em> ² - 1/2 <em>k</em> (0.0400 m)²)

(note that <em>x</em> > 4.00 cm, and the restoring force of the spring opposes its elongation, so the total work is negative)

By the work-energy theorem, the total work is equal to the change in the glider's kinetic energy as it moves from 4.00 cm from equilibrium to <em>x</em>, so

<em>W</em> = ∆<em>K</em> = 0 - 1/2 <em>m</em> (0.835 m/s)²

Solve for <em>x</em> :

- (1/2 (160 N/m) <em>x</em> ² - 1/2 (160 N/m) (0.0400 m)²) = -1/2 (0.190 kg) (0.835 m/s)²

==>   <em>x</em> ≈ 0.0493 m ≈ 4.93 cm

(b) The glider attains its maximum speed at the equilibrium point. The work done by the spring as it is stretched away from equilibrium to the 4.00 cm position is

<em>W</em> = - 1/2 <em>k</em> (0.0400 m)²

If <em>v</em> is the glider's maximum speed, then by the work-energy theorem,

<em>W</em> = ∆<em>K</em> = 1/2 <em>m</em> (0.835 m/s)² - 1/2 <em>mv</em> ²

Solve for <em>v</em> :

- 1/2 (160 N/m) (0.0400 m)² = 1/2 (0.190 kg) (0.835 m/s)² - 1/2 (0.190 kg) <em>v</em> ²

==>   <em>v</em> ≈ 1.43 m/s

(c) The angular frequency of the glider's oscillation is

√(<em>k</em>/<em>m</em>) = √((160 N/m) / (0.190 kg)) ≈ 29.0 Hz

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2 years ago
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scoundrel [369]
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Answer:

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Explanation:

From the question given above, the following data were obtained:

Height (h) of tower = 45 m

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Next, we shall determine the time taken for the balloon to hit the shoe of the passerby. This is illustrated below:

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Take the square root of both side

t = √(45/4.9)

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Finally, we shall determine the magnitude of the horizontal velocity of the balloon as shown below:

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Thus, the magnitude of the horizontal velocity of the balloon was 14.85 m/s

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