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ira [324]
4 years ago
12

A 240-volt, 2-amp motor is connected to a three-wire, 120/240-volt system. Connected between the black wire and neutral are four

200-watt, 120-volt lamps and a 120-volt, 1-amp motor. Between the red wire and neutral are three 200-watt, 120-volt lamps, one 1.67-amp motor and one 120-volt, 1-amp motor. (Round the FINAL answer to two decimal places.). How many amps flow in the red wire?

Physics
1 answer:
pantera1 [17]4 years ago
6 0

Answer:

(i)The current flow in black wire = 9.67 A (ii) The current low in the red wire is 9.68 A (iii) The current flow in neutral wire is  15.36 A (iv) when 240 volt were disconnected current  in black wire is 7.68 A (v) when 240 volt were disconnected current in red wire is 7.68 A (vi) 15.36 A (vii) 6.34 (viii) 9.68 A (ix) 12.02 A

Explanation:

Solution

The current drawn by one amp is

I =P/V

I =200/120

I= 1.67 A

(i) The current flow in the black wire  is

IBK = 4 * 1.67 A + 1A + 2A

IBK = 9.67 A

(ii) Current flow in the red wire is

IRD = 3 * 1.67 A + 1.67 A + 1A + 2A

= 8.68A + 1 A = 9.68 A

Note: Kindly find an attached copy of part of the solution to the given question above.

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A model used for the yield y of an agricultural crop as a function of the nitrogen level n in the soil (measured in appropriate
pychu [463]

<span>The maxima of an equation can be obtained by taking the 1st derivative of the equation then equate it to 0.</span>The value of N that result in best yield is when dy/dn = 0.

Taking the 1st derivative of the equation y=(kn)/(9+n^2) :<span>
</span>

By using the quotient rule the form of the equation is:<span>
y = g(n) / h(n) 
where:</span>

g(n) = kn    --->    g'(n) = k 

<span> <span>h(n) = 9 + n^2     --->    h'(n) = 2n </span>
dy/dn is defined as:
<span>dy/dn = [h(n) * g'(n) - h'(n) * g(n)] / h(n)^2 
dy/dn = [(9 + n^2)(k) - (kn)(2n)] / (9 + n^2)^2 
dy/dn = (9k + kn^2 - 2kn^2) / (9 + n^2)^2 
dy/dn = (9k - kn^2) / (9 + n^2)^2 
dy/dn = k(9 - n^2) / (9 + n^2)^2 

<span>Equate dy/dn = 0, then solve for n 
k(9 - n^2) / (9 + n^2)^2 = 0 
k(9 - n^2) = 0 
9 - n^2 = 0 
n^2 = 9 
n = sqrt(9) 
n = 3 

<span>Answer: The nitrogen level that gives the best yield of agricultural crops is 3 units.</span></span></span></span>

5 0
4 years ago
A bar 4.0m long weights 400 N. Its center of gravity is 1.5m from on end. A weight of 300N is attached at the light end. What ar
Debora [2.8K]

Answer:

The resulting, needed force for equilibrium is a reaction from a support, located at 2.57 meters from the heavy end. It is vertical, possitive (upwards) and 700 N.

Explanation:

This is a horizontal bar.

For transitional equilibrium, we just need a force opposed to its weight, thus vertical and possitive (ascendent). Its magnitude is the sum of the two weights, 400+300 = 700 N, since weight, as gravity is vertical and negative.

Now, the tricky part is the point of application, which involves rotational equilibrium. But this is quite simple if we write down an equation for dynamic momentum with respect to the heavy end (not the light end where the additional weight is placed). The condition is that the sum of momenta with respect to this (any) point of the solid bar is zero:

0=\Sigma_{i}M=400\cdot1.5+300\cdot4-d\cdot700

Where momenta from weights are possitive and the opposed force creates an oppossed momentum, then a negative term. Solving our unknown d:

d=\frac{400\cdot1.5+300\cdot4}{700} =2.57 m

So, the resulting force is a reaction from a support, located at 2.57 meters from the heavy end (the one opposed to the added weight end).

8 0
4 years ago
The purpose of ________ experiment is to review the physical concepts and relationships associated with the flow of heat in and
shutvik [7]

Answer:

Calorimetry

Explanation:

 In the calorimetry experiments, mix a known amount of a high temperature material, about 100 ° C, with an equivalent amount of water at room temperature. In a device thermally isolated from the environment, and the initial and final temperatures of liquid and solid are analyzed and energy conservation relationships, the specific heat of the unknown material can be found.

4 0
3 years ago
Why do some astronomers object to the new definition of a planet that was adopted in 2006?
cestrela7 [59]

Answer:

A. New space missions show that Pluto is much larger than originally thought.

Explanation:

The new definition of a planet that was adopted in 2006, defined planet as  an object that orbits the sun, with sufficient mass to be round, not a satellite of another object, and has removed debris and small objects from the area around its orbit.

This new definition of a planet that was adopted in 2006, classified Pluto as "dwarf planet", because Pluto meets planetary criteria except that it has not cleared debris from its orbital neighborhood.

However, new Horizons spacecraft flew by Pluto in 2015, revealed that Pluto is much larger than originally thought

Therefore, the correct option is "A"

A. New space missions show that Pluto is much larger than originally thought.

4 0
4 years ago
A 0.3-m-radius automobile tire rotates how many revolutions after starting from rest and accelerating at a constant 2.13 rad/s2
Aloiza [94]

Answer:

The automobile tire rotates 91 revolutions

Explanation:

Given;

angular acceleration of the automobile, α = 2.13 rad/s²

time interval, t = 23.2-s

To calculate the number of revolutions, we apply the first kinematic equation;

\theta = \omega_i  \ + \frac{1}{2} \alpha t^2

the initial angular velocity is zero,

\theta =0\ + \frac{1}{2} (2.13) (23.2)^2\\\\\theta = 573.2256 \ Rad

Find how many revolutions that are in 573.2256 Rad

N = \frac{\theta}{2 \pi} = \frac{573.2256}{2\pi} \\\\N = 91 \ revolutions

Therefore, the automobile tire rotates 91 revolutions

3 0
4 years ago
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