Answer:
1) Current decreases; 2) Inverse proportionally; 3) 1[A]
Explanation:
1)
As we can see as the resistance increases the current decreases, if we take two points as an example, when the resistance is equal to 50 [ohms] the current is equal to 1[amp] and when the resistance is equal to 200 [ohms] the current tends to have a value below 0.5 [amp]. Thus demonstrating the decrease in current.
2)
Inverse proportionally, by definition we know that the law of ohm determines the voltage according to resistance and amperage. This is the voltage will be equal to the product of the voltage by the resistance.
![V=I*R\\V = voltage [volts]\\I = current[amp]\\R = resistance [ohms]](https://tex.z-dn.net/?f=V%3DI%2AR%5C%5CV%20%3D%20voltage%20%5Bvolts%5D%5C%5CI%20%3D%20current%5Bamp%5D%5C%5CR%20%3D%20resistance%20%5Bohms%5D)
where:

And whenever we have in a fractional number the denominator the variable we are interested in, we can say that this is inversely proportional to the value we are interested in determining. In this case, we can see from the two previous expressions that both the current and the resistance appear in the denominator, therefore they are inversely proportional to each other.
3)
If we place ourselves on the graph on the resistance axis, we see that at 50 [ohm] will correspond a current value equal to 1 [A].
Answer:
The answer is: B. -487 ..............
The block with the bullet lodged in the block is now travelling at 2.133 m/s.
<h3>What is momentum conservation principle?</h3>
When there is no external force acting on the system, the momentum remains conserved.
For inelastic collision, after collision both objects travel with common speed.
m1u1 + m2u2 =(m1 +m2)v
Substitute initial velocity of bullet u1 =320 m/s , initial velocity of block u2 =0, mass of bullet m1 = 0.1 kg and mass of block m2 = 14.9 kg.
Solve for the final velocity of bullet,
0.1 x 320 + 14.9 x 0 = (0.1 +14.9) x v
v = 2.133 m/s
Thus, the block with the bullet lodged in block now travelling at 2.133 m/s.
Learn more about momentum conservation principle.
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The difference in the power required by the motor at start up and at operating speed is 9778.57
<h3>What is power? </h3>
This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:
Power (P) = voltage (V) × current (I)
P = IV
Power = square voltage (V²) / resistance ®
P = V² / R
<h3>How to determine the power by the EMF</h3>
- Voltage (V) = 37 V
- Resistance (R) = 0.14 Ω
- Power by EMF (P₁) =?
P = V² / R
P₁ = 62² / 0.14
P₁ = 27457.14 watts
<h3>How to determine the power by the back EMF</h3>
- Voltage (V) = 62 V
- Resistance (R) = 0.14 Ω
- Power by back EMF (P₂) =?
P = V² / R
P₂ = 37² / 0.14
P₂ = 9778.57 watts
<h3>How to determine the power difference</h3>
- Power by EMF (P₁) = 27457.14 watts
- Power by back EMF (P₂) = 9778.57 watts
- Difference in power =?
Difference = P₁ - P₂
Difference in power = 27457.14 - 9778.57
Difference in power = 17678.57 watts
Learn more about electrical power:
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