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solmaris [256]
2 years ago
15

HELP ASAP!!!

Physics
1 answer:
miss Akunina [59]2 years ago
4 0

Write each force in component form:

<em>v </em>₁ : 50 N due east   →   (50 N) <em>i</em>

<em>v</em> ₂ : 80 N at N 45° E   →   (80 N) (cos(45°) <em>i</em> + sin(45°) <em>j</em> ) ≈ (56.5 N) (<em>i</em> + <em>j</em> )

The resultant force is the sum of these two vectors:

<em>r</em> = <em>v </em>₁ + <em>v</em> ₂ ≈ (106.5 N) <em>i</em> + (56.5 N) <em>j</em>

Its magnitude is

|| <em>r</em> || = √[(106.5 N)² + (56.5 N)²] ≈ 121 N

and has direction <em>θ</em> such that

tan(<em>θ</em>) = (56.5 N) / (106.5 N)   →   <em>θ</em> ≈ 28.0°

i.e. a direction of about E 28.0° N. (Just to clear up any confusion, I mean 28.0° north of east, or 28.0° relative to the positive <em>x</em>-axis.)

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A power plant produces 1000 MW to supply a city 40 km away. Current flows from the power plant on a single wire of resistance 0.
nikitadnepr [17]

Answer:

Current = 8696 A

Fraction of power lost = \dfrac{80}{529} = 0.151

Explanation:

Electric power is given by

P=IV

where I is the current and V is the voltage.

I=\dfrac{P}{V}

Using values from the question,

I=\dfrac{1000\times10^6 \text{ W}}{115\times10^3\text{ V}} = 8696 \text{ A}

The power loss is given by

P_\text{loss} = I^2R

where R is the resistance of the wire. From the question, the wire has a resistance of 0.050\Omega per km. Since resistance is proportional to length, the resistance of the wire is

R = 0.050\times40 = 2\Omega

Hence,

P_\text{loss} = \left(\dfrac{200000}{23}\right)^2\times2

The fraction lost = \dfrac{P_\text{loss}}{P}=\left(\dfrac{200000}{23}\right)^2\times2\div (1000\times10^6)=\dfrac{80}{529}=0.151

3 0
3 years ago
A scientist plans to find out the percent of teenagers who like science. She interviews 500 teenagers leaving a science museum a
Georgia [21]
The source of information was biased. It was like walking along a river bank in the country and asking everybody you meet whether they like fishing. Or asking 500 people sitting in the bleachers whether they like baseball.
I'm sure the scientist would have gotten different data if she interviewed 500 teenagers at neighborhood basketball courts, or 500 teenagers at a rock concert.
5 0
3 years ago
Read 2 more answers
People in finance work mostly with: <br> Insurance <br> Products <br> Information <br> Money
zloy xaker [14]

The answer is money. Hope this helps.

6 0
3 years ago
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Your shopping cart has a mass of 65 kilograms, In order to accelerate the shopping cart down an aisle at 0.3 m/sec2, what force
garri49 [273]
Remember Newton's second law: F=ma

to get the force in newtons, mass should be in kg and acceleration in m/s^2

conveniently, we don't need to convert units

we just need to multiply the two to get the force

65* 0.3 = 19.5 kg m/s^2 or N

if significant digit is an issue, the least number if sig figs is 1 so the answer would be 20 N
4 0
3 years ago
Young's Modulus refers to changes in the: a- Volume b- Length c- Body layers
bekas [8.4K]

<u>Answer:</u> The correct answer is Option b.

<u>Explanation:</u>

Young's Modulus is defined as the ratio of stress acting on a substance to the amount of strain produced.

Stress is defined as force per unit area and strain is defined as proportional deformation in a material.

The equation representing Young's Modulus is:

Y=\frac{F/A}{\Delta l/l}=\frac{Fl}{A\Delta l}

where,

Y = Young's Modulus

F = force exerted by the weight

l = length of wire

A = area of cross section

\Delta l = change in length

Hence, the correct answer is Option b.

6 0
3 years ago
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