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Romashka [77]
3 years ago
12

A robot starts from a certain point and moves east for a distance of 5.0 meters, then goes north for 3.0 meters, and then turns

west for 2.0 meters. a. What are the x-y coordinates for the resultant vector? b. What is the magnitude of the resultant vector for the robot?
Physics
1 answer:
pashok25 [27]3 years ago
4 0

Explanation:

It is given that, a robot starts from a certain point and moves east for a distance of 5.0 meters, then goes north for 3.0 meters, and then turns west for 2.0 meters.

Let east is +x, west is -x north is +y.

When it moves east for a distance of 5.0 meters, it means (5,0)

When it goes north for 3.0 meters, and then turns west for 2.0 meters, it means (0,3) +(-2,0)

(a) x-y coordinates for the resultant vector is (3,3)

(b) The magnitude of the resultant vector for the robot is given by :

R=\sqrt{3^2+3^2} \\\\R=4.24\ m

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Sladkaya [172]

Answer:

<em>The new pressure = 5.64 atm.</em>

Explanation:

Using The general gas equation,

P₁V₁/T₁ = P₂V₂/T₂..................... Equation 1

making P₂ the subject of the equation

P₂ = P₁V₁T₂/V₂T₁ ...................... Equation 2

Where P₁ = initial pressure, V₁ = initial Volume, T₁ = Initial temperature, P₂ = final pressure, V₂ = final volume, T₂ = final Temperature.

<em>Given: P ₁= 2.5 atm, T₁ = 298 K, V₁= 900 milliliters, T ₂= 336 K, V₂ = 450 milliliters</em>

<em>Substituting these values into equation 2,</em>

<em>P₂ = (2.5×900×336)/(298×450)</em>

P₂ = 756000/134100

P₂ = 5.64 atm.

<em>Thus the new pressure = 5.64 atm.</em>

5 0
3 years ago
The mass of a hot-air balloon and its cargo (not including the air inside) is 170 kg. The air outside is at 10.0°C and 101 kPa.
scoundrel [369]

Answer:

108.37°C

Explanation:

P₁ = Initial pressure = 101 kPa

V₁ = Initial volume = 530 m³

T₁ = Initial temperature = 10°C = 10+273.15 =283.15 K

P₂ = Final pressure = 101 kPa (because it is open to atmosphere)

V₂ = Final volume = 530 m³

P₁V₁ = n₁RT₁

⇒101×530 = n₁RT₁

⇒53530 J = n₁RT₁

P₂V₂ = n₂RT₂

⇒53530 J = n₂RT₂

\frac{m_1}{m_2}=\frac{\rho V_1}{\rho V_1-170}\\\Rightarrow \frac{m_1}{m_2}=\frac{1.244\times 530}{1.244\times 530-170}=1.347\\\Rightarrow \frac{m_1}{m_2}=1.347\\\Rightarrow \frac{n_1}{n_2}=1.347

Dividing the first two equations we get

1=\frac{n_1}{n_2}\frac{T_1}{T_2}\\\Rightarrow 1=1.347\frac{283.15}{T_2}\\\Rightarrow T_2=1.347\times 283.15= 381.52\ K

∴Temperature must the air in the balloon be warmed before the balloon will lift off is 381.25-273.15 = 108.37°C

8 0
3 years ago
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media.discordapp.net/attachments/782414373888458783/826224189828366377/video0.mp4
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How many 100W light bulbs could be powered for one year by the direct conversion of 1g of matter into energy?
stellarik [79]

Answer:

No. of 100 W bulbs, n = 28,539 bulbs

Given:

Power of a single bulb = 100 W

Time period, T = 1 yr = 365\times 24\times 60\times 60 = 31,536,000 s

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Solution:

According to Eintein's mass-energy equivalence:

E = mc^{2}

E = 1\times 10^{-3}\times (3\times 10^{8})^{2}

E =  9\times 10^{13} J

Power of a single bulb, P =  \frac{E}{T}

                                       P =  \frac{9\times 10^{13} }{31,536,000}

                                       P = 28,53,881 W

No. of 100 W bulbs, n = \frac{P}{power of one bulb}

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Answer:

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Explanation:

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