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Oksanka [162]
3 years ago
7

a glowing blue mote of mass 32.3 g is traveling east at 4.50 m/s when it collides and merges with another mote of mass 78.0 g th

at is traveling west at 1.12 m/s. find the velocity of the motes after they merge together (be sure to include direction).
Physics
1 answer:
Andrej [43]3 years ago
3 0
Conservation of momentum so the total initial momentum in the system is equal to the total final momentum in the system. You must remember that if an object is travelling in the negative direction, you must put a negative sign for the velocity.

mv + mv = mv

plug in all the numbers

(0.0323)(4.50) + (0.078)(-1.12) = (0.0323 + 0.078)Vf

multiply everything together

0.14535 - 0.08736 = 0.1103Vf

simplify

0.05799 = 0.1103Vf

isolate for vf

Vf = 0.5257m/s east
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A violin with string length 32 cm and string density 1.5 g/cm resonates in its fundamental with the first overtone of a 2.0-m or
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Answer:

T=1022.42 N

Explanation:

Given that

l = 32 cm ,μ = 1.5 g/cm

L =2 m  ,V= 344 m/s

The pipe is closed so n= 3 ,for first over tone

f=\dfrac{nV}{4L}

f=\dfrac{3\times 344}{4\times 2}

f= 129 Hz

The tension in the string given as

T = f²(4l²) μ

Now by putting the values

T = f²(4l²) μ

T = 129² x (4 x 0.32²)  x 1.5 x  10⁻³ x 100

T=1022.42 N

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3 years ago
How does the agricultural activity most likely affect the surface water of the area?
Radda [10]

Answer:

Agriculture has been the cause of significant modification of landscapes throughout the world. Tillage of land changes the infiltration and runoff characteristics of the land surface, which affects recharge to ground water, delivery of water and sediment to surface-water bodies, and evapotranspiration.

Explanation:

7 0
3 years ago
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For a charged hollow metal sphere with total charge Q and radius R centered on the origin: (Determine whether each of the follow
Sloan [31]

Answer:

1. The field inside the shell is 0; TRUE

2. The field for r>R will be the same as a field for the point charge Q, at the origin: TRUE

3. only positive charges can be on the outside surface: FALSE (Negative can too!!!)

4. The field on the outside is perpendicular to the surface: TRUE

Explanation:

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3 years ago
What is the average total energy density in electromagnetic radiation that has an intensity of 475 W/m^2?
Andreas93 [3]

Answer:

1.6 x 10⁻⁶ J/m³

Explanation:

I = Intensity of electromagnetic radiation = 475 Wm⁻²

U = average total energy density of electromagnetic radiation

c = speed of electromagnetic radiation = 3 x 10⁸ m/s

Intensity of electromagnetic radiation is given as

I = Uc

Inserting the values

475 = U (3\times 10^{8})

U = 1.6 x 10⁻⁶ J/m³

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In the Olympic shot-put event, an athlete throws the shot with an initial speed of 12.0 m/s at a 40.0 ∘ angle from the horizonta
Gre4nikov [31]

Answer:

Explanation:

given,

initial speed of the shot = 12.0 m/s

angle = 40°

height at which shot leaves her hand = 1.80 m

v_x = 12 cos 40° = 9.19 m/s

v_y = 12 sin 40° = 7.71 m/s

time to reach maximum height =

     = \dfrac{v_y}{g}

     = \dfrac{7.71}{9.8}

     = 0.787 s

h = v_y t + \dfrac{1}{2}gt^2

h = 7.71 × 0.787 - 0.5 × 9.81 × 0.787²

h = 3.03 m

the maximum height attain = 3.03 + 1.8 = 4.83 m

now free fall from the maximum height

h =\dfrac{1}{2}gt^2

4.83 = \dfrac{1}{2}\times 9.8 \times t^2

t = 0.9928 s

total time = 0.9928 + 0.787 = 1.7798 s

range =

d = vₓ t

d = 16.36 m

8 0
3 years ago
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