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e-lub [12.9K]
2 years ago
14

What is the distance of separation between objects of masses 5.6 x 10 5 kg and 8.8 x 10 6 kg if the force of gravity between the

m is 440 N
Physics
1 answer:
AlladinOne [14]2 years ago
7 0

Answer:

2.87m

Explanation:

Using the law of gravitation to solve this question

F = GMm/r²

G is the gravitational constant

M and m are the masses

r is the distance between the masses

Substitute the given values

G = 6.67×10^-11 m³/kgs²

M =8.8 x 10^6 kg

m = 5.6 x 10^5 kg

F =440N

400 = 6.67×10^-11×8.8 x 10^6 ×5.6 x 10^5/r²

400r² = 328.698×10

400r² = 3286.98

r² = 3286.98/400

r² = 8.21745

r = √8.21745

r = 2.87m

Hence the distance of separation is 2.87m

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A pencil is rolled off a table of height 0.92 m. If it has horizontal speed pf 1.4 m/s, how long does it take the pencil to reac
Alenkasestr [34]

The distance an object falls, from rest, in gravity is

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                        'T' is the number seconds it falls.

In this problem,

                         0.92 meter = (1/2) (9.8) (T²)

Divide each side by  4.9 :   0.92 / 4.9 = T²

Take the square root
of each side:                          √(0.92/4.9) = T

                                                  0.433 sec = T    

The horizontal speed doesn't make a bit of difference in
how long it takes to reach the floor.  BUT ... if you want to
know how far from the table the pencil lands, you can find
that with the horizontal speed.

The pencil is in the air for  0.433 second.
In that time, it travels
                                   (0.433s) x (1.4 m/s) = 0.606 meter

from the edge of the table.
 
3 0
2 years ago
It's possible to boil water by adding hot rocks to it, a technique that has been used in many societies over time. If you heat a
Flauer [41]

Answer:

6

Explanation:

m = Mass

c = Specific heat

\Delta T = Change in temperature

s denotes stone

Heat is given by

Q=mc\Delta T\\\Rightarrow Q=5\times 4180\times (100-10)\\\Rightarrow Q=1881000\ J

Heat for the stone

Q=m_sc_s\Delta T\\\Rightarrow 1881000=m_s800\times (500-100)\\\Rightarrow m_s=\dfrac{1881000}{800\times (500-100)}\\\Rightarrow m_s=5.878125\ kg

Number of stones is given by

n=\dfrac{5.878125}{1}\\\Rightarrow n\approx 6

The number of stones is 6

5 0
2 years ago
A heavy boy and a lightweight girl are balanced on a massless seesaw. If they both move forward so that they are one-half their
Yuki888 [10]

Answer:

The system is still balanced

Explanation:

If we suppose that the boy weights M and the girl m, and are balanced at distances L1 and L2 from the pivot point respectively, thy will be balanced if the resultant torque of all the farces from the pivot pint is cero:

(1)T=M*L1-m*L2=0

now they moved to distances (L1)/2 and (L2)/2, the resultant torque will be:

(2)T=M*(L1)/2-m*(L2)/2

1/2 can be taken out as a common factor:

(3)T=(M*L1-m*L2)*1/2

As the the inside of the parenthesis equals equation (1) that equals zero, hte whole equiation equals zero:

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6 0
2 years ago
A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420 nm.
zhuklara [117]

Answer: speed of light in solid = 1.88 * 10^8 m/s

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V = fλ

During refraction, the frequency of light is constant, thus we have that

V = kλ which implies that velocity is proportional to wavelength.

Hence, we have that

v1/ λ1 = v2/ λ2

Where v1 = velocity of light in air = 3 * 10^8 m/s

v2 = velocity of sound in solid

λ1 = wavelength of light in air = 670nm

λ2 = wavelength of light in solid = 420nm

By making v2 subject of formulae, we have that

v2 = v1 * λ2/ λ1

v2 = 3 * 10^8 * 420nm/ 670nm

v2 = 3 * 10^8 * 0.6268

v2 = 1.88 * 10 ^8 m/s

b)

During refraction the frequency of light wave is constant this is because light consist of photons which has energy. it energy needs to be constant and for energy (E=hf) to be constant, frequency would be constant too.

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2 years ago
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IgorLugansk [536]

Answer:

E. downward and constant

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Freefall is a special case of motion with constant acceleration because the acceleration due to gravity is always constant and downward. This is true even when an object is thrown upward or has zero velocity.

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3 0
2 years ago
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