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QveST [7]
3 years ago
12

A point particle of mass m1 = 2.00 kg is at the origin and a second point particle of mass m2 = 6.00 kg is on the x axis at x =

8.0 m. Find the gravitational field at the following locations.a. x = 2.0m b. x = 12.0 m c. Find the point on the x axis for which g = 0.
Physics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Answer:

Ok, the gravitational field in the x-axis can be written as:

g(x) = G*∑mₙ/(xₙ - x)

where the field points in the positive x-axis

where mₙ is the mass of the n-th particle, and xₙ is the position of the n-th particle, then, in our case we have:

g(x) = G*(- 2kg/x + 6kg(8m -x))

then; g(2)  = G*( -2kg/2m + 6kg/(8m- 2m)) = G*( -1kg/m + 1kg/m) = 0

g(12) = G*( -(2/12)kg/m  +6/(8 - 12)kg/m) = G* (-2/12 kg/m - 6/4kg/m) = -G*(20/12)kg/m

and we already find that the point where g(x) = 0 is 2

this is the x such:

G*(- 2kg/x + 6kg(8m -x)) = 0

then, the thing inside the parentheses must be zero, now we have:

2kg/x = 6kg(8m -x)

then:

x/2kg = (8/6) m/kg - x/(6kg)

x (1/(2kg) + 1/(6kg)) = (8/6)m/kg

x*(4/(6kg)) = (8/6)m/kg

x = (8/6)*(6/4)m = 2m

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What converts organic remains into fossil fuels? 1.chemical reaction 2water 3.heat and pressure
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Explanation:

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A point charge q1 is held stationary at the origin. A second charge q2 is placed at point a, and the electric potential energy o
likoan [24]

Answer:

U_{b}=+7.3*10^{-8}J

Explanation:

Given data

Electric potential at point a is Ua=5.4×10⁻⁸J

q₂ moves to point b where a negative work done on it  W_{a-b}=-1.9*10^{-8}J

Required

Electric potential energy Ub

Solution

When a particle moves from a point where the potential is Ua to a point where it is Ub the change in potential energy is equal to work done where the force exerted on the charge is conservative and work done is given by:

W_{a-b}=U_{a}-U_{b}\\U_{b}=U_{a}-W_{a-b}

Now  substitute the given values

So

U_{b}=5.4*10^{-8}J-(-1.9*10^{-8}J)\\U_{b}=+7.3*10^{-8}J

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3 years ago
Contrast the behavior of a water wave that travel by a stone barrier to a sound wave that travels through a door
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Explanation:

here the file has everything

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2 years ago
A 60-W light bulb radiates electromagnetic waves uniformly in all directions. At a distance of 1.0 mm from the bulb, the light i
slega [8]

Answer:

The appropriate solution is:

(a) \frac{1}{4}(I_o)

(b) \frac{1}{4} (u_o)

(c) \frac{1}{2}B_o

Explanation:

According to the question, the value is:

Power of bulb,

= 60 W

Distance,

= 1.0 mm

Now,

(a)

⇒  \frac{I}{I_o} =\frac{r_o_2}{r_2}

On applying cross-multiplication, we get

⇒  I=I_o\times \frac{1_2}{2^2}

⇒     =I_o\times \frac{1}{4}

⇒     =\frac{1}{4} (I_o)

(b)

As we know,

⇒ \frac{u}{u_o} =\frac{I}{I_o}

By putting the values, we get

⇒ u=\frac{1}{4}(u_o)

(c)

⇒ \frac{B^2}{B_o^2} =\frac{u}{u_o}

         =\frac{I}{I_o}

⇒ B=B_o\times \sqrt{\frac{1}{4} }

⇒     =\frac{1}{2}(B_o)

4 0
3 years ago
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