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Nadya [2.5K]
3 years ago
9

Two children want to balance horizontally on a seesaw. The first child is sitting one meter to the left of the pivot point locat

ed at the center of mass of the seesaw. The second child has one-half the mass of the first child. Where should the second child sit to balance the seesaw? Two children want to balance horizontally on a seesaw. The first child is sitting one meter to the left of the pivot point located at the center of mass of the seesaw. The second child has one-half the mass of the first child. Where should the second child sit to balance the seesaw? 2m to the right of the pivot 0.5m to the right of the pivot 4m to the right of the pivot 1m to the right of the pivot
Physics
1 answer:
Maurinko [17]3 years ago
4 0

Answer:2 m right

Explanation:

Given

First child is sitting  1 m left from Pivot point

Mass of second child is half of first

Let mass of first child be  m

Second child \frac{m}{2}

In order to balance see saw torque must be zero about pivot

m\times 1=\frac{m}{2}\times x

x=2 m right from pivot point

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Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except for light of a single wavelengt
s2008m [1.1K]

Answer:

λ = 6.61 x 10⁻⁷ m = 661 nm

Explanation:

From the Young's Double Slit experiment, the the spacing between adjacent bright or dark fringes is given by the following formula:

Δx = λL/d

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L = Distance between slits and screen = 2.12 m

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λ = wavelength of light = ?

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2.86 x 10⁻³ m = λ(2.12 m)/(0.49 x 10⁻³ m)

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4 0
2 years ago
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numericall
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Answer:

t = 025 s

Explanation:

We know

weight, W =  4 pounds

spring constant, k = 2 lb/ft

Positive damping, β = 1

Therefore mass,  m =  W / g

                             m = 4 / 32

                                  = 1 / 8 slug

From Newtons 2nd law

\frac{d^{2}x}{dt^{2}}=-kx-\beta .\frac{dx}{dt}

where x(t) is the displacement from the mean or equilibrium position. The equation can be written as

\frac{d^{2}x}{dt^{2}}+\frac{\beta }{m}.\frac{dx}{dt}+\frac{k}{m}x=0

Substituting the values, the DE becomes

\frac{d^{2}x}{dt^{2}}+8\frac{dx}{dt}+16x=0

Now the equation is

m^{2}+8m+16=0

and on solving the roots are

m_{1} = m_{2} = -4

Therefore the general solution is x(t)=e^{-4t}\left ( c_{1}+c_{2}t \right )

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Now we can find the equation of motion becomes,

x(t)=e^{-4t}\left ( -1+4t \right )

Therefore, the mass passes through the equilibrium when

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8 0
2 years ago
Show your work.. to
stiks02 [169]
SOLUTION:

Question 4 -

- 2x + 5 = - 13 + x

- 2x - x = - 13 - 5

- 3x = - 18

x = - 18 / - 3

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Question 6 -

2x + 7 = - 2 - x

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x = - 9 / 3

x = - 3

Question 8 -

2x + 12 = - 6 - x

2x + x = - 6 - 12

3x = - 18

x = - 18 / 3

x = - 6

Hope this helps! :)
Have a lovely day! <3
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