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yan [13]
3 years ago
5

Point masses m1 m2 are placed at opposite ends

Physics
1 answer:
tiny-mole [99]3 years ago
7 0

(a) x = \frac{m_2L}{m_1+m_2}

<u>Explanation:</u>

Given:

Moment of Inertia of m₁ about the axis, I₁ = m₁x²

Moment of Inertia of m₂ about the axis. I₂ = m₂ (L - x)²

Kinetic energy is rotational.

Total kinetic energy is E = \frac{1}{2} I_1w_0^2 + \frac{1}{2}I_2w_0^2 = \frac{1}{2} w_0^2(m_1x^2 + m_2(L-x)^2)

Work done is change in kinetic energy.

To minimize E, differentiate wrt x and equate to zero.

m_1x - m_2(L-x) = 0\\\\x = \frac{m_2L}{m_1+m_2}

Alternatively, work done is minimum when the axis passes through the center of mass.

Center of mass is at \frac{m_2L}{m_1 + m_2}

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Hello, please anybody help if you can!!
Vinil7 [7]
This is called "projectile motion".  The projectile can be a baseball,
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the swimmer is the projectile.

In projectile motion, the projectile is moving part horizontally and part
vertically at the same time.  The thing to remember about this kind of
motion is:  The horizontal motion doesn't change, but the vertical motion
changes because of gravity ... just like an apple that fell from a tree.

The swimmer runs straight horizontally off the diving board.  His horizontal speed is 3.62 m/s.  He hits the water  1.68 m from the end of the board.  How long did it take him to go that far ?

       Time  =  (distance) / (speed)

                 =  (1.68 m) / (3.62 m/s)

                 =  (1.68 / 3.62)  seconds

                 =          0.464 second .

(a).
How high above the water was the diving board ?
Well, the swimmer was falling for 0.464 second .
The height is whatever it takes 0.464 second to fall.

           Height  = (1/2) x (acceleration of gravity) x (time)²

                        = (1/2) x      (9.8 m/s²)                  x (0.464 sec)²

                        =        (4.9 m/s²)                x             (0.2153 sec²)

                        =              (4.9  x  0.2153)     meters

                        =                    1.055  meters .  

(b). 
If the swimmer runs off the board slower, his horizontal speed is
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when he hits the water.  But his horizontal speed has no effect
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6 0
3 years ago
If two metal balls each have a charge of -10^-6 C and the repulsive force between them is 1 N, how far apart are they? (Coulomb'
Vitek1552 [10]

Answer:

The distance between the charges is 9.5 cm

(c) is correct option

Explanation:

Given that,

Charge q= 10^{-6}\ C

Force F = 1 N

We need to calculate the distance between the charges

Using Coulomb's formula

F = \dfrac{kq_{1}q_{2}}{r^2}

Where, q = charge

r = distance

F = force

Put the value into the formula

1=\dfrac{9.0\times10^{9}\times(-10^{-6})^2}{r^2}

r=\sqrt{9\times10^{9}\times(-10^{-6})^2}

r=0.095\ m

r= 9.5\ cm

Hence, The distance between the charges is 9.5 cm

4 0
3 years ago
An atom of element A has 39 protons. What would the element’s atomic number be?
Maksim231197 [3]

39

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7 0
4 years ago
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ElenaW [278]

Answer:

120

Explanation:

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8 0
4 years ago
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horsena [70]

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Dew can be formed on any object when the temperature of the object drop. When this happen, the object will be cool which will eventually cool the surrounding air around the object.

Dew drops is as a result of condensation in the air. When the cool air causes the air vapor to convert to liquid. The dew will form when the temperature of the object balances with the dew point in the surrounding environment.

In some early mornings , dew drops can be found on grass or a car parked outside, but not on other materials such as the sidewalk because  the night -time temperature on grass and the car went below the dew point, but  the temperature of the concrete did not drop enough to reach the dew point  level

Therefore the correct option is therefore A

Learn more here : brainly.com/question/13834972

3 0
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