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12345 [234]
3 years ago
9

PLEASE HELP ASAP!! What do you think engineers could do to prevent sinkholes in Florida?

Physics
1 answer:
padilas [110]3 years ago
8 0
I think they can use more durable materials.
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Two 3 kg spherical masses are connected by a 20 m long thread of negligible mass that does not stretch. The masses are charged s
Yuri [45]

Answer:

The charge of each sphere is  q = - 1.84 *10^{-4}C

Explanation:

 The  free body diagram of this question is shown on the first uploaded image  

       From the question we are told that

            The mass of the two sphere is m = 3 \ kg

             The length of the connection is l  = 20\ m

              The angle between the suspended side is  \theta = 17 ^o

At Equilibrium the force acting at the horizontal is  = 0N and the net force acting at the vertical is zero

    This can be represented mathematically as

                 \sum F_y = 0N , \ \ and \ \  \sum F_x = 0N

For  \sum F_y = 0N

      T cos \theta = mg

=>     cos \theta  = \frac{mg}{T}

   For  \sum F_x = 0N

        T sin \theta  = F

=>   sin \theta = \frac{F}{T}

     Now  tan \theta  = \frac{sin \theta }{cos \theta }

                       = \frac{\frac{F}{T} }{\frac{mg}{T} }

                       = \frac{F}{mg}                    

Where F is the electrical force which is mathematically represented as

           F = \frac{kq^2}{r^2}

Therefore

           tan \theta = \frac{kq^2}{mgr^2}

 Where r is the distance between the two masses and from the diagram it is

    r = 2l sin \theta

So

      tan \theta = \frac{kq^2 }{(2l sin \theta )^2 * mg}

making q the subject of the formula  

               q = \sqrt{\frac{mg}{k} * tan \theta  (2l sin \theta )^2 }

Where k is  the Coulomb's constant with a value of   k = 9*10^{9} kg \ cdot m^3 s^{-4} A^{-2}

  Substituting values

           q = \sqrt{\frac{3 * 9.8 }{9*10^9} * tan (17) (20 sin 17)^2 }

               q = - 1.84 *10^{-4}C

The negative sign is because we are told from the question that they are negatively charged

                       

           

8 0
3 years ago
Read 2 more answers
In the diagram, the wavelength is shown by :
MAXImum [283]

Answer:

i think the anwer is C

Explanation:

6 0
4 years ago
Part A Magnetic field lines form closed loops Magnetic field lines form closed loops Around and through bar magnets. Through cur
alex41 [277]

Answer:

Magnetic field lines form closed loops around current carrying straight wires.

Explanation:

Magnetic field lines is known to form closed loop (which also serves as a bar magnet) around current carrying conductor in a magnetic field. This direction of the loop around the conductor either clockwise or anticlockwise will determine the direction of current in the conductor.

This directions can be determined using the Maxwell cockscrew or clenched fist rule.

According to clenched fist rule which states if the conductor is grasp with the right hand, the curled finger will point in the direction of the magnetic field and the thumb will point in the direction of the current.

Note that the magnetic field lines around the conductor also behaves like a bar magnet.

8 0
4 years ago
What two things keeps the planets, asteroids, comets and moons in orbit?
gregori [183]
Answer:

The sun's gravity pulls the planet toward the sun, which changes the straight line of direction into a curve. This keeps the planet moving in an orbit around the sun. Because of the sun's gravitational pull, all the planets in our solar system orbit around it.
5 0
3 years ago
Read 2 more answers
Having just enough weight to achieve all three states of buoyancy with only minor adjustments in the water is the definition of:
eduard

Answer:

Proper weighting

Explanation:

Proper weighing involves the condition of a scuba diver that is fully geared having a near empty tank and the BCD emptied with a held breadth is expected to float at eye level

The fundamental of adequate or good buoyancy of a scuba diver is to ensure proper weighting when diving, With proper weighting, there is more control for the diver when a safety stop is required. There is less need to carry excess weight that increases drag and gas consumption.  

6 0
3 years ago
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