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vesna_86 [32]
3 years ago
8

A crate is dragged 4.0m along a rough floor with a constant velocity by a worker applying a force of 400N to a rope at an angle

of 30∘ to the horizontal.
Physics
1 answer:
andrew11 [14]3 years ago
5 0

OK.  We've got that much. The worker does 1,385.6 joules of work
on the crate.  What is your question ?



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A beam of alpha particles ( q = +2e, mass = 6.64 x 10-27 kg) is accelerated from rest through a potential difference of 1.8 kV.
Mrrafil [7]

Answer:

The magnetic field required required for the beam not to be deflected  is B = 0.0036T

Explanation:

From the question we are told that

    The charge on the particle is q = +2e

    The mass of the particle is  m = 6.64 *10^{-27} kg

    The potential difference is V_a  = 1.8 kV = 1.8 *10^{3} V

    The potential difference between the two parallel plate is  V_b = 120 V

    The separation between the plate is  d = 8 mm =  \frac{8}{1000} =  8*10^{-3}m

   

The Kinetic energy experienced by the beam before entering the region of the parallel plate is equivalent to the potential energy of the beam  after the region having a potential difference of 1.8kV

               KE_b  =  PE_b

Generelly

              KE_b = \frac{1}{2} m v^2

And      PE_b = q V_a

 Equating this two formulas

              \frac{1}{2} mv^2 = q V_a

making v the subject

           v = \sqrt{\frac{q V_a}{2 m} }

Substituting value  

           v = \sqrt{\frac{ 2* 1.602 *10^{-19}  * 1.8 *10^{3}}{2 * 6.64 *10^{-27}} }

           v = 41.65*10^4 m/s

Generally the electric field between the plates is mathematically represented as

                 E = \frac{V_b}{d}  

Substituting value  

                 E = \frac{120}{8*10^{-3}}              

                E = 15 *10^3 NC^{-1}

the magnetic field  is mathematically evaluate    

                     B = \frac{E}{v}

                   B = \frac{15 *10^{3}}{41.65 *10^4}

                    B = 0.0036T

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