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nlexa [21]
3 years ago
6

An electron is moving at a speed of 4.8 × 10 6 m/s at an angle of 30.0° with respect to a uniform magnetic field of 9.2 × 10 –4

T. What is the radius of the resulting helical path? ( me = 9.11 × 10 –31 kg, qe = 1.60 × 10 –19 C)
Physics
1 answer:
omeli [17]3 years ago
6 0

Answer:

r = 5.94 10⁻² m

Explanation:

The magnetic force is given by the ratio

        F =q v x B

The bold indicate vectors and the vector product determines that the force is perpendicular to the other two vectors, so the modulus of the velocity does not change, but its direction, therefore the acceleration in Newton's second law is centripetal

         F = m a

   

The magnitude of the force is

      F = q v B sin θ

The centripetal acceleration is

      a = v² / r

Let's replace

       q v B sin θ = m v² / r

       r = m v / (q B sin θ)

Let's calculate

      r = 9.11 10⁻³¹  4.8 10⁶ / (1.60 10⁻¹⁹  9.2 10⁻⁴ sin 30)

     r = 5.94 10⁻² m

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Explanation:

The equations of motion used in this question is v=u+at

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But,due to gravity,the object accelerates downward at a rate of 9.8ms^{-2}.

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A plate drops onto a smooth floor and shatters into three pieces of equal mass.Two of the pieces go off with equal speeds v at r
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