Answer:
B = 0.546 T, F = 2.59 10⁻¹² N
Explanation:
The magnetic force is
F = q v x B
We can calculate the magnitude of the force and find the direction by the right hand rule
F = q v B sin θ
Let's use Newton's second law
F = m a
Acceleration is centripetal
a = v² / r
We substitute
q v B sin θ = m v² / r
The angle between the field and the radius of the circle is 90º so sin 90 = 1
q B = m v / r
B = m v / q r
Let's calculate ’
B = 1.67 10⁻²⁷ 2.97 10⁷ / (1.60 10⁻¹⁹ 0.568)
B = 0.546 T
The foce is
F = q v B
F = 1.60 10⁻¹⁹ 2.97 10⁷ 0.546
F = 2.59 10⁻¹² N
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Its C because the circuit is connected with battery and light bulb.
Answer:
(a). 2.8 minutes.
(b). 0.4732
Explanation:
Without mincing words, let's dive straight into the solution to the question.
So, for the part (a), the expected arrival time can be calculated as given below.
The distribution falls between the ranges of 0(lower boundary) to 5.5minutes(upper boundary).
Therefore, the expected time = (0 + 5.5)÷ 2 = 2.75 minutes = 2.8 minutes(to 2 decimal places).
(b). The probability that an elevator arrives in less than 2.6 minutes can be calculated as given below;
Recall: We have that the upper boundary = 0 and the lower boundary = 5.5 minutes for the distribution. Also, the upper limit is equal to 2.6 minutes and the lower limits = 0 minutes.
Therefore, 1/ (5.5 - 0) = 1/5.5 = 0.182.
Therefore, the probability that an elevator arrives in less than 2.6 minutes = 0.182 ( 2.6 - 0).
The probability that an elevator arrives in less than 2.6 minutes = ( 0.182 × 2.6).
The probability that an elevator arrives in less than 2.6 minutes = 0.4732.
True. The mass of an electron is about 1/2000 amu whereas the mass of a proton is 1 amu.
