Answer:
r = 0.664 m.
Explanation:
Let's write the equation of the magnetic force, the blacks syndicate vectors
F = q v x B
From this expression we see that the force is perpendicular to the velocity and the field, so it is a centripetal force, the modulus of the force is
F = q v B sinT
We write Newton's second law
F = m a
a = v² / r
q v B sinT = m v² / r
r = m v / (q B sinT)
Let's calculate
r = 9.1 10-31 2.9 107 / (1.6 10-19 1.7 10-3 sin8.4)
r = 26.4 10-24 / 0.3973 10-22
r = 0.664 m
This is the distance from where the electron penetrates
<em><u>The</u></em><em><u> </u></em><em><u>force</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>gravity</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>positive</u></em><em><u> </u></em><em><u>9</u></em><em><u>.</u></em><em><u>8m</u></em><em><u>/</u></em><em><u>s</u></em><em><u>^</u></em><em><u>2</u></em><em><u>.</u></em>
Answer:
114.86%
Explanation:
In both cases, there is a vertical force equal to the sprinter's weight:
Fy = mg
When running in a circle, there is an additional centripetal force:
Fx = mv²/r
The net force is found with Pythagorean theorem:
F² = Fx² + Fy²
F² = (mv²/r)² + (mg)²
F² = m² ((v²/r)² + g²)
F = m √((v²/r)² + g²)
Compared to just the vertical force:
F / Fy
m √((v²/r)² + g²) / mg
√((v²/r)² + g²) / g
Given v = 12 m/s, r = 26 m, and g = 9.8 m/s²:
√((12²/26)² + 9.8²) / 9.8
1.1486
The force is about 114.86% greater (round as needed).
The net charge of the electron will be there because there is no exponents there
Answer:
149,916J
Explanation:
Pneumonic device: Kevin is half-mad and very square
this translates to: KE=(1/2)mv^2 !!
KE=(1/2)(78)(62^2)
KE=(39)(3844)
KE=149,916 Joules
