This depends on the direction of the velocity vector to the magnetic field vector. The force is F=q(VxB) ("x" is the cross product.) The max force is when V and B are perpendicular. Then F=qVB = (1.602e-19)(2000)(300) = 9.612e-14 N
Energy Conservation Theory,
![(k+v)_i=(k+v)_f \quad \text { (No air resistone)}\\](https://tex.z-dn.net/?f=%28k%2Bv%29_i%3D%28k%2Bv%29_f%20%5Cquad%20%5Ctext%20%7B%20%28No%20air%20resistone%29%7D%5C%5C)
![\frac{1}{2} m v_i^2-\frac{G m M_\epsilon}{R_\epsilon}=0-\frac{G m M_\epsilon}{R_\epsilon+h}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20m%20v_i%5E2-%5Cfrac%7BG%20m%20M_%5Cepsilon%7D%7BR_%5Cepsilon%7D%3D0-%5Cfrac%7BG%20m%20M_%5Cepsilon%7D%7BR_%5Cepsilon%2Bh%7D)
![\frac{1}{2} m v_i^2-\frac{G m M_\epsilon}{R_\epsilon}=0-\frac{G m M_\epsilon}{R_\epsilon+h}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20m%20v_i%5E2-%5Cfrac%7BG%20m%20M_%5Cepsilon%7D%7BR_%5Cepsilon%7D%3D0-%5Cfrac%7BG%20m%20M_%5Cepsilon%7D%7BR_%5Cepsilon%2Bh%7D)
![v_{e x^2}{ }^2-v_i^2=\frac{v_{e^2 R_t} R_t}{R_t t h}\\&\frac{1}{v_{B C^2-v_1^2}^2}=\frac{R_E+h}{v_{e^2 R_E} R_E}\\\\\\h=\frac{R_E V_1^2}{v_{\text {esc }}^2-v_1^{\beta^2}}](https://tex.z-dn.net/?f=v_%7Be%20x%5E2%7D%7B%20%7D%5E2-v_i%5E2%3D%5Cfrac%7Bv_%7Be%5E2%20R_t%7D%20R_t%7D%7BR_t%20t%20h%7D%5C%5C%26%5Cfrac%7B1%7D%7Bv_%7BB%20C%5E2-v_1%5E2%7D%5E2%7D%3D%5Cfrac%7BR_E%2Bh%7D%7Bv_%7Be%5E2%20R_E%7D%20R_E%7D%5C%5C%5C%5C%5C%5Ch%3D%5Cfrac%7BR_E%20V_1%5E2%7D%7Bv_%7B%5Ctext%20%7Besc%20%7D%7D%5E2-v_1%5E%7B%5Cbeta%5E2%7D%7D)
<h3>What is law of energy conservation?</h3>
The principle of energy conservation states that energy is neither created nor destroyed. It may change from one sort to another. Just like the mass conservation rule, the legitimacy of the preservation of energy depends on experimental perceptions; hence, it is an experimental law. The law of preservation of energy, too known as the primary law of thermodynamics
To learn more about Energy Conservation Theory, visit;
brainly.com/question/8004680
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I believe that the answer to the question provided above are the following;
x = 29.8410
y = 16.6794
z = -1.2642
Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.
Answer:
Both of them reach the lake at the same time.
Explanation:
We have equation of motion s = ut + 0.5at²
Vertical motion of James : -
Initial velocity, u = 0 m/s
Acceleration, a = g
Displacement, s = h
Substituting,
s = ut + 0.5 at²
h = 0 x t + 0.5 x g x t²
![t_{James}=\sqrt{\frac{2h}{g}}](https://tex.z-dn.net/?f=t_%7BJames%7D%3D%5Csqrt%7B%5Cfrac%7B2h%7D%7Bg%7D%7D)
Vertical motion of John : -
Initial velocity, u = 0 m/s
Acceleration, a = g
Displacement, s = h
Substituting,
s = ut + 0.5 at²
h = 0 x t + 0.5 x g x t²
![t_{John}=\sqrt{\frac{2h}{g}}](https://tex.z-dn.net/?f=t_%7BJohn%7D%3D%5Csqrt%7B%5Cfrac%7B2h%7D%7Bg%7D%7D)
So both times are same.
Both of them reach the lake at the same time.
Answer:
Spring constant, k = 5483.11 N/m
Explanation:
It is given that,
Mass of the organ, m = 2 kg
The natural period of oscillation is, T = 0.12 s
Let k is the spring constant for the spring in the scientist's model. The period of oscillation is given by :
![T=2\pi\sqrt{\dfrac{m}{k}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%5Csqrt%7B%5Cdfrac%7Bm%7D%7Bk%7D%7D)
![k=\dfrac{4\pi^2 m}{T^2}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B4%5Cpi%5E2%20m%7D%7BT%5E2%7D)
![k=\dfrac{4\pi^2 \times 2\ kg}{(0.12\ s)^2}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B4%5Cpi%5E2%20%5Ctimes%202%5C%20kg%7D%7B%280.12%5C%20s%29%5E2%7D)
k = 5483.11 N/m
So, the spring constant for the spring in the scientist's model is 5483.11 N/m.