Answer:
Explanation:
We shall express each displacement vectorially , i for each unit displacement towards east , j for northward displacement and k for vertical displacement .
14 m due west = - 14 i
22.0 m upward in the elevator = 22 k
12 m north = 12 j
6.00 m east = 6 i
Total displacement = - 14 i + 22 k + 12 j + 6 i
D = - 8 i + 12 j + 22 k
magnitude = √ ( 8² + 12² + 22² )
= √ ( 64 + 144 + 484 )
= √ 692
= 26.3 m
Net displacement from starting point = 26.3 m .
Answer:
The magnitude of the electric field be 171.76 N/C so that the electron misses the plate.
Explanation:
As data is incomplete here, so by seeing the complete question from the search the data is
vx_0=1.1 x 10^6
ax=0 As acceleration is zero in the horizontal axis so
Equation of motion in horizontal direction is given as
![s_x=v_x_0 t](https://tex.z-dn.net/?f=s_x%3Dv_x_0%20t)
![t=\frac{s_x}{v_x}\\t=\frac{2 \times 10^{-2}}{1.1 \times 6}\\t=1.82 \times 10^{-8} s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bs_x%7D%7Bv_x%7D%5C%5Ct%3D%5Cfrac%7B2%20%5Ctimes%2010%5E%7B-2%7D%7D%7B1.1%20%5Ctimes%206%7D%5C%5Ct%3D1.82%20%5Ctimes%2010%5E%7B-8%7D%20s)
Now for the vertical distance
vy_o=0
than the equation of motion becomes
![s_y=v_y_0 t+\frac{1}{2} at^2\\s_y=\frac{1}{2} at^2\\0.5 \times 10^{-2}=\frac{1}{2} a(1.82 \times 10^{-8})^2\\a=3.02 \times 10^{13} m/s^2](https://tex.z-dn.net/?f=s_y%3Dv_y_0%20t%2B%5Cfrac%7B1%7D%7B2%7D%20at%5E2%5C%5Cs_y%3D%5Cfrac%7B1%7D%7B2%7D%20at%5E2%5C%5C0.5%20%5Ctimes%2010%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B2%7D%20a%281.82%20%5Ctimes%2010%5E%7B-8%7D%29%5E2%5C%5Ca%3D3.02%20%5Ctimes%2010%5E%7B13%7D%20m%2Fs%5E2)
Now using this acceleration the value of electric field is calculated as
![E=\frac{F}{q}\\E=\frac{ma}{q}\\E=\frac{m_ea}{q_e}\\](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BF%7D%7Bq%7D%5C%5CE%3D%5Cfrac%7Bma%7D%7Bq%7D%5C%5CE%3D%5Cfrac%7Bm_ea%7D%7Bq_e%7D%5C%5C)
Here a is calculated above, m is the mass of electron while q is the charge of electron, substituting values in the equation
![E=\frac{9.1\times 10^{-31} \times 3.02 \times 10^{13} }{1.6 \times 10^{-19}}\\E=171.76 N/C](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B9.1%5Ctimes%2010%5E%7B-31%7D%20%5Ctimes%203.02%20%5Ctimes%2010%5E%7B13%7D%20%7D%7B1.6%20%5Ctimes%2010%5E%7B-19%7D%7D%5C%5CE%3D171.76%20N%2FC)
So the magnitude of the electric field be 171.76 N/C so that the electron misses the plate.
Answer:
The initial speed of the pelican is 8.81 m/s.
Explanation:
Given;
height of the pelican, h = 5.0 m
horizontal distance, X = 8.9 m
The time of flight is given by;
![t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2*5}{9.81} } \\\\t = 1.01 \ s](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cfrac%7B2h%7D%7Bg%7D%20%7D%20%5C%5C%5C%5Ct%20%3D%20%5Csqrt%7B%5Cfrac%7B2%2A5%7D%7B9.81%7D%20%7D%20%5C%5C%5C%5Ct%20%3D%201.01%20%5C%20s)
The initial horizontal speed of the pelican is given by;
X = vₓt
vₓ = X / t
vₓ = 8.9 / 1.01
vₓ = 8.81 m/s
Therefore, the initial speed of the pelican is 8.81 m/s.
Answer:
Thermal/Heat energy, kinetic energy, light energy, & Electromagnetic energy