Answers:(a) ![B_o = 0.3466](https://tex.z-dn.net/?f=B_o%20%20%3D%200.3466)
μT
(b) ![\lambda = 0.4488](https://tex.z-dn.net/?f=%5Clambda%20%3D%200.4488)
μm
(c) f =
Explanation:Given electric field(in y direction) equation:
![E_y = 104sin(1.40 * 10^7 x -\omega t)](https://tex.z-dn.net/?f=E_y%20%3D%20104sin%281.40%20%2A%2010%5E7%20x%20-%5Comega%20t%29)
(a) The amplitude of electric field is
![E_o = 104](https://tex.z-dn.net/?f=E_o%20%3D%20104)
. Hence
The amplitude of magnetic field oscillations is
![B_o = \frac{E_o}{c}](https://tex.z-dn.net/?f=B_o%20%3D%20%20%5Cfrac%7BE_o%7D%7Bc%7D%20)
Where c = speed of light
Therefore,
![B_o = \frac{104}{3*10^8} = 0.3466](https://tex.z-dn.net/?f=B_o%20%3D%20%20%5Cfrac%7B104%7D%7B3%2A10%5E8%7D%20%3D%200.3466)
μT (Where T is in seconds--signifies the oscillations)
(b) To find the wavelength use:
![\frac{2 \pi }{\lambda} = 1.40 * 10^7](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Cpi%20%7D%7B%5Clambda%7D%20%3D%201.40%20%2A%2010%5E7)
![\lambda = \frac{2 \pi}{1.40} * 10^{-7}](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%20%5Cfrac%7B2%20%5Cpi%7D%7B1.40%7D%20%2A%2010%5E%7B-7%7D)
![\lambda = 0.4488](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%200.4488)
μm
(c) Since c = fλ
=> f = c/λ
Now plug-in the values
f = (3*10^8)/(0.4488*10^-6)
f =
Answer:
14.6 m/s
Explanation:
Momentum is conserved in the north:
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
After the collision, they stick together, so v₁ = v₂ = v.
m₁ u₁ + m₂ u₂ = (m₁ + m₂) v₂
(980 kg) (0 m/s) + (1500 kg) u = (980 kg + 1500 kg) vᵧ
1500 u = 2480 vᵧ
Momentum is conserved in the east:
m₁ u₁ + m₂ u₂ = (m₁ + m₂) v₂
(980 kg) (22.3 m/s) + (1500 kg) (0 m/s) = (980 kg + 1500 kg) vₓ
21854 = 2480 vₓ
vₓ = 8.81 m/s
The angle of v is 45.0°, so vᵧ = vₓ.
1500 u = 2480 (8.81 m/s)
u = 14.6 m/s
the mass is 7 kilograms.
mass is constant and does not change in different environments (such as different gravitational fields) as it is "stuff". What changes is weight, or the force felt by gravity on the mass due to the equation: F=MA, were F is the weight of the object being recorded, M is the mass (constant in this case), and A is the acceleration (in this case gravity). A bowling ball would have the same mass on earth as on the moon, but its weight would be different due to the different acceleration due to gravity.