charge needed= 169412 C
Explanation:
energy stored in the battery= 16 KWh= 16 (1000 W)(3600 s)= 5.76 x 10⁷ J
Energy stored is given by U= q V
q= charge
V= voltage= 340 V
so 5.76 x 10⁷ = q (340)
q= 169412 C
Explanation:
It is given that,
Electric field, 
We need to find the change in the electric potential energy of the proton-field system when the proton travels to x = 2.5 m
From the conservation of energy, the loss in potential energy is equal to the gain in kinetic energy and kinetic energy is is equal to the work done.




So, the change in electric potential energy of the proton field system is
. Hence, this is the required solution.
When frequency increases more wave crests pass a fixed point each second. That means the wavelength shortens. So, as frequency increases, wavelength decreases. The opposite is also true—as frequency decreases, wavelength increases.
Answer:
1. v = 30 m/s
2. v = 5 m/s
3. f = 40 Hz
4. f = 400 Hz
5. f = 300 Hz
6. λ = 0.772 m
7. λ = 0.386 m
8. λ = 0.625 m
9. v = 100 m/s
10. v = 50 m/s
Explanation:
The relationship between frequency, wavelength, and speed of a wave is given by the following formula:

where,
v = speed of wave
f = frequency of wave
λ = wavelength
1.
f = 100 Hz
λ = 0.3 m
Therefore,
v = (100 Hz)(0.3 m)
<u>v = 30 m/s</u>
<u></u>
2.
f = 50 Hz
λ = 0.1 m
v = (50 Hz)(0.1 m)
<u>v = 5 m/s</u>
<u></u>
3.
v = 20 m/s
λ = 0.5 m

<u>f = 40 Hz</u>
<u></u>
4.
v = 80 m/s
λ = 0.2 m

<u>f = 400 Hz</u>
<u></u>
5.
v = 120 m/s
λ = 0.4 m

<u>f = 300 Hz</u>
<u></u>
6.
v = 340 m/s
f = 440 Hz

<u>λ = 0.772 m</u>
<u></u>
7.
v = 340 m/s
f = 880 Hz

<u>λ = 0.386 m</u>
<u></u>
<u></u>
8.
v = 250 m/s
f = 400 Hz

<u>λ = 0.625 m</u>
<u></u>
9.
f = 50 Hz
λ = 2 m
v = (50 Hz)(2 m)
<u>v = 100 m/s</u>
<u></u>
10.
f = 100 Hz
λ = 0.5 m
v = (100 Hz)(0.5 m)
<u>v = 50 m/s</u>