Every action produces an equal and opposite reaction. When a rocket shoots fuel out one end, this propels the rocket forward
Answer: 20.765 m/s
Explanation:
This problem can be solved by the conservation of energy principle, this means the initial energy
must be equal to the final energy
:
(1)
Where each energy is the sum of kinetic energy
and potential energy
:
(2)
Where:
Being
your mass and
your initial velocity, since the roller coaster sterted from rest.

Being
the acceleration due gravity and
your initial height
Being
your final velocity

Being
your final height
Rewritting (2):
(3)
(4)
Isolating
:
(5)
(6)
Finally:
This is your spedd when you arrive at 3 m height
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>
Answer:
The deceleration of the dragster upon releasing the parachute such that the wheels at B are on the verge of leaving the ground is 16.33 m/s²
Explanation:
The additional information to the question is embedded in the diagram attached below:
The height between the dragster and ground is considered to be 0.35 m since is not given ; thus in addition win 0.75 m between the dragster and the parachute; we have: (0.75 + 0.35) m = 1.1 m
Balancing the equilibrium about point A;
F(1.1) - mg (1.25) = 
- 1200(9.8)(1.25) = 1200a(0.35)
- 14700 = 420 a ------- equation (1)
--------- equation (2)
Replacing equation 2 into equation 1 ; we have :

1320 a - 14700 = 420 a
1320 a - 420 a =14700
900 a = 14700
a = 14700/900
a = 16.33 m/s²
The deceleration of the dragster upon releasing the parachute such that the wheels at B are on the verge of leaving the ground is 16.33 m/s²
Answer:
a) q = 4.47 10⁻⁵ C
b) ΔV = 4.47 10⁴ V
Explanation:
A Leyden bottle works as a condenser that accumulates electrical charge, so we can use the formula of the energy stored in a capacitor
U = Q² / 2C
Q = √ (2UC)
let's reduce the magnitudes to the SI system
c = 1 nF = 1 10⁻⁹ F
let's calculate
q = √ (2 1 10⁻⁹-9)
q = 0.447 10⁻⁴ C
q = 4.47 10⁻⁵ C
b) for the potential difference we use
C = Q / ΔV
ΔV = Q / C
ΔV = 4.47 10⁻⁵ / 1 10⁻⁹
ΔV = 4.47 10⁴ V