Answer:
7.22×10¹⁰ J
Explanation:
From the question given above, the following data were obtained:
Velocity (v) = 7.6 Km/s
Mass (m) = 2500 kg
Energy (E) =?
Next, we shall convert 7.6 Km/s to m/s. This can be obtained as follow:
1 km/s = 10³ m/s
Therefore,
7.6 Km/s = 7.6 Km/s × 10³ m/s / 1 km/s
7.6 Km/s = 7.6×10³ m/s
Finally, we shall determine the energy required as follow:
Velocity (v) = 7.6×10³ m/s
Mass (m) = 2500 kg
Energy (E) =?
E = ½mv²
E = ½ × 2500 × (7.6×10³)²
E = 1250 × 57760000
E = 7.22×10¹⁰ J
Thus, 7.22×10¹⁰ J of energy is required.
Answer:
The gradient here represents Angela's Velocity.
Explanation:
A distance-time graph has distance on its y-axis and time on its x-axis. Therefore, the gradient of the distance-time graph is given by the following formula:
Since the rate of change of distance is called the velocity.
<u>Therefore, the gradient here represents Angela's Velocity.</u>
Answer:
Inductive reactance is 50.00 ohms
Explanation:
<u>Given the following data;</u>
Voltage = 120v
Frequency = 60Hz
Current = 2.4 A
To find the inductive reactance;
Inductive reactance, XL = V/I
Where;
- XL represents the inductive reactance.
- V represents the voltage.
- I represents the current.
Substituting into the equation, we have;
XL = 120/2.4
<em>XL = 50.00 ohms</em>
The term that describes the number of thoughs that pass a point in a given amount of time is FREQUENCY.
In wave theory, frequency refers to the number of wave that pass through a fixed point in a given amount of time. Frequency is usually measure in Hertz. The mathematical formula for finding frequency is:
F = Velocity of wave / wavelength of wave.
Answer:
t = 300.3 seconds
Explanation:
Given that,
The mass of a freight train, 
Force applied on the tracks, 
Initial speed, u = 0
Final speed, v = 80 km/h = 22.3 m/s
We need to find the time taken by it to increase the speed of the train from rest.
The force acting on it is given by :
F = ma
or
So, the required time is 300.3 seconds.
