The power of the engine is 320 W.
<u>Explanation:</u>
Power may be defined as the rate of doing work (or) work done per unit time. One unit of energy is used to do the one unit of work.
Power = Work done / Time taken
Given, Force = 80 N, height = 5 m , final velocity = 4 m/s
To calculate the power, we must know the time taken.
To find the time, use the distance and speed formula which is given by
Time = Distance / speed
Here distance = 5 m and speed = 4 m/s
Time = 5 / 4 = 1.25 s.
Now, Power = work done / time
= (F * d) / t = (80 * 5) / 1.25
Power = 320 W.
The standard unit of power is watt (W) which is joule per second.
Wave D has the same wavelength as wave A, but the amplitude is lower. The answer is Wave D.
Answer:


Explanation:
the maximum speed is reached when the drag force and the weight are at equilibrium, therefore:




To calculate the velocity after 100 meters, we can no longer assume equilibrium, therefore:



(1)
consider the next equation of motion:

If assuming initial velocity=0:
(2)
joining (1) and (2):




(3)





To plot velocity as a function of distance, just plot equation (3).
To plot velocity as a function of time, you have to consider the next equation of motion:

as stated before, the initial velocity is 0:
(4)
joining (1) and (4) and reducing you will get:

solving for v:

Plots:
V^2 =U^2 +2AS
V^2 = 25 ^2 + 2x9.5x10
V^2 = 625 + 1900 = 2525
V = 50.25