What
is the maximum distance the train can travel if it accelerates from
rest until it reaches its cruising speed and then runs at that speed for
15 minutes?
d = vo*t + 0.5*a*(t**2) ..........................(vo= initial speed = 0; a= acceleration; t=time, d = distance)
Vf = vo + a*t (final speed, in this case it will be the cruising speed)
Since vo = 0 (starts from rest)
t = Vf/a
d = 0 + 0.5*a*((Vf/a)**2)
d = (0.5/a)*(Vf)**2
a = 24545 miles/h2 = 10ft/s2
d1 = (0.5/24545 miles/h2)*(120 mi/h)**2 = 0.293 miles
From cruising speed, distance traveled after 15 minutes (0.25h)
v = d/t ...................> d2 =v*t = <span>120 mi/h (0.25h)</span> = 30 miles
Maximum distance the train can travel,
D = d1 + d2 = 0.293 + 30 miles = 30.293 miles
Answer:
The colour of visible light depends on its wavelength. These wavelengths range from 700 nm at the red end of the spectrum to 400 nm at the violet end. Visible light waves are the only electromagnetic waves we can see. We see these waves as the colors of the rainbow.
Explanation:
Answer:
7.2 V
Explanation:
The three batteries are connected in series to the terminals of the phone: it means that they are connected along the same branch, so the current flowing through them is the same.
This also means that the potential difference across the phone will be equal to the sum of the voltages provided by each battery.
Here, the voltage provided by each battery is
V = 2.4 V
So, the overall voltage will be
V = 2.4 V + 2.4 V + 2.4 V = 7.2 V
The Atlantis spacecraft carried the first space lab.
Answer: Option 4
<u>Explanation:
</u>
The first space lab is named as ATLAS 1 which is the abbreviation of Atmospheric Laboratory for Applications and Science. It is a short space lab set up in space to observe the atmospheric changes and other scientific experiments in the outer atmosphere of Earth from space.
It contains hi-tech instruments and facilities. It was a part of Phase I of NASA’s mission to planet Earth. This helped in better understanding of Earth’s outer and inner atmosphere. So, the spacecraft used to carry the ATLAS 1 is named as Atlantis.
Answer:
F > W * sin(α)
Explanation:
The force needed for the box to start sliding up depends on the incline (α).
The external forces acting on the box would be the weight, the normal reaction and the lifting force that is applied to make it slide up.
These forces can be decomposed on their normal and tangential (to the slide plane) components.
The weight will be split into
Wn = W * cos(α) (in normal direction)
Wt = W * sin(α) (in tangential direction)
The normal reaction will be alligned with the normal axis, and will be equal to -Wn
N = -W* cos(α) (in normal direction)
To mke the box slide up, a force must be applied, that is opposite to the tangential component of the weight and at least a little larger
F > |-W * sin(α)| (in tangential direction)
