Answer:
The range of angles is from 17.50° to 31.76°
Explanation:
The diffraction grid equation is as follows:
Clearing for 
where is the angle, 
is the order, in this case 
, 
is the wavelength, and 
is defined as follows:
and since the resolution is 750 lines/mm wich is the same as 
will be:
wich is the distance between each line of the diffraction grating.
substituting the values for and :
And we need to find two angle values: one for when the wavelength is 400nm and one for when it is 700 nm. So we will get the angle range
and
The range of angles is from 17.50° to 31.76°
Answer:
3.33 minutes (3 minutes and 20 seconds)
Explanation:
Speed of the runner = s = 5 m/s
We need to calculate how will it take for runner to complete 1 km. We have the speed, the distance and we need to find the time. Before performing any calculations, we must convert the values to same units.
Speed is in m/s and distance is in kilometers. So we have to either convert speed to km/s or distance into meters. In this case, converting distance into meters would be a convenient option.
1 kilo meters = 1000 meters
The distance, speed and time are related by the equation:
Distance = Speed x Time
So,
Time = Distance/Speed
Using the values, we get:
t = 1000/5
t = 200 seconds
This means, the runner can complete 1 kilometers in 200 seconds. Since, there are 60 seconds in a minute, we can convert this time to minutes, by dividing it by 60. i.e.
Thus, it will take the runner 3.33 minutes (3 minutes and 20 seconds) to travel 1 km.
The answer is 13.5 because 27÷3.0=13.5
Answer: If the force stays the same, the acceleration would decrease
Answer:
2(maximum), -2(minimum), -2(maximum).
Explanation:
V(t)= 2πcos πt--------------------------------------------------------------------------------(1).
Therefore, there is a need to integrate v(t) to get S(t).
S(t)= 2×sinπt + C ------------------------------------------------------------------------------(2).
Applying the condition given, we have s(0)= 0.
S(0)= 2sin ×π(0) + C.
Which means that; 0+C= 0. That is; C=0.
S(t)= 2 sin πt.
The mass moves to its highest positions at time,t=half(1/2=.5) and time,t=2.5.
Take note that; sin(π/2) = sin(5π/2) = 1 .
Also, the mass moves to its lowest position at time,t=(3/2); also, sin(3π/2) = -1.
Therefore, we have that 2 maximum; -2 minimum and -2 maximum.
