Answer:
Explanation:
The speed of sound in the air increases 0.6 m / s for every 1 ° C increase in temperature. An approximate speed can be calculated using the following empirical formula:
Where:
A more exact equation, usually referred to as adiabatic velocity of sound, is given by the following formula:
Where:
Hence:
Now, the Mach number at which an aircraft is flying can be calculated by:
Where:
Therefore:
Answer: 2 cm
Explanation:
Given , for a converging lens
Focal length :
Height of object :
Object distabce from lens :
Using lens formula: , we get
, where v = image distance from the lens.
On solving aboive equation , we get
Formula of Magnification : , where h' is the height of image.
Put value of u, v and h in it , we get
Hence, the height of the image is 2 cm.
Answer:
a) The magnitude of the force is 968 N
b) For a constant speed of 30 m/s, the magnitude of the force is 1,037 N
Explanation:
<em>NOTE: The question b) will be changed in other to give a meaningful answer, because it is the same speed as the original (the gallons would be 1.9, as in the original).</em>
Information given:
d = 106 km = 106,000 m
v1 = 28 m/s
G = 1.9 gal
η = 0.3
Eff = 1.2 x 10^8 J/gal
a) We can express the energy used as the work done. This work has the following expression:
Then, we can derive the magnitude of the force as:
b) We will calculate the force for a speed of 30 m/s.
If the force is proportional to the speed, we have:
Answer:
69.68 N
Explanation:
Work done is equal to change in kinetic energy
W = ΔK = Kf - Ki =
W =
where m = mass of the sprinter
vf = final velocity
vi = initial velocity
W = workdone
kf = final kinetic energy
ki = initial kinetic energy
d = distance traveled
Ftotal = total force
vf = 8m/s
vi= 2m/s
d = 25m
m = 60kg
inserting parameters to get:
W = ΔK = Kf - Ki =
= 39.7
we know that the force the sprinter exerted F sprinter, the force of the headwind Fwind = 30N