Answer:
Explanation:
This problem is related to the Rayleigh Criterion, which provides the following formula to find the acuity or limit of resolution of an optic system with circular aperture (the eye in this case):
Where:
is the angle of resolution (related to the acuity)
is the wavelength of the light
is the diameter of the pupil
Solving:
Answer:
Time = 2758.62 seconds
Explanation:
Given the following data;
Speed = 290 m/s
Distance = 800 km to meters = 800 * 1000 = 800000
To find the time;
Time = distance/speed
Time = 800000/290
Time = 2758.62 seconds
Therefore, it will take the pilot 2758.62 seconds to reach the airport.
Answer:
L = 44,096 m
Explanation:
The speed of the sound wave is constant therefore we can use the relations of uniform kinematics
v = x / t
the speed of the wave in the bar is
v = 15 v or
v = 15 343
v = 5145 m / s
The sound at the bar goes the distance
L = v t
Sound in the air travels the same distance
L = v_air (t + 0.12)
as the two recognize the same dissonance,
v t = v_air (t +0.12)
t (v- v_air) = 0.12 v_air
t = 0.12 v_air / (v -v_air)
l
et's calculate
t = 0.12 343 / (5145 - 343)
t = 8.57 10-3 s
The length of the bar is
L = 5145 8.57 10-3
L = 44,096 m
<span>The equation for momentum is p = mv, where m is the mass of the object and v is its velocity. Through conservation of momentum, we know that the momentum of the rifle must be of the same magnitude and opposite direction to that of the bullet. Thus we can form two expressions for the respective momenta, set them equal, and solve for the recoil speed of the rifle.
718*0.0159 = vr*5.05 where vr is the rifle recoil speed.
Solving for vr = 718*0.0159/5.05 = 2.26 meters/second.</span>