Answer:
Option C - the angle of refraction is greater than the angle of incidence
Explanation:
Snell's law of refraction states that;
n1 sinθ1 = n2 sinθ2
Where;
n1 is refractive index of incidence medium
θ1 is angle of incidence
n2 is Refractive index of refraction medium
θ2 is angle of refraction
For This question, n1 = 1.5 and n2 = 1.33
Thus;
1.5 sinθ1 = 1.33 sinθ2
Rearranging, we have;
sinθ1/sinθ2 = 1.33/1.5
We know from trigonometry, that sin 0 = 0 and sin 90 = 1. So, as θ approaches 0°, the value of sinθ decreases while as it approaches 90°,the value of sinθ increases.
Thus, by inspection, we can say that the value of the denominator is higher than the numerator.
Thus, θ2 is greater than θ1
So, the angle of refraction is greater than the angle of incidence
Answer:
60 J
Explanation:
Given That
Coefficient of performance, CoP = 4.2
Quantity of heat of the refrigerator, Q = 250 J
Work done by the refrigerator, W = ?
First, it should be noted that the Coefficient of Performance can be said to be, the ratio of the Heat required to the Work done by the system. Mathematically written as,
CoP = Q / W
Since we are already given the values from our question, we can plug it in as it's a pretty straightforward question
4.2 = 250 / W, making W subject of formula, we have
W = 250 / 4.2
W = 60J
Thus, the Work done by the refrigerator is 60 J
<span> <span>We will need to work with the components of the velocity, in the x and the y direction. We will say up is positive so g is -9.81 m/s^2.
Given that the angle was 32 degrees:
Velocity up (in the y direction) is 55 m/s * sin 32 = 29.15 m/s
And
Velocity forward (in the x direction) is 55 m/s * cos 32 = 46.64 m/s
The acceleration of gravity, -9.81 m/s2 continuously decreases the velocity in the y direction. At the maximum height, the velocity will be zero. This should make sense, for as soon as the decreasing velocity becomes negative, the arrow will start to fall.
We have v = v(0) + at
And we set this to zero and solve for t:
0 = 29.15 + -9.81t
9.81t = 29.15
t = 2.97 seconds
To calculate height at this point, we use the equation that calculates position based on time, acceleration, and initial velocity (we could use an alternate too, an equation derived from the one we are now using and v = v(0) + at.
x = x(0) + v(0)t + (1/2)at^2
x = 0 + 29.15 * 2.97 + 0.5 9.81 (2.97)^2
x = 43.30 m
For a projectile, the plot of distance traveled in the upward direction is a parabola, and it takes the same amount of time to come down as it did to go up.
We can double 2.97 to get the time of impact on the target at 2(2.97) = 5.94 seconds
(Alternately, if you like, you can solve
0 = 0 + 29.15t + 0.5 9.81 t^2
And find that the two roots are 0 and 5.94).
http://www.math.com/students/calculators... will do the quadratic for you.
Given a horizontal velocity of 46.64 m/s, we can calculate
46.64 m/s (5.94 s) = 277 m for the distance of the target.</span></span>
Answer:
Centripetal force = 11789 N
Explanation:
Recall that the centripetal acceleration is defined as the square of the tangential velocity divided by the radius of the circular rotation. Then for our case, the centripetal acceleration is:
ac = (11.8 m/s)^2 / 15 m = 9.28266 m/s^2
then, such acceleration on a mass of 1270 kg will render a centripetal force of:
Fc = m * ac = 1270 * 9.28266 N = 11789 N
Earth, the planet:
1. Collision of Earth with Mars-sized planet.
2. Formation of the Moon and its gravitational effects.
3. Cooling and solidification of Earth's molten outer surface.
4. Period of intense asteroid bombardment.
5. Build-up of liquid water on Earth's surface.
6. Appearance of continents.
7. Start of plate tectonics.
8. Appearance of photosynthetic bacteria.
9. Change in atmosphere due to photosynthetic bacteria.
10. Widespread appearance of complex organisms.
11. Adaptation of plant and animal life to land.
12. Periods of intense, long-lasting volcanic activity.
13. Re-positioning of Earth's continents and oceans, and its
resultant effect on weather patterns and ocean circulation.
14. Changes in Earth's magnetic fields.
15. Changes in Earth's orientation to the sun.
16. Random devastating meteorite impacts.
17. Glaciations, floods, earthquakes.
Life: Abundance, Diversity and Extinction of different species in response to changing climatic, ecologic and edaphic conditions.
