Answer:
2255 days
Explanation:
height, h = 1.8 km = 1800 m
amount of water, m = 3.2 x 10^7 kg
Power, P = 2.9 kW = 2900 W
Let t be the time taken
Energy required to lift the water,
E = m g h
E = 3.2 x 10^7 x 9.8 x 1800 = 5.65 x 10^11 J
Power, P = Energy / time
t = E / P = (5.65 x 10^11) / 2900
t = 1.95 x 10^8 second
t = 2255 days
thus, the time taken is 2255 days.
Explanation:
It is given that,
Speed of the sports car, v = 85 mph = 37.99 m/s
The radius of curvature, r = 525 m
Let
is the normal weight and
is the apparent weight of the person. Its apparent weight is given by :

So, 



or

Hence, this is the required solution.
Answer:
The apparent depth of (a) the fish is 5.3 cm and (b) the image of the fish is 24.8 cm.
Explanation:
According to the following equation:

where <em>nw</em> and <em>na</em> is the refractive indices of water (1.33) and air (1.00) respectively; <em>s</em> is the depth of the fish below the surface of the water; s' is the apparent depth of the fish from normal incidence and Rc is the radius of curvature of the mirror at the bottom of the tank.
Note that the bottom of the tank is assumed to be a flat mirror, therefore the radius of curvature is very large (R⇒∞).
Therefore, the above equation can be expressed as:

Now we can solve for the apparent depth of the fish.
(a)
(Make s' subject of the formula from the above equation)

∴ 
(b) The motionless fish floats 13 cm above the mirror, therefore the image of the fish will be situated at 13 + 20 =33 cm away from the real fish.
Therefore, s = 33 cm



NB: Here, it is assumed that the water is pure, as impurities may alter the refractive index of water.
Variables shift both the long-run and short-run aggregate-supply curves are productivity, labor Wage Costs and taxes and other costs.
<h3>What is aggregate-supply?</h3>
The entire quantity of goods and services that enterprises in a national economy intend to sell during a certain time period is known as aggregate supply
Variables shift both the long-run and short-run aggregate-supply curves are ;
1. Productivity
2. Labor Wage Costs.
3. Taxes and other costs -
4. Material Prices.
5. Size of labor force.
6. Stock of Capital.
Hence, variables shift both the long-run and short-run aggregate-supply curves are productivity, labor Wage Costs and taxes and other costs.
To learn more about the aggregate-supply, refer:
brainly.com/question/16419230
#SPJ1
Answer with Explanation:
We are given that
Y=(-4,12)
Z=(1,19)
We have to find the ordered pair which represents the vector YZ and magnitude of vector YZ.
Vector YZ=Z-Y=<1,19>-<-4,12>
Vector YZ=<5,7>
Magnitude of vector r


Using the formula

