Answer:
9m
Explanation:
Given parameters:
Volume of the water = 5liters;
Since density = 1g/cm³
1L = 1000cm³
5L = 5000cm³
So;
mass = density x volume = 1 x 5000 = 5000g ; 5kg
Work done = 450J
Acceleration due to gravity = 10m/s²
Unknown:
Depth of the well = ?
Solution:
To solve this problem;
Work done = mass x gravity x depth
450 = 5 x 10 x depth
depth = 9m
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Answer:
a) 2.85 kW
b) $ 432
c) $ 76.95
Explanation:
Average price of electricity = 1 $/40 MJ
Q = 20 kW
Heat energy production = 20.0 KJ/s
Coefficient of performance, K = 7
also
K=(QH)/Win
Now,
Coefficient of Performance, K = (QH)/Win = (QH)/P(in) = 20/P(in) = 7
where
P(in) is the input power
Thus,
P(in) = 20/7 = 2.85 kW
b) Cost = Energy consumed × charges
Cost = ($1/40000kWh) × (16kW × 300 × 3600s)
cost = $ 432
c) cost = (1$/40000kWh) × (2.85 kW × 200 × 3600s) = $76.95
The pressure of a submerged object in a fluid is given by:
where ρ is the density of the fluis, g is the acceleration of gravity, h is the depth of the object and Patm is the pressure of the atmosphere. In this case we know that:
• The density of water is 1000 kg/m^3
,
• The acceleration of gravity is 9.8 m/s^2
,
• The depth of the object is 3 km, that is, 3000 m.
,
• The atmospheric pressure is 101325 pascals.
Plugging these values in the equation given above we have:
Therefore, the pressure at this depth is 2.95x10^7 Pa.
Answer:
m = 69.9 kg
Explanation:
The mass and the weight of an object are two different quantities. Mass is basically the amount of matter that is present in a body. It remains same everywhere in the universe and measured in kilograms.
Weight is basically a force. It is the force by which earth attracts everything towards itself. The weight of an object changes from planet to planet, with the change in value of the gravitational acceleration (g).
Therefore, the relation between mass and weight of an object is given by the following formula:
W = mg
m = W/g
where,
m = mass = ?
W = Weight = 685 N
g = 9.8 m/s²
Therefore,
m = (685 N)/(9.8 m/s²)
<u>m = 69.9 kg</u>