Answer:
The rate of change of the height is - 4 ft/s
Solution:
As per the question:
Height of the person, y = 5 ft
The rate at which the person walks away,
Distance of the spotlight from the wall, x = 40 ft
Now,
To calculate the rate of change in the height, of the person when, x = 10 m:
From fig 1.
xy = 200 (1)
Differentiating the above eqn w.r.t time t:
Thus
(2)
From eqn (1):
When x = 10 ft
10y = 200
y = 20 ft
Using eqn (2):
Answer: Density is defined as the mass per volume of a substance. Thus, air density is defined as the mass of air per unit volume. Using... Air pressure, or atmospheric pressure, is defined as the weight of air in Earth's (or another planet's) atmosphere.
Explanation:
From the law of conservation of momentum, the first egg did not break because it forward momentum is transferred to the cloth while the second egg broke, the block exerts an opposite force equal to the momentum of the egg on the egg.
<h3>Momentum</h3>
Momentum is the product of the mass of an object and its velocity of motion.
The law of conservation of momentum states that the momentum of an isolated system of colliding bodies is conserved.
When an egg is thrown on a large sheet of cloth suspended, the egg does not break because the momentum of the egg is transferred to the cloth as it is depressed.
However, a second egg, thrown with similar force at a suspended concrete block, did break on impact because the block does not move forward, instead it exerts an equal but opposite force on the egg resulting in the egg breaking.
Therefore, from the law of conservation of momentum, the first egg did not break because it forward momentum is transferred to the cloth while the second egg broke, the block exerts an opposite force equal to the momentum of the egg on the egg.
Learn more about momentum at: brainly.com/question/7538238
Answer:
Explanation:
Let establish a control volume in the industrial pressure cooker, which is a transient state system. From the First Law of Thermodynamics, the heating process is modelled:
The heat transfered to the cooker is:
Properties at each state are described below:
State 1
State 2
The heat transfered to the cooker is:
Answer:
8.25 V
Explanation:
We can ignore the 22Ω and 122Ω resistors at the bottom. Since there's a short across those bottom nodes, any current will go through the short, and none through those two resistors.
The 2Ω resistor and the 44Ω resistor are in parallel. The equivalent resistance is:
1 / (1 / (2Ω) + 1 / (44Ω)) = 1.913Ω
This resistance is in series with the 12Ω resistor. The equivalent resistance is:
1.913Ω + 12Ω = 13.913Ω
This resistance is in parallel with the 24Ω resistor. The equivalent resistance is:
1 / (1 / (13.913Ω) + 1 / (24Ω)) = 8.807Ω
Finally, this resistance is in series with the 4Ω resistor. The equivalent resistance of the circuit is:
8.807Ω + 4Ω = 12.807Ω
The current through the battery is:
12 V / 12.807Ω = 0.937 A
The voltage drop across the 4Ω resistor is:
(0.937 A) (4Ω) = 3.75 V
So the voltage between the bottom nodes and the top nodes is:
12 V − 3.75 V = 8.25 V