Answer:
The flow rate of water is (300000kg/s) = (300000l/s)
Explanation:
To compute the volume of moving fluid per second in the channel, we consider the channel's section, the water depth, and the fluid velocity:
Volume flow rate = 15m × 8m × (2.5m/s) = 300 m³/s
To find the mass or liters of water flowing per second, multiply the volume of circulating fluid by the water's density:
Flow rate of water = (300m³/s) × (1000kg/m³) = (300000kg/s) = (300000l/s)
It is important to note that 1kg of water is approximately equivalent to 1 liter.
Answer:
All three pendulums will have the same angular frequencies.
Explanation:
For a simple pendulum, the time period using the approximation 
is expressed as:
The angular frequency 
is defined as
Since the angular frequency remains unaffected by the initial angle (valid strictly for small angle approximations), we deduce that the angular frequencies of the three pendulums are identical.
This can be determined using the principle of energy conservation. The ski lift begins with a velocity of v= 15.5 m/s, and all of its kinetic energy Ek converts into potential energy Ep, thus we set Ep equal to Ek.
Because Ek is given by (1/2)*m*v², where m denotes mass and v represents speed, while Ep equals m*g*h, where m is mass, g is 9.81 m/s², and h is height. Now:
Ek=Ep
(1/2)*m*v²=m*g*h, canceling out the mass,
(1/2)*v²=g*h, rearranging for height by dividing by g,
(1/2*g)*v²=h and substituting the values:
h=12.245 m. The hill's height rounded to the nearest tenth is h=12.25 m.
For this issue, the answer is clarified as the system takes in energy (+). The surroundings contribute 84 KJ of work. Whenever a system is receiving work from its surroundings, the value will be positive. Therefore, it sums to 12.4 KJ + 4.2 = 16.6 KJ.
