a piston-cylinder apparatus has a 4 kg piston with a diameter of 5 cm resting on a body of water 60 cm high. atmospheric pressur
1 answer:
The mass of the water in the container is 10,104.00 kg.
A schematic diagram of a piston-cylinder apparatus is shown in the adjoining image.
In the above case, the atmospheric pressure applied by the piston and the weight of the piston should balance the weight of the water inside the container
Hence,
Atmospheric Pressure x Area of Piston + Mass of piston x g = Mass of water x g
101 x 10^3 x pi x (2.5 x 10^-2)^2 + 4 x 10 = Mass of water x 10
Mass of water x 10 = 101,040.001
Mass of Water = 101,040.001/10
Mass of Water = 10,104 kg
Hence, the mass of the water in the container is 10,104.00 kg.
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Answer:
The car stops in 7.78s and does not spare the child.
Explanation:
In order to know if the car stops before the distance to the child, you take into account the following equation:
(1)
vo: initial speed of the car = 45km/h
a: deceleration of the car = 2 m/s^2
t: time
xo: initial distance to the child = 25m
x: final distance to the child = 0m
It is necessary that the solution of the equation (1) for time t are real.
You first convert the initial speed to m/s, then replace the values of the parameters and solve the quadratic polynomial for t:
You take the first value t1 because it has physical meaning.
The solution for t is real, then, the car stops in 7.78s and does not spare the child.