Answer :
Answer:
a) 19094 N
b) 110.055 kPa
c) 1222 J
Explanation:
The force on the gas is the weight plus the atmospheric pressure multiplied by the piston area
F = P + p * A
F = m * g + p * π/4 * d^2
F = 150 * 9.813 + 101570 * π/4 * 0.47^2 = 19094 N
The pressure is the force divided by the area of the piston
p1 = F / A
p1 = F / (π/4 * d^2)
p1 = 19094 / (π/4 * 0.47^2) = 110055 Pa = 110.055 kPa
variation of gravitational potential energy is defined as
ΔEp = m * g * Δh
ΔEp = 150 * 9.813 * 0.83 = 1222 J
In this exercise we have to use the knowledge of force to calculate the required energies, so we have to:
a) 19094 N
b) 110.055 kPa
c) 1222 J
What is the concept of force?
In the field of physics, force is a physical action that causes deformation or that changes the state of rest or movement of a given object.
a) Knowing that the force formula is defined by:
[tex]F = P + p * A\\F = m * g + p *\pi /4 * d^2\\F = 150 * 9.813 + 101570 * \pi /4 * 0.47^2 = 19094 N[/tex]
b) Knowing that the force exerted by an area is equal to the pressure in that area, we have:
[tex]p_1 = F / A\\p_1 = F / (\pi /4 * d^2)\\p_1 = 19094 / (\pi /4 * 0.47^2) = 110055 Pa = 110.055 kPa[/tex]
c)So calculating the potential energy we have:
[tex]\Delta E_p = m * g * \Delta h\\\Delta E_p = 150 * 9.813 * 0.83 = 1222 J[/tex]
See more about force at brainly.com/question/26115859