A twin-sized air mattress used for camping has dimensions of 75 cm by 225 cm by 17.5 cm when blown up. The weight of the mattres
1 answer:
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Kinetic energy and potential energy pair is the quantity in which one will increase then other will decrease
As we know that sum of kinetic energy and potential energy will always remain conserved
So here we will have
so here as we move away from mean position the kinetic energy will decrease while at the same time potential energy will increase.
So the pair of potential energy and kinetic energy will satisfy the above condition
Answer:
a) F₁ = 1.48 x 10³ N
b) P = 1.88*10⁵ Pa
c) The work is equal in both pistons
Explanation:
Pascal´s Principle can be applied in the hydraulic press:
If we apply a small force (F₁) on a small area piston (A₁), then, a pressure (P) is generated that is transmitted equally to all the particles of the liquid until it reaches a larger area piston and therefore a force (F₂) can be exerted that is proportional to the area(A₂) of the piston.
Pressure is defined as the force per unit area:
Formula (1)
P₁=P₂
Formula (2)
Data
r₁= 5 cm = 0.05 m
r₂= 15 cm = 0.15 m
F₂= 13300N
Area of the pistons (A₁,A₂)
A=π*r² : Area of the circle
A₁ = π*(0.05)²=7.85*10⁻³ m²
A₂= π*(0.15)²= 70.69*10⁻³ m²
a) Force that compressed air must exert to lift a car weighing 13300 N
We replace data in the formula (2)
F₁ = 1.48 x 10³ N
b) Air pressure produced by F₁
We replace data in the formula (1)
F₁ = 1.48 x 10³ N , A₁ = 7.85*10⁻³ m²
P= 1.88*10⁵ Pa
c)The volume of liquid displaced by the small piston is distributed in a thin layer on the large piston, so that the product of the force by the displacement (the work) is equal in both pistons.