Answer:
A) The free body diagrams for both the load of bricks and the counterweight are attached.
B) a = 2.96 m/s²
Explanation:
A)
The free body diagrams for both the load of bricks and the counterweight are attached.
B)
The acceleration of upward acceleration of the load of bricks is given by the following formula:
a = g(m₁ - m₂)/(m₁ + m₂)
where,
a = upward acceleration of load of bricks = ?
g = 9.8 m/s²
m₁ = heavier mass = mass of counterweight = 28 kg
m₂ = lighter mass = mass of load of bricks = 15 kg
Therefore, using these values in equation, we get:
a = (9.8 m/s²)(28 kg - 15 kg)/(28 kg + 15 kg)
<u>a = 2.96 m/s²</u>
Answer:
c = 13.5 m
Explanation:
from the attached diagram, we can apply the cosine rule to get the resultant displacement (c) where
c = 
- from the diagram β = 55 degrees because they are alternate angles
θ + β = 180 (sum of angles on a straight line )
θ + 55 = 180
θ = 180 - 55
θ = 125 degrees
- c =
c = 
c =
c = 13.5 m
This is a hydraulic system, and these systems rely on the incompressible nature of fluids to transmit pressure through the fluid equally. Therefore, the pressure on the wide side of the U-tube (the side with the car) must be equal to the pressure on the narrow side of the U-tube. We begin by calculating the pressure on the wider side:
Pressure on wide side = pressure due to car + pressure due to difference in height of oil
The pressure by the car is calculated using:
Pressure = force / area
P = 12,000 / (π * 0.18²)
P = 118 kPa
While the pressure due to the oil is given by:
Pressure = density * gravitational field strength * height
P = 800 * 9.81 * 1.2
P = 9.4 kPa
Pressure on wide side:
118 + 9.4 = 127.4 kPa
Pressure on the narrow side will be given by:
Pressure = force / area
Force = area * pressure
Force = (π * 0.05²)(127,000)
Force = 997 Newtons
The force required is about 1 kN
Hey there!
The pressure under a liquid column can be , calculated using the following formula :
P = p x g x h
P atm = 1.013 x 10⁵ Pa
g = 9.8 m/s²
h = ?
h = P / ( p x g ) =
h= ( 1.013 x 10⁵ Pa ) / ( 900 x 9.8 ) =
h = ( 1.013 x 10⁵ ) / ( 8820 ) =
h = 11.48 m ≈ 11.50 m
Hope this helps!
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