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Questions and Answers
What is the force acting on a 2 kg mass at rest in a gravitational field with an acceleration of $9.80665 , m/s^2$?
What is the force acting on a 2 kg mass at rest in a gravitational field with an acceleration of $9.80665 , m/s^2$?
What mass can be supported by a force of 1 N in a gravitational field with an acceleration of $9.80665 , m/s^2$?
What mass can be supported by a force of 1 N in a gravitational field with an acceleration of $9.80665 , m/s^2$?
If an aluminum piston weighing 2.5 kg is subjected to an upward force of 25 N, what is its acceleration?
If an aluminum piston weighing 2.5 kg is subjected to an upward force of 25 N, what is its acceleration?
According to the standard value used for gravitational acceleration, how does it vary with latitude?
According to the standard value used for gravitational acceleration, how does it vary with latitude?
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What is the legal guideline about reproducing excerpts from copyrighted material?
What is the legal guideline about reproducing excerpts from copyrighted material?
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What is the total mass of the solution after adding the mass of the gasoline to the tank mass?
What is the total mass of the solution after adding the mass of the gasoline to the tank mass?
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What is the force calculated for the given mass in the problem?
What is the force calculated for the given mass in the problem?
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What is the formula used to determine the pressure needed in the hydraulic system?
What is the formula used to determine the pressure needed in the hydraulic system?
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How is the mass of air in the container calculated?
How is the mass of air in the container calculated?
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What is the net force required to open the valve with an inside pressure of 735 kPa and an outside pressure of 99 kPa?
What is the net force required to open the valve with an inside pressure of 735 kPa and an outside pressure of 99 kPa?
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What is the average specific volume calculated for the granite and air combination?
What is the average specific volume calculated for the granite and air combination?
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If the cross-sectional area of the valve is 11 cm², what is the effective pressure difference used to compute net force?
If the cross-sectional area of the valve is 11 cm², what is the effective pressure difference used to compute net force?
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In the tank problem with broken membrane, what is the initial density of air in Room A?
In the tank problem with broken membrane, what is the initial density of air in Room A?
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How is the pressure in the hydraulic lift calculated when lifting a total weight of 740 kg?
How is the pressure in the hydraulic lift calculated when lifting a total weight of 740 kg?
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What is the resulting pressure in kPa if the area of the hydraulic lift's cylinder is required to be calculated?
What is the resulting pressure in kPa if the area of the hydraulic lift's cylinder is required to be calculated?
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What does the problem state about the distribution of air and granite within the container?
What does the problem state about the distribution of air and granite within the container?
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What is the overall volume of the container filled with granite and air?
What is the overall volume of the container filled with granite and air?
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What unit conversion is required when calculating the force based on pressure and area given in cm²?
What unit conversion is required when calculating the force based on pressure and area given in cm²?
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For a hydraulic cylinder with a diameter of 0.2 m, what is the significance of the diameter in terms of pressure calculation?
For a hydraulic cylinder with a diameter of 0.2 m, what is the significance of the diameter in terms of pressure calculation?
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What is the calculated mass of air in the 5 m3 container filled with granite?
What is the calculated mass of air in the 5 m3 container filled with granite?
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In the equation for force balance, what does 'mg' represent in the context?
In the equation for force balance, what does 'mg' represent in the context?
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What is the formula used to determine the pressure exerted by a force acting on an area?
What is the formula used to determine the pressure exerted by a force acting on an area?
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If a hydraulic lift has to lift a mass of 850 kg, what is the force acting on it due to gravity?
If a hydraulic lift has to lift a mass of 850 kg, what is the force acting on it due to gravity?
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Given a maximum fluid pressure of 500 kPa, what is the maximum force that the hydraulic lift can exert?
Given a maximum fluid pressure of 500 kPa, what is the maximum force that the hydraulic lift can exert?
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What is the area of the piston if the diameter is given as D and the area is calculated using $A = rac{ ext{π} D^2}{4}$?
What is the area of the piston if the diameter is given as D and the area is calculated using $A = rac{ ext{π} D^2}{4}$?
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What is the relationship between the initial pressure, the downward force on the lift, and the cross-sectional area of the piston?
What is the relationship between the initial pressure, the downward force on the lift, and the cross-sectional area of the piston?
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What is the relationship between force and pressure regarding a human footprint on snow?
What is the relationship between force and pressure regarding a human footprint on snow?
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What is the minimum area required for snowshoes, given a weight of 75 kg and snow support pressure of 3 kPa?
What is the minimum area required for snowshoes, given a weight of 75 kg and snow support pressure of 3 kPa?
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What is the gravitational force acting on a 75-kg human?
What is the gravitational force acting on a 75-kg human?
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What needs to be true about the pressure in water to lift a piston with a mass of 100 kg?
What needs to be true about the pressure in water to lift a piston with a mass of 100 kg?
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What is the atmospheric pressure outside when lifting a piston?
What is the atmospheric pressure outside when lifting a piston?
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In the context of snowshoeing, what does the term 'extra 3 kPa' indicate?
In the context of snowshoeing, what does the term 'extra 3 kPa' indicate?
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What happens if the total pressure exceeds 3 kPa on snow?
What happens if the total pressure exceeds 3 kPa on snow?
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What principle is used to calculate the necessary area for the snowshoe and piston?
What principle is used to calculate the necessary area for the snowshoe and piston?
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Study Notes
Force and Mass
- The standard acceleration due to gravity is 9.80665 m/s2
- The force required to hold a 2 kg mass at rest in the gravitational field is 19.613 N
- A force of 1 N can support 0.102 kg of mass
Acceleration
- A 2.5 kg aluminum piston is being accelerated upwards in the gravitational field by a force of 25 N
- The piston accelerates at 10 m/s2
Density and Specific Volume
- A 5 m3 container is filled with 900 kg of granite, which has a density of 2,400 kg/m3
- The container is also filled with air, which has a density of 1.15 kg/m3
- The mass of air in the container is 5.32 kg
- The overall specific volume of the mixture in the container is 0.00552 m3/kg
Pressure
- Two rooms of a tank are separated by a membrane, each containing air
- Room A contains 1kg of air in 0.5 m3
- Room B contains air at a density of 0.8 kg/m3 and 0.75 m3
- The membrane is broken and the air mixes to a uniform state
- The final density of the air after the membrane is broken is 0.583 kg/m3
Hydraulic Systems
- A valve with an area of 11 cm2 is fitted to a cylinder containing 735 kPa of pressure
- The cylinder is subject to an outside pressure of 99 kPa
- The valve requires 700 N of force to open
Hydraulic Lift
- A hydraulic lift has a cylinder with a diameter of 0.2 m.
- The lift is to be used to lift 40 kg of piston/arms and 700 kg of a car
- The hydraulic fluid requires a pressure of 332 kPa
Snowshoes
- A person weighing 75 kg is wearing boots with a footprint of 0.05 m2
- The person wants to walk on snow that can support an additional 3 kPa
- The person needs snowshoes with a total area of 0.245 m2
Piston/Cylinder
- A piston/cylinder has an area of 0.01 m2 and a piston mass of 100 kg
- The cylinder is subject to an outside atmospheric pressure of 100 kPa
- The water pressure must be above 200 kPa to lift the piston.
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Description
Test your understanding of fundamental concepts in physics related to force, mass, and pressure. This quiz covers topics such as gravity, acceleration, density, and the behavior of gases in different conditions. Prepare to apply your knowledge and solve problems effectively.
