Physics: Weight, Mass, and Density Concepts
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Questions and Answers

What is the weight of a man with a mass of 75 kg in Newtons?

735 N

What is the mass of Teacher John in slugs and in lbm if he weighs 180 pounds?

slugs: 5.4; lbm: 180

What is the mass of a woman on a planet with gravity of 4 m/s² if her mass on Earth is 54 kg?

54 kg

What would be the weight on the moon of an object that weighs 52 pounds on Earth?

<p>15.47 lbm</p> Signup and view all the answers

What volume will 150 g of mercury occupy if its density is 13.6 g/cm³?

<p>11.03 cm³</p> Signup and view all the answers

What is the weight density of a board measuring 2" x 6" x 5' that weighs 15 lbs and 4 oz?

<p>0.12 lb/ft³</p> Signup and view all the answers

What is the density of a system consisting of 2 kg of water and 120 liters of steam in a 50-liter vessel?

<p>17.31 kg/m³</p> Signup and view all the answers

What is the density of lubricating oil with a specific gravity of 0.92?

<p>920 kg/m³</p> Signup and view all the answers

What is the specific gravity of a plastic cylinder that is 100 mm long and has a mass of 1 kg?

<p>5.092</p> Signup and view all the answers

What is a woman's systolic blood pressure of 160 mm Hg in lb/in²?

<p>3.12 lb/in²</p> Signup and view all the answers

What is the absolute pressure of a fluid in kPa if the gauge indicates 12 kPa and the outside pressure is 110 kPa?

<p>122 kPa</p> Signup and view all the answers

What is the absolute pressure inside a condenser if the vacuum gauge reads 65 kPa and the barometer indicates 1.013 bar?

<p>53 kPa</p> Signup and view all the answers

What is the water pressure at the bottom of the sea at a depth of 3600 m with a specific gravity of 1.03?

<p>36.39 MPa</p> Signup and view all the answers

What is a worker's body temperature of 40°C in °F?

<p>104°F</p> Signup and view all the answers

What is the absolute temperature in Rankine if the air temperature is 85°F?

<p>565.67 R</p> Signup and view all the answers

What is the temperature change in Kelvin if a room air conditioner causes a temperature change of −5.2°C?

<p>5.2 K</p> Signup and view all the answers

What is the temperature change in °F for water entering an electric heater at 30°C and leaving at 38°C?

<p>14.4°F</p> Signup and view all the answers

What is the velocity of water through the nozzle of a garden hose if the inner radius is 1.0 cm and water flows at 2.0 m/s?

<p>10 m/s</p> Signup and view all the answers

What is the volume flow rate of air leaving a duct if 1 cubic meter per second of air enters with a density of 1.2 kg/m³?

<p>0.94 m³/s</p> Signup and view all the answers

What is the density of a casting of an alloy weighing 74 g with a thickness of 0.125 inch and a diameter of 1.75 in?

<p>15.028 g/cm³</p> Signup and view all the answers

What is the allowable depth a submarine can descend to withstand a pressure of 1.2 × 10^7 Pa?

<p>1193.5 m</p> Signup and view all the answers

What is the absolute pressure in the condenser in bars when the condenser vacuum gauge reads 706 mm Hg at a barometric pressure of 755 mm Hg?

<p>0.065 bars</p> Signup and view all the answers

What is the conversion of a pressure of 25 mm water to mm Hg?

<p>1.84 mm Hg</p> Signup and view all the answers

What is the gauge pressure of air in an automobile tire, converted from 0.21 lb/ft² to torr?

<p>0.075 torr</p> Signup and view all the answers

What is a furnace temperature of 4500 °R expressed in °C?

<p>2226.67 °C</p> Signup and view all the answers

What is the temperature in Kelvin when the temperature reaches 41°C?

<p>314 K</p> Signup and view all the answers

What is the temperature of a patient reading 41°C in Fahrenheit?

<p>105.8 °F</p> Signup and view all the answers

What is the temperature difference of 54.0 °F expressed in Kelvin?

<p>30 K</p> Signup and view all the answers

What is the velocity of water leaving a smaller pipe connected to a larger pipe with given areas?

<p>2 m/s</p> Signup and view all the answers

How fast is water traveling as it leaves a garden hose that fills a 25-L wastebasket in 120 s with a radius of 1.00 cm?

<p>66.3 cm/s</p> Signup and view all the answers

What is the average speed of blood traveling in arteries given the aorta velocity and dimensions?

<p>19.53 cm/s</p> Signup and view all the answers

Study Notes

Weight and Mass

  • Weight is the force exerted on an object due to gravity. It is measured in Newtons (N).
  • Mass is the amount of matter in an object. It is measured in kilograms (kg).
  • Weight = Mass x Acceleration due to gravity (g)
    • On Earth, g ≈ 9.8 m/s2

Density

  • Density is the mass per unit volume of a substance.
  • Density = Mass / Volume
  • Specific gravity is the ratio of the density of a substance to the density of water at 4°C.
    • Specific gravity = Density of substance / Density of water
    • Density of water ≈ 1 g/cm3 or 1 kg/m3

Pressure

  • Pressure is the force per unit area.
  • Pressure = Force / Area
  • Gauge pressure is the difference between the absolute pressure and the atmospheric pressure.
  • Absolute pressure is the total pressure at a point, including the atmospheric pressure.
  • Vacuum pressure is the pressure below atmospheric pressure.

Temperature

  • Celsius (°C) and Fahrenheit (°F) are commonly used scales for measuring temperature.
  • Kelvin (K) is the absolute temperature scale.
  • 0 K = -273.15 °C
  • °F = (9/5)°C + 32
  • °C = (5/9)(°F - 32)

Fluid Mechanics

  • Flow rate is the volume of fluid flowing per unit time.
  • Flow rate = Volume / Time
  • Velocity is the speed of fluid flow.
  • Velocity = Distance / Time
  • Continuity equation: For an incompressible fluid, the mass flow rate at any point in a pipe is constant.
    • Mass flow rate = Density x Area x Velocity

Energy

  • Energy is the capacity to do work.
  • Potential energy is the energy stored due to an object's position.
  • Kinetic energy is the energy stored due to an object's motion.
  • Work = Force x Distance

Examples

  • Example 1: Weight of a man
    • Mass of man = 75 kg
    • Weight = 75 kg x 9.8 m/s2 = 735 N
  • Example 2: Volume of mercury
    • Mass of mercury = 150 g
    • Density of mercury = 13.6 g/cm3
    • Volume = Mass / Density = 150 g / 13.6 g/cm3 = 11.03 cm3
  • Example 3: Flow rate of air
    • Flow rate of air entering duct = 1 m3/s
    • Density of entering air = 1.2 kg/m3
    • Density of leaving air = 1.18 kg/m3
    • Applying continuity equation:
      • Mass flow rate entering = Mass flow rate leaving
      • Densityentering x Areaentering x Velocityentering = Densityleaving x Arealeaving x Velocityleaving
      • Velocityleaving = (Densityentering x Areaentering x Velocityentering) / (Densityleaving x Arealeaving)
      • Velocityleaving = (1.2 kg/m3 x 0.2 m x 0.15 m x 1 m3/s) / (1.18 kg/m3 x 0.175 m x 0.125 m)
      • Velocityleaving = 1.36 m/s
    • Flow rate of leaving air = Arealeaving x Velocityleaving = 0.175 m x 0.125 m x 1.36 m/s = 0.03 m3/s
  • Example 4: Potential energy of suitcase
    • Mass of suitcase = 30 kg
    • Height = 35 m
    • Potential energy = Mass x Acceleration due to gravity x Height = 30 kg x 9.8 m/s2 x 35 m = 10.3 kJ

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Description

This quiz covers fundamental concepts related to weight, mass, density, pressure, and temperature in physics. Understand the relationships between these physical quantities and their implications in real-world scenarios. Perfect for students seeking to reinforce their knowledge in introductory physics.

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