Force, Work, Power and Pressure Chapter 27 Learning intentions By the end of this chapter you should be able to • Explain force, work, power and pressure • List four examples of forces • Explain the moment of a force • Explain levers and what they are used for • Carry out simple calculations for work, power and pressure What is Force? Force: Causes a stationary object to move Unit of force = Newton (N) Types of Forces: • Force of gravity • Magnetic force • Electric force • Force of friction Sir Isaac Newton Forces on a car Types of Forces Force of Gravity • Objects fall to the ground due to gravity Magnetic force •If a magnet is placed near a piece of metal it will attract the metal causing it to move Types of Forces Electric force • Static electricity attracts small pieces of paper • When you rub a plastic pen against the sleeve of your jumper, you can lift small pieces of paper with your pen. activity • Try to demonstrate static electricity (you can watch the videos for ideas) Force of Friction Friction: A force that opposes the sliding motion of an object when in contact with another object • Rougher surfaces create a greater frictional force when in contact with another object • Smoother surfaces create less frictional force when in contact with another surface (e.g. walking on ice) Activity • Watch the video Advantages of Friction • Friction is needed to stop a car or bicycle • Friction occurs between the brakes and the brake pads) • Friction allows you to walk on the ground • Friction occurs between the shoes and the ground • Friction between car tyres and the ground allows cars to drive around corners at a greater speed Disadvantages of Friction • Shoes become worn because of the friction between the shoes and the ground • If a person is walking a lot they may get blisters due to the friction between their feet and the shoes • Friction between a moving car and the air results in more fuel being used (air resistance) How to reduce friction: Lubrication: Used to reduce the friction between two surfaces in contact Examples of lubricants: •Oil •Liquid polish •Soap How to reduce friction: Examples of lubricants used to reduce friction: • Oils are used in engines to reduce friction of the moving parts • Human joints (where two bones meet) have a liquid to reduce the friction between the bones • Squeaky hinges on doors (caused by friction) can be fixed by using a liquid polish as a lubricant How to reduce friction: Synovial fluid in joints Weight and mass in science Weight and Mass: What is the difference? Weight (force) Mass Weight is the amount of matter in an object and the force of gravity on the object Weight is measured in Newtons (N) Mass is the amount of matter in an object Weight of an object can change Mass of an object does not change Mass is measures in grams or kilograms Weight and Mass: How to convert mass into weight Weight (Newtons) = Mass (kilograms) x 10 What is the weight of an object of mass 6.8kg? Weight = Mass x 10 Weight = 6.8 x 10 Weight = 68 N Mass (kilograms)= Weight (Newtons) ÷ 10 What is the mass of an object of weight 250N? Mass = Weight ÷ 10 Mass = 250 ÷ 10 Mass = 25 kg The effect of force on a spring: Hooke’s Law: The extension of a spring is directly proportional to the force causing the extension Experiment To investigate the relationship between the extension of a spring and the applied force Equipment: Spring, weights, metre stick, retort stand Method: 1. 2. Place a spring to a retort stand and measure the length of it Attach a weight to the spring and measure the extension of the spring 3. Repeat by adding more weights to the spring and record the new extensions The effect of force on a spring: Result: The effect of force on a spring: Conclusion: • The graph has a straight line through the origin • The extension of a spring is directly proportional to the force Force: causing a stationary object to move Force causes movement in a circular manner Moment of a force: When an object moves in a circular pattern due to the force applied to it It tells us how much spin or circular motion a force can cause How to Calculate Moment of a Force Moment of a force (Nm) = Force (N) x Distance from fulcrum (m) Fulcrum or axis: the point at which the object turns Moment of a force calculations 1. A force of 7N is applied to a piece of cardboard. The distance from the fulcrum to the force is 0.8m. Calculate the moment of the force. Moment of a force (Nm) = Force (N) x Distance from fulcrum (m) Moment of a force = 7N x 0.8m Moment of a force = 5.6 Nm 1. A 6N causes an object to spin. The force is 0.5m away from the fulcrum. Calculate the moment of the force. Moment of a force (Nm) = Force (N) x Distance from fulcrum (m) Moment of a force = 6N x 0.5m Moment of a force = 3 Nm Levers Lever: A rigid body that can turn about a fixed point called a fulcrum. Fulcrum: point where the lever turns Effort: Force being applied by the student Load: The large rock Everyday examples of Levers Everyday Examples of Levers Scissors • Load: The paper being cut • Effort: Force applied by the fingers • Fulcrum: Located between the effort and the load Wheelbarrow • Load: The item being carried • Effort: Force applied by the person • Fulcrum: axle of the wheel at the front Door • Load: door being moved • Effort: push or pull applied to the handle • Fulcrum: hinges on the door Law of the Lever Law of the lever: when a lever is balanced the sum of the clockwise moment equals of the sum of the anticlockwise moment. You know how to calculate the moment of a force Moment of a force (Nm) = Force (N) x Distance from fulcrum (m) Law of the Lever Anticlockwise Moment 10N x 2m = 20Nm Clockwise Moment 20N x 1m = 20Nm Use your knowledge of the Law of the lever to find missing value of the force Anticlockwise moment 20N x 12m = 240Nm Clockwise moment F x 8m Anticlockwise moment = Clockwise moment 240Nm = 8m x F 240Nm / 8m = F 30N = F What is Pressure? Pressure is the amount of force acting on a certain area. Pressure = Force Area Unit of pressure: N/m2 or Pascal (Pa) The unit you use will depend on the information given in the question Pressure Calculations F – Force P – Pressure A – Area F P x A Pressure Calculations F P Force (F)= Pressure (P) x Area (A) Pressure (P) = Force (F) / Area (A) Area (A) = Force (F) / Pressure (P) x A Question 1 A force of 200N acts on an area of 25m2. Calculate the pressure. Pressure = Force / Area Pressure = 200N / 25m2 Pressure = 8 N/m2 Question 2 A 100kg block rests on a table. The area of contact between the block and the table is 4m2. Calculate the pressure the block exerts on the table. Force = Mass x 10 Force = 100kg x 10 Force = 1000N Pressure = Force / Area Pressure = 1000N / 4m2 Pressure = 250N/m2 Question 3 Calculate the pressure on the ground when a person weighing 500N balances on one heel of a stiletto shoe. The area of the heel is 1cm2. Pressure = Force / Area Pressure = 500N / 1cm2 Pressure = 500N/cm2 Question 4 Calculate the pressure on the ground when an elephant weighing 50000N balances on one foot. The area of the elephant’s foot is 400cm2. Pressure = Force / Area Pressure = 50000N / 400cm2 Pressure = 125N/cm2 Increasing Pressure To increase pressure you have two options: 1. Increase the force 2. Decrease the value of the area Example: A block has a weight of 1000N. The block has a length of 20cm, width of 10cm and a height of 5cm. What way do you place the block on the table to get maximum pressure? Pressure varies with the depth of a liquid Pressure varies with the depth of a liquid Pressure varies with the depth of a liquid Air has mass and occupies space Atmospheric pressure Earth’s atmosphere: layer of gases around the earth’s surface. These gases exert force on the earth due to gravity • Atmospheric pressure Why don’t we feel the pressure? The outside atmospheric pressure pushing in is balanced by the inside pressure pushing out Atmospheric Pressure Atmospheric pressure at the top of a high mountain is less that the atmospheric pressure on a valley. Measuring Pressure Pressure gauge • Used to measure tyre pressures on cars Barometer • Measures atmospheric pressure • Used in forecasting weather Measuring Pressure Altimeter • Measures the atmospheric pressure and converts it to height • Used in aeroplanes Weather and Pressure Atmospheric pressure has a huge influence on the weather. • Low atmospheric pressure: when the air is warm and contains moisture • Brings wind and rain • High atmospheric pressure: when air is cold and dry • Brings settled, dry weather Weather and Pressure Work • Work is done if a force causes an object to move. The trolley is moving so Work IS being done The house is not moving so Work IS NOT being done How to calculate Work • The Unit of Work is Joules (J) Work (J) = Force (N) x Distance (m) The cat is using a force of 15N to move the trolley a distance of 2 metres. Calculate the work being done. Work (J) = Force (N) x Distance (m) Work (J) = 15N x 2m Work (J) = 30 J Complete the following calculations to find out the amount of work being done. Calculate the work done when: 1. A force of 60N is used to move an object 3 metres. 2. A force of 150N is used to move an object 1.5 metres. 3. A force of 3N is used to move an object 5 metres. 4. A force of 20N is used to move an object 4.2 metres. 5. A force of 15N is used to move an object 8 metres. More difficult calculations • Calculate the work done when: 1. A force of 2.5N is used to move an object 200cm. 2. A force of 5N is used to move and object 60cm 3. A weightlifter lifts 120kg to a height of 2m