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Machines,Work,Power,Efficiency, and Mechanical Advantage Answer Key

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Machines
#1 All simple machines fit into which two families (or types)? levers and wedges
#2 List the 3 machines that are considered levers lever, pulley, wheel and axle
#3 List the6 types ofsimple machines. lever, pulley, wheel and axle, wedge, incline plane, screw
#4 List 2 ways a screw is a wedge. Threads are spiraled incline plane and point is wedge
#5 Identify 3 simple machines used in the Rube Goldberg machine. varies
work
#1 Give the formula for work. Work = force x distance
#2 Give the unit of measure for work. Joules
#3 In an ideal machine how is work in related to work out? work in = work out
#4 How do machines affect work? Work is not affected, only force and distance
#5 Calculate the work required to move a 3500 N crate a distance of 20 m. 3500 N x 20 m = 70000J
Mechanical Advantage
#1 What is the formula for mechanical advantage? Mechanical Advantage = Resistance Force/ Effort Forct
#2 How would you calculate the ideal mechanical advantage of a lever? IMA = effort arm length/ resistance arm length
#3 How would you calculate the ideal mechanical advantage of an incline plane (or wedge)? IMA = effort distance/ resistance distance = length of slope/ height (or width) of slope
#4 A worker applies an effort force of 20 N with a crowbar to pry open a window with a resistance force of 500 N. What is the mechanical advantage of the crowbar? MA = 500N/ 20N = 25
#5 Calculate the ideal mechanical advantage of a unicycle with a wheel radius of 30 cm and an axle radius of 1.5 cm. IMA = wheel radius/ axle radius = 30 cm/ 1.5 cm
Efficiency
#1 What is the formula for efficiency of a machine? Efficiency = (Work out/ Work in) x 100%
#2 How would you calculate efficiency when only force and distance (not work) are known? Efficiency = Resistance Force x Resistance distance/ Effort force x effort distance
#3 In practice, machines are never 100% efficient. Why is work out always less than work in? Some work is always converted to heat due to friction.
#4 Calculate the efficiency of a machine that does 300J of work when running but requires an input of 500J of work to operate. efficiency = 300J /500J x 100% = 60%
#5 A box weighting 3000N must be place in a truck 1.5 m off the ground. A worker used a force of 600 N to push it up a ramp with a length of 10 m. What is the efficiency of the incline plane? efficiency = (3000N x 1.5m)/ (600N x 10m) x 100% = 75%
Power
#1 What is the formula for power? Power = Work / Time
#2 What is the unit of measure for power? Watts
#3 You are comparing two snowblowers. Both will put of the same amount of work, but the work is done at different rates. Which machine will have the greatest power? The machine with the fastest rate.
#4 How much power does a person weighing 500 N need to climb a 4m ladder in 5 seconds? Power = 500N x 4m/ 5 seconds = 400W
#5 A 600 N passenger is inside a 23,400 N elevator that rises 30 m in exactly 90 seconds. How much power is needed to raise the elevator? Power = (600n + 23,400N) x 30m/ 90 s = 8000W = 8 kW
Final Question
A seesaw with a moveable fulcrum has a total lenth of 6 meters. Where would the fulcrum need to be for a child weighing 100N and an adult weighing 500N to balance the seesaw? Work in = work out -----force x distance of adult = force x distance of child ----- 500n/ 100n = 5 so distance of child/ distance of adult must = 5. -----Adult must be 1m from fulcrum and child must be 5 m from fulcrum.