Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 2.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 10 m took 1900 J of work. What force was used, in newtons?
- 8.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 12.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 210 N did 1050 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 22.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 23.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 25.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 27.🏋️ A force of 480 N did 2880 J of work. How many metres did the object move?
- 28.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 32.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 90 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 160 N did 640 J of work. How many metres did the object move?
- 36.🏋️ A force of 30 N did 240 J of work. How many metres did the object move?
- 37.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 5
- 6
- 760
- 130
- 3
- 190
- 980
- 1260
- 1440
- 3
- 900
- 5
- 5
- 400
- 6
- 4
- 300
- 3
- 60
- 10
- load ÷ effort
- 90
- 4
- 540
- less effort
- 6
- 850
- 550
- 450
- 2
- 1320
- 4
- 360
- 4
- 8
- 200
- 800
- 1290
- 3150
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