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.
NameDateTime takenScore ___ / 40
- 1.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Pushing a crate 4 m took 1000 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 230 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 8.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 12.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
- 17.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 130 N did 1040 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 23.🏋️ 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?
- 24.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 30.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 31.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 500 N did 2500 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 39.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 40.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 110
- 250
- 2
- through a distance
- 300
- 2070
- no, work stays the same
- 3
- 850
- 2580
- 2
- 570
- 30
- 5
- 3
- 100
- 640
- 8
- 50
- 6
- 1260
- load ÷ effort
- 850
- 4
- 850
- 250
- 150
- 2880
- less effort
- 10
- 1500
- 840
- 300
- 560
- 5
- 950
- 2
- joule (J)
- 410
- 500
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