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.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 3.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 4.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 5.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 6.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 8.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 12.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 400 N did 2000 J of work. How many metres did the object move?
- 15.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 17.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 22.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 23.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 24.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 80 N did 400 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 38.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 39.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 220 N did 2200 J of work. How many metres did the object move?
Answer key
- 40
- through a distance
- 140
- less effort
- 120
- 30
- joule (J)
- 40
- 400
- 270
- load ÷ effort
- 300
- 550
- 5
- 80
- 180
- 780
- 240
- 3
- 450
- 160
- no, work stays the same
- 9
- 120
- 100
- 5
- 900
- 210
- 120
- 680
- 6
- 650
- 1900
- 5
- 2940
- 180
- 2
- 3
- 80
- 10
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