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 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 3.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 10.🏋️ 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?
- 11.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
- 17.🏋️ 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
- 18.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 20.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 21.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 6 m took 1560 J of work. What force was used, in newtons?
- 28.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 36.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 240
- joule (J)
- 450
- 950
- 390
- 360
- less effort
- 700
- load ÷ effort
- 30
- 120
- 2100
- 980
- 50
- 3
- 490
- no, work stays the same
- 2310
- 480
- through a distance
- 6
- 650
- 4
- 160
- 400
- 260
- 260
- 360
- 40
- 3
- 340
- 2
- 70
- 4
- 1
- 920
- 200
- 440
- 6
- 2480
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