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.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 8.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 16.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 17.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 20.🏋️ 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?
- 21.🏋️ A force of 160 N did 1600 J of work. How many metres did the object move?
- 22.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 6 m took 1560 J of work. What force was used, in newtons?
- 25.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 31.🏋️ 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?
- 32.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 33.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 36.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
Answer key
- 50
- 2
- 6
- 180
- 4
- 700
- 20
- 1800
- 5
- 4
- 2
- 50
- 410
- no, work stays the same
- load ÷ effort
- less effort
- 100
- 370
- through a distance
- 90
- 10
- 490
- 4
- 260
- 240
- 5
- 140
- 350
- 600
- 7
- 680
- 5
- 120
- 8
- 320
- 1700
- 4
- 2
- 2
- 330
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