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 2 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 2 m took 920 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 6.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ 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?
- 8.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 15.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 17.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 270 N did 540 J of work. How many metres did the object move?
- 21.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 22.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 23.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 24.🏋️ 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?
- 25.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 60 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 27.🏋️ 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?
- 28.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 29.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 32.🏋️ 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)
- 33.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 340 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 38.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
Answer key
- 20
- 460
- 3
- 900
- 3
- 30
- 110
- 700
- 200
- 2000
- 2
- 50
- 5
- 230
- 620
- less effort
- 100
- 1760
- 2340
- 2
- 6
- through a distance
- no, work stays the same
- 40
- 180
- 360
- 120
- 2
- 510
- 700
- 3
- 800
- 1100
- 1360
- 650
- 720
- load ÷ effort
- 6
- 250
- 4
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