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 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 420 N did 2940 J of work. How many metres did the object move?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 4.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 8.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 10.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 11.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 13.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 18.🏋️ A force of 400 N did 2000 J of work. How many metres did the object move?
- 19.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 23.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 24.🏋️ A force of 30 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 28.🏋️ A force of 60 N did 240 J of work. How many metres did the object move?
- 29.🏋️ An 8 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 force of 390 N did 3900 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 34.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
- 35.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 37.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 250
- 7
- through a distance
- 630
- 360
- 250
- 2
- 7
- 2
- no, work stays the same
- 2
- joule (J)
- 370
- 1000
- 460
- 250
- 30
- 5
- 180
- 1
- 2
- 9
- 6
- 180
- 990
- 100
- less effort
- 4
- 160
- 10
- 150
- 180
- 180
- 8
- 2480
- load ÷ effort
- 190
- 550
- 280
- 1000
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