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 longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 2.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 5.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 8.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 7 m took 1120 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 4 m took 1320 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 7 m took 1470 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 26.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 32.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ 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?
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 6 m took 2640 J of work. What force was used, in newtons?
- 36.🏋️ A force of 10 N did 50 J of work. How many metres did the object move?
- 37.🏋️ A force of 370 N did 740 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- 2310
- 1110
- 1
- 420
- load ÷ effort
- through a distance
- 1
- 6
- 3
- 6
- 160
- 20
- 50
- 9
- 80
- 400
- 330
- 210
- 360
- 460
- 900
- 750
- 6
- no, work stays the same
- 650
- 2
- 100
- 180
- 700
- 10
- 50
- 100
- 500
- 440
- 5
- 2
- 2
- 470
- 6
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