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 force of 130 N did 1040 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 7 m took 3220 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 10.🏋️ Pushing a crate 2 m took 400 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 40 N did 400 J of work. How many metres did the object move?
- 16.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 260 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 430 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 24.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 27.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 28.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ 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
- 31.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 32.🏋️ An 11 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 6 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 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 39.🏋️ 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)
- 40.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 8
- 460
- 3
- 2000
- 400
- 8
- 140
- 5
- load ÷ effort
- 200
- 4
- 8
- 4
- 220
- 10
- 70
- 5
- 6
- 4
- 1300
- 1720
- 200
- 7
- 2100
- 540
- joule (J)
- 3
- less effort
- 300
- no, work stays the same
- through a distance
- 550
- 180
- 1000
- 2380
- 300
- 3690
- 490
- 650
- 330
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