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.
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- 1.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 2.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 3.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 6.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 8.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 11.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 14.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ 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?
- 22.🏋️ 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)
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 26.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 28.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 29.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 31.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 310 N did 1240 J of work. How many metres did the object move?
- 33.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 36.🏋️ 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?
- 37.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- load ÷ effort
- 1
- 4
- joule (J)
- 1
- 490
- 2450
- 4
- through a distance
- 30
- 2
- 10
- 1300
- 30
- 150
- 550
- 4800
- 2
- 900
- 190
- 1000
- 200
- 2030
- 50
- 4200
- 2
- 1
- 8
- 4
- 340
- 4
- 70
- 2720
- 6
- 90
- 700
- 700
- 450
- 380
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