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.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 5.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 7.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 9.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ 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?
- 11.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 6 m took 2700 J of work. What force was used, in newtons?
- 14.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 17.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 22.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 25.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 33.🏋️ 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?
- 34.🏋️ 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?
- 35.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 37.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 38.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 40.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 2
- load ÷ effort
- 50
- joule (J)
- 750
- 380
- 60
- 10
- 800
- 30
- 840
- 30
- 450
- less effort
- 350
- no, work stays the same
- 1960
- 750
- 2
- 1000
- 480
- 1480
- 1190
- 1
- 240
- 700
- 60
- 2
- 2030
- 1380
- 600
- 3
- 280
- 50
- 3
- 6
- through a distance
- 200
- 1
- 2940
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