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 smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 3.🏋️ 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?
- 4.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 6.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 8.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 11.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 18.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ 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)
- 21.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 22.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 24.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 27.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 28.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 7 m took 3080 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 39.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 100
- through a distance
- 200
- 150
- 500
- 520
- less effort
- 70
- 3
- 340
- 7
- 650
- 6
- 6
- 60
- 300
- no, work stays the same
- 6
- 460
- 50
- joule (J)
- 100
- 1
- 400
- 2500
- 6
- 2
- 300
- 550
- 110
- 450
- 150
- 950
- 440
- 5
- 450
- 3
- 30
- 450
- 180
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