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 500 N did 4500 J of work. How many metres did the object move?
- 2.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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)
- 8.🏋️ 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?
- 9.🏋️ 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?
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ 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?
- 12.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 16.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 19.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 22.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ 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?
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 26.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 8 m took 3440 J of work. What force was used, in newtons?
- 34.🏋️ A force of 320 N did 320 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 6 m took 2100 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ 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)
- 40.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
Answer key
- 9
- 210
- 180
- 700
- 5
- 3
- 650
- 340
- 300
- 350
- 1000
- 2
- 2
- 50
- through a distance
- joule (J)
- 850
- 60
- 540
- 260
- less effort
- 2
- 150
- 190
- no, work stays the same
- 2
- 620
- 200
- 9
- 5
- 6
- 340
- 430
- 1
- 350
- 100
- 240
- 840
- 550
- 9
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