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 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 80 N did 80 J of work. How many metres did the object move?
- 3.🏋️ 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?
- 4.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 550 N when you push with 110 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.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 400 N did 2400 J of work. How many metres did the object move?
- 13.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 14.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 18.🏋️ A force of 210 N did 1050 J of work. How many metres did the object move?
- 19.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 21.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 22.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 32.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 33.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 36.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 40.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
Answer key
- 800
- 1
- 260
- 150
- 2
- 2
- 960
- 600
- 5
- through a distance
- 650
- 6
- 4
- 5
- 410
- 650
- no, work stays the same
- 5
- 40
- joule (J)
- 1
- 160
- 320
- 3
- 240
- 450
- 200
- 60
- 250
- 370
- 110
- less effort
- 2
- 50
- 10
- 9
- 250
- 3
- load ÷ effort
- 1
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