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.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 260 N did 2340 J of work. How many metres did the object move?
- 4.🏋️ 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
- 5.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 250 N did 250 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 5 m took 1100 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 10.🏋️ A 17 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 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ 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?
- 13.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 16.🏋️ A force of 220 N did 660 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ 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?
- 20.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 24.🏋️ A force of 290 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ 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)
- 26.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 29.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 8 m took 2800 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 39.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
- 40.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
Answer key
- 310
- 150
- 9
- no, work stays the same
- 1200
- 1
- 220
- 350
- less effort
- 510
- 20
- 800
- through a distance
- 100
- 3
- 3
- 900
- 180
- 180
- 360
- 3
- 750
- joule (J)
- 2320
- 950
- 220
- 240
- 240
- 360
- 180
- 350
- 350
- 180
- 400
- 2
- 2
- 10
- 340
- 4
- 2
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