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 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 4.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 5.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 6.🏋️ A 14 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.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 8.🏋️ 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?
- 9.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 11.🏋️ 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?
- 12.🏋️ 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?
- 13.🏋️ A force of 480 N did 2400 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ 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?
- 18.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 23.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 160 N did 640 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 27.🏋️ 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?
- 28.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 29.🏋️ A force of 130 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 31.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 240 N did 1200 J of work. How many metres did the object move?
- 34.🏋️ An 8 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 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
- 37.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 40.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 420
- 1890
- through a distance
- 400
- 1980
- 560
- 80
- 400
- 170
- 4
- 100
- 190
- 5
- 300
- 320
- 280
- 150
- 3690
- 330
- load ÷ effort
- 800
- 1
- 5
- 100
- 4
- 6
- 60
- 180
- 910
- joule (J)
- 60
- 650
- 5
- 80
- 960
- 220
- less effort
- 350
- no, work stays the same
- 410
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