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 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?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 3.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 4.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 6.🏋️ 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?
- 7.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 11.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 13.🏋️ A force of 200 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 19.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 20.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 22.🏋️ A force of 310 N did 2790 J of work. How many metres did the object move?
- 23.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 24.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
Answer key
- 150
- less effort
- 30
- 1
- 4
- 400
- 3
- 490
- 7
- through a distance
- 2
- joule (J)
- 6
- 900
- 800
- load ÷ effort
- 600
- no, work stays the same
- 7
- 4
- 190
- 9
- 8
- 4
- 3
- 950
- 1840
- 7
- 5
- 450
- 20
- 90
- 440
- 4700
- 850
- 500
- 700
- 130
- 100
- 100
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