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 80 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 310 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 4.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 4 m took 40 J of work. What force was used, in newtons?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 7.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 7 m took 1470 J of work. What force was used, in newtons?
- 17.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 19.🏋️ 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?
- 20.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 26.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 28.🏋️ 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)
- 29.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 30.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 31.🏋️ 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?
- 32.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 38.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 60 N did 240 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
Answer key
- 160
- 3100
- joule (J)
- 1
- 10
- no, work stays the same
- 600
- 3360
- 3
- 850
- less effort
- 300
- 550
- 180
- 9
- 210
- 4
- 240
- 220
- 380
- 4
- 230
- 5
- 3500
- 100
- 680
- 3
- 150
- through a distance
- 290
- 510
- 2
- 180
- 210
- 350
- 500
- load ÷ effort
- 360
- 4
- 5
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