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 290 N did 580 J of work. How many metres did the object move?
- 2.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 4.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 10.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 17.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 19.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 20.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 25.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 35.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 36.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 38.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
Answer key
- 2
- 10
- 90
- 850
- 110
- 3
- 500
- 4
- through a distance
- 340
- 930
- 1290
- 800
- 950
- 160
- less effort
- 450
- 430
- 1
- 700
- 6
- 850
- 120
- no, work stays the same
- 10
- 800
- 1160
- 2000
- 550
- 5
- 260
- 300
- 2
- 420
- joule (J)
- 280
- 6
- 540
- 840
- 9
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