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 6 m took 300 J of work. What force was used, in newtons?
- 2.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 4.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 6.🏋️ 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
- 7.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ 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)
- 12.🏋️ A force of 260 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 600 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 9 m took 4140 J of work. What force was used, in newtons?
- 19.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 280 N did 840 J of work. How many metres did the object move?
- 25.🏋️ 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)
- 26.🏋️ A 16 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.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 30.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 38.🏋️ A force of 450 N did 450 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 50
- joule (J)
- less effort
- 570
- through a distance
- no, work stays the same
- 5
- 3
- 6
- 50
- 750
- 780
- 150
- 6
- 600
- 4
- 70
- 460
- 760
- 6
- 240
- 750
- 550
- 3
- 100
- 320
- 500
- 450
- 200
- 340
- 430
- 5
- 10
- 6
- 8
- 300
- 410
- 1
- 950
- 950
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