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.
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- 1.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 2.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 3.🏋️ 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)
- 4.🏋️ 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
- 5.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 6.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 8.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 12.🏋️ 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?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 17.🏋️ A force of 30 N did 270 J of work. How many metres did the object move?
- 18.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 21.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 10 m took 1600 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 29.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 450 N did 450 J of work. How many metres did the object move?
- 31.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 36.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
Answer key
- 2
- 7
- 450
- no, work stays the same
- joule (J)
- 500
- through a distance
- 180
- 160
- 1240
- 7
- 280
- 200
- 120
- 950
- less effort
- 9
- 1320
- 180
- 2
- 30
- 4
- 3
- 500
- 160
- 900
- 1200
- 290
- 40
- 1
- 2
- 110
- 50
- 5
- 260
- 100
- 50
- 570
- 220
- 490
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