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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 2.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 180 N did 1080 J of work. How many metres did the object move?
- 4.🏋️ A force of 400 N did 3200 J of work. How many metres did the object move?
- 5.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 7.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 11.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A 13 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 400 N did 2000 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 17.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 18.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 19.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 20.🏋️ A 1 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 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 25.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 420 N did 840 J of work. How many metres did the object move?
- 28.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 29.🏋️ A force of 230 N did 1380 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ 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)
- 35.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 320 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ 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?
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- 840
- 6
- 8
- 600
- 60
- 450
- 810
- 180
- no, work stays the same
- 100
- 60
- 650
- 5
- 6
- through a distance
- 280
- less effort
- 3
- 50
- 3
- 1040
- 3
- 5
- 1
- 750
- 2
- load ÷ effort
- 6
- 200
- 920
- 330
- 360
- 50
- 660
- 900
- 4500
- 320
- 160
- 500
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