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.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 2.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 4.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 330 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 12.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 13.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 7 m took 1890 J of work. What force was used, in newtons?
- 16.🏋️ A force of 120 N did 600 J of work. How many metres did the object move?
- 17.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 19.🏋️ 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?
- 20.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 13 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.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 23.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 24.🏋️ A force of 40 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 26.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 28.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 32.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 33.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 280 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 2
- less effort
- 360
- 150
- 280
- 700
- 2970
- 8
- 350
- 5
- load ÷ effort
- 2
- 180
- 270
- 5
- 4700
- 5
- 950
- 200
- 130
- 450
- joule (J)
- 400
- 10
- 180
- 370
- 1160
- 1
- 950
- 3
- 7
- 4100
- 280
- 120
- 1200
- 750
- 320
- 6
- 3
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