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.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 3.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 5.🏋️ 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)
- 6.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 8.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
- 10.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 12.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 13.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 15.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 16.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 19.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 7 m took 3360 J of work. What force was used, in newtons?
- 31.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 34.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 190 N did 1140 J of work. How many metres did the object move?
- 39.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
- 40.🏋️ A force of 210 N did 1890 J of work. How many metres did the object move?
Answer key
- 180
- no, work stays the same
- 6
- 2
- 950
- 4
- load ÷ effort
- 3
- 170
- 1600
- 1
- joule (J)
- 3
- less effort
- 5
- 400
- 140
- 10
- 2880
- 3
- 400
- 900
- 60
- 400
- 6
- 150
- 2900
- 220
- 370
- 480
- 400
- 3240
- 30
- 100
- 130
- 100
- 240
- 6
- 3
- 9
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