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 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 160 N did 1440 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 5.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 8.🏋️ Pushing a crate 4 m took 920 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 10.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 12.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 240 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 19.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 220 N did 1980 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 60 N did 480 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ An 8 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 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 29.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 32.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 33.🏋️ 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?
- 34.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 36.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 37.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
Answer key
- 1000
- 9
- 700
- through a distance
- 5
- 2
- less effort
- 230
- 390
- 3
- load ÷ effort
- 4400
- 5
- 1890
- 100
- 3840
- 300
- no, work stays the same
- 6
- 9
- 2
- 4
- 8
- 2
- 540
- 160
- 60
- 4
- 1550
- 3
- 2
- 10
- 140
- 4
- 2
- 9
- 2960
- 2
- 220
- 220
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