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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 2.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 3.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 8.🏋️ 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?
- 9.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 300 N did 2100 J of work. How many metres did the object move?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 14.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 50 N did 450 J of work. How many metres did the object move?
- 16.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 17.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 18.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 20.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 23.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 28.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 5 m took 1950 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 4 m took 1880 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 280 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 39.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 40.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- no, work stays the same
- 8
- 1900
- 3
- 260
- 950
- load ÷ effort
- 400
- 4
- 80
- 5
- 7
- through a distance
- 4
- 9
- less effort
- 4
- 70
- 170
- 770
- 240
- 150
- 200
- 6
- 950
- 540
- 70
- 3
- 390
- 5
- 380
- 470
- 6
- 1400
- 50
- 10
- 6
- 9
- 2
- 260
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