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.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 4.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 6.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 7.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 14.🏋️ 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?
- 15.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 20.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 21.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ 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
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 24.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 30.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 33.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 34.🏋️ A force of 380 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
Answer key
- 300
- 9
- load ÷ effort
- 360
- 3
- joule (J)
- 820
- 180
- 70
- 600
- 1
- 650
- less effort
- 540
- 3
- 210
- 300
- 6
- 430
- 10
- 1290
- no, work stays the same
- through a distance
- 5
- 1
- 6
- 6
- 2
- 4
- 2
- 5
- 500
- 7
- 3040
- 2000
- 950
- 4
- 150
- 5
- 270
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