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 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 3.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 7.🏋️ 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?
- 8.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 12.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 16.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 50 N did 200 J of work. How many metres did the object move?
- 19.🏋️ A force of 230 N did 230 J of work. How many metres did the object move?
- 20.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 21.🏋️ A force of 380 N did 2660 J of work. How many metres did the object move?
- 22.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 26.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 29.🏋️ A force of 290 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ 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?
- 31.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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?
- 35.🏋️ An 11 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 500 N did 4500 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 4 m took 1800 J of work. What force was used, in newtons?
- 39.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 350
- through a distance
- 840
- 4
- 500
- 1
- 200
- 3600
- 850
- 1350
- less effort
- 390
- 500
- load ÷ effort
- no, work stays the same
- 50
- 2960
- 4
- 1
- joule (J)
- 7
- 100
- 360
- 600
- 3
- 9
- 170
- 90
- 1740
- 120
- 6
- 3
- 6
- 400
- 330
- 9
- 2
- 450
- 1040
- 4
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