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 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 8 m took 3280 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 6.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 15.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 17.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 19.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 10 N did 50 J of work. How many metres did the object move?
- 28.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 1 m took 430 J of work. What force was used, in newtons?
- 30.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 31.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 34.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 37.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 39.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 40.🏋️ A force of 50 N did 200 J of work. How many metres did the object move?
Answer key
- 60
- 600
- 410
- 250
- 3
- 1040
- 810
- 770
- 450
- 90
- 420
- 2800
- 100
- through a distance
- 6
- less effort
- 3080
- 7
- 380
- 570
- 120
- 250
- 390
- 190
- 4
- 630
- 5
- 40
- 430
- joule (J)
- 170
- 5
- 8
- 550
- 700
- no, work stays the same
- 800
- 60
- load ÷ effort
- 4
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