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 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 4.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 6.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 15.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 18.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 19.🏋️ A 2 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.🏋️ Pushing a crate 6 m took 2820 J of work. What force was used, in newtons?
- 21.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 8 m took 3520 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 25.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 26.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 4 m took 320 J of work. What force was used, in newtons?
- 28.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 34.🏋️ 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)
- 35.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ An 11 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
- 700
- 450
- no, work stays the same
- 310
- load ÷ effort
- 420
- 2
- 3
- 20
- 6
- 6
- 330
- 5
- through a distance
- 1800
- 5
- 90
- joule (J)
- 40
- 470
- 20
- 520
- 440
- 470
- less effort
- 5
- 80
- 3150
- 2
- 10
- 800
- 7
- 340
- 850
- 520
- 400
- 4
- 340
- 810
- 220
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