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 longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 2.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ 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?
- 8.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 13.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 16.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 17.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 19.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 220 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 25.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 380 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A 12 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.🏋️ 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?
- 30.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 31.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 32.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 1440
- 200
- 400
- 840
- 40
- 180
- 520
- 6
- 5
- 820
- load ÷ effort
- 900
- 560
- through a distance
- 380
- 1350
- no, work stays the same
- 220
- 6
- 5
- 1320
- 700
- 420
- 180
- 300
- 3040
- 120
- 390
- joule (J)
- 420
- 300
- 6
- 3
- 100
- 6
- 4
- 6
- 480
- 3200
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