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 smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ 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?
- 3.🏋️ A force of 190 N did 1900 J of work. How many metres did the object move?
- 4.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 5.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 8.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ 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?
- 11.🏋️ Pushing a crate 6 m took 1140 J of work. What force was used, in newtons?
- 12.🏋️ A 15 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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 14.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 18.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 19.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 23.🏋️ 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
- 24.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 25.🏋️ A force of 450 N did 4500 J of work. How many metres did the object move?
- 26.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
- 27.🏋️ 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)
- 28.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ 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?
- 31.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 170 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 39.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
Answer key
- 400
- 150
- 10
- joule (J)
- 400
- 480
- through a distance
- 4
- 800
- 220
- 190
- 450
- load ÷ effort
- 30
- 1240
- 300
- 3
- less effort
- 4
- 50
- 10
- 110
- no, work stays the same
- 180
- 10
- 10
- 100
- 2
- 380
- 180
- 10
- 700
- 150
- 2
- 240
- 1530
- 1640
- 8
- 1560
- 220
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