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 a 100 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A 16 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 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)
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 9.🏋️ A force of 320 N did 640 J of work. How many metres did the object move?
- 10.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 11.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 12.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 14 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 machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 18.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 25.🏋️ 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?
- 26.🏋️ A force of 320 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 32.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 33.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 34.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 38.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
Answer key
- 50
- 480
- 850
- 500
- 720
- 3
- less effort
- load ÷ effort
- 2
- through a distance
- joule (J)
- 410
- 750
- 140
- 4
- 60
- 60
- 240
- 150
- 950
- 5
- 4
- 460
- no, work stays the same
- 150
- 320
- 380
- 5
- 950
- 9
- 280
- 1
- 3
- 490
- 30
- 2
- 2
- 160
- 3
- 2
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