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 longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 2.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ 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?
- 4.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 6.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 10.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 14.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 16.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 20.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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?
- 26.🏋️ 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?
- 27.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 28.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 30.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 380 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 60 N did 360 J of work. How many metres did the object move?
- 38.🏋️ A force of 20 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ 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)
- 40.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- 1000
- 30
- 850
- 220
- 80
- 2
- 100
- load ÷ effort
- 650
- 3
- 1360
- 250
- 1800
- joule (J)
- 450
- 450
- 540
- through a distance
- 290
- 100
- 1400
- 360
- 1000
- 40
- 220
- no, work stays the same
- 2160
- 390
- 150
- 2
- 100
- 550
- 2310
- 900
- 3800
- 6
- 120
- 700
- 2
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