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 force of 310 N did 3100 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 4.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 9.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 12.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 14.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 15.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 17.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 18.🏋️ A 12 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.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 21.🏋️ A 6 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 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?
- 23.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
- 24.🏋️ A force of 490 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 27.🏋️ A force of 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 38.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 10
- 850
- 110
- 1170
- 190
- 650
- 250
- no, work stays the same
- 150
- 200
- load ÷ effort
- 130
- through a distance
- joule (J)
- 2
- 10
- less effort
- 360
- 2
- 60
- 60
- 340
- 8
- 2940
- 650
- 10
- 1190
- 4
- 210
- 850
- 1000
- 5
- 3
- 600
- 2030
- 4
- 10
- 750
- 420
- 2
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