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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 2.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 5.🏋️ 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?
- 6.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 8.🏋️ A force of 170 N did 680 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 370 N did 2220 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 16.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 19.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 20.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ 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)
- 22.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 23.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 24.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 25.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 29.🏋️ A force of 260 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 490 N did 3920 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- load ÷ effort
- 500
- 720
- 100
- 750
- 6
- 360
- 4
- 300
- 2
- 6
- 550
- 4
- 9
- no, work stays the same
- 6
- 1080
- 3
- less effort
- 100
- 1000
- 3
- joule (J)
- 190
- 6
- 700
- 3
- 170
- 1820
- 150
- 8
- 170
- 900
- 8
- 6
- 6
- 240
- 20
- 120
- 40
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