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 machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 4.🏋️ A force of 150 N did 1050 J of work. How many metres did the object move?
- 5.🏋️ A force of 220 N did 1980 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 8.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 10.🏋️ A 5 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 force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 16.🏋️ A force of 410 N did 3690 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 9 m took 90 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 20.🏋️ 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)
- 21.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 23.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 25.🏋️ 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?
- 26.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 16 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.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 37.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 38.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 39.🏋️ 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?
- 40.🏋️ 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)
Answer key
- 5
- 200
- through a distance
- 7
- 9
- 550
- no, work stays the same
- 9
- 3
- 250
- 1920
- 900
- 2
- 3
- 2
- 9
- 330
- 10
- 3
- 500
- 3840
- 6
- 360
- 80
- 20
- load ÷ effort
- 500
- 450
- 600
- 5
- 3
- 70
- 650
- 800
- 800
- 440
- less effort
- 2
- 300
- 700
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