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 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
- 4.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 5.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 6.🏋️ 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)
- 7.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 9.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 12.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 500 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 15.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 16.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 80 N did 80 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 19.🏋️ A force of 130 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 21.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 24.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 25.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 26.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 27.🏋️ A force of 150 N did 300 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 250 N did 2250 J of work. How many metres did the object move?
- 35.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 1 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.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 40.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
Answer key
- 350
- 140
- 340
- 4
- 2
- 900
- 700
- less effort
- 430
- 80
- load ÷ effort
- 300
- 4500
- no, work stays the same
- 500
- 360
- 1
- 140
- 650
- 1
- 1440
- 5
- 3
- joule (J)
- 440
- 3
- 2
- 150
- 280
- 2
- 550
- 9
- 950
- 9
- 160
- 160
- 6
- 50
- 430
- 1
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