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 260 N did 2600 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 3.🏋️ A force of 180 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 6.🏋️ Pushing a crate 2 m took 760 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 11.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ 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?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 14.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 15.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 420 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 300 N did 2100 J of work. How many metres did the object move?
- 23.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 25.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 27.🏋️ A force of 320 N did 3200 J of work. How many metres did the object move?
- 28.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 30.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 31.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 36.🏋️ A force of 260 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ 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?
- 38.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 1 m took 170 J of work. What force was used, in newtons?
Answer key
- 10
- 50
- 1620
- 2100
- no, work stays the same
- 380
- 4
- 4
- less effort
- joule (J)
- 380
- 360
- through a distance
- 3
- 1500
- 300
- 100
- 1600
- 880
- 50
- 2100
- 7
- 720
- 210
- 80
- 360
- 10
- 120
- 4
- load ÷ effort
- 440
- 1000
- 90
- 170
- 50
- 1300
- 120
- 510
- 50
- 170
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