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 280 N did 280 J of work. How many metres did the object move?
- 2.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 4 m took 1920 J of work. What force was used, in newtons?
- 6.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 12.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 13.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 15.🏋️ A force of 210 N did 420 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 20.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 21.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 22.🏋️ A 3 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 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 29.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 4 m took 1080 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
- 33.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 34.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 4 m took 840 J of work. What force was used, in newtons?
- 36.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 38.🏋️ A 20 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.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 40.🏋️ A force of 350 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 1
- 330
- 90
- 4
- 480
- 150
- 4600
- 100
- 240
- 600
- joule (J)
- less effort
- 350
- through a distance
- 2
- 5
- 180
- 50
- 210
- no, work stays the same
- 3
- 60
- 40
- 2730
- 650
- 4
- 3
- 350
- 960
- 270
- 60
- 40
- 4
- 1170
- 210
- 1680
- 180
- 600
- 100
- 1750
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