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.🏋️ 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
- 2.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 190 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 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.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 5 m took 1950 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 17.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 3 m took 1440 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 20.🏋️ A 10 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 longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 460 N did 460 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 26.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 320 N did 1280 J of work. How many metres did the object move?
- 28.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 130 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 220 N did 220 J of work. How many metres did the object move?
- 33.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 35.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 36.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- no, work stays the same
- 6
- 190
- 100
- 2030
- 2080
- 300
- 540
- 1710
- 450
- 550
- 900
- 180
- 390
- 550
- 8
- 180
- 480
- through a distance
- 200
- less effort
- 50
- 1
- 50
- 4
- 650
- 4
- 30
- 2
- 3
- 520
- 1
- 920
- joule (J)
- 460
- 130
- 3220
- 950
- 180
- 1440
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