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 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 3.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 4.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 5.🏋️ A force of 320 N did 3200 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 7.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 6 m took 1380 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 10.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 14.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 240 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 21.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 24.🏋️ 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?
- 25.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 32.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ 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)
- 34.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 39.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
Answer key
- 350
- through a distance
- 490
- less effort
- 10
- 30
- 40
- 230
- joule (J)
- 3
- 500
- 6
- no, work stays the same
- 260
- 100
- 1680
- 360
- 750
- 1890
- 4
- 20
- 540
- 3
- 360
- 40
- 6
- 1560
- 3780
- 6
- 60
- 10
- 900
- 500
- 5
- 250
- 4
- 4
- 10
- 4
- 400
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