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.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 2.🏋️ 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
- 3.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 4.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 5.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 10.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 12.🏋️ Pushing a crate 2 m took 520 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 15.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 17.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 19.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
- 21.🏋️ A force of 230 N did 1380 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 28.🏋️ 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?
- 29.🏋️ A force of 90 N did 810 J of work. How many metres did the object move?
- 30.🏋️ A force of 100 N did 900 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 36.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
Answer key
- joule (J)
- no, work stays the same
- 4
- load ÷ effort
- 210
- 1
- 2
- 500
- 180
- 500
- through a distance
- 260
- 5
- 6
- 300
- less effort
- 350
- 80
- 930
- 8
- 6
- 3
- 450
- 2
- 360
- 420
- 4
- 700
- 9
- 9
- 100
- 100
- 750
- 2560
- 410
- 630
- 1000
- 100
- 850
- 2
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