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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 2.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 3.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 5.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 6.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 19 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.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 130 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 14.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 16.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 18.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 19.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 20.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 22.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 23.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 24.🏋️ A force of 500 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 4 m took 320 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 32.🏋️ A force of 290 N did 1450 J of work. How many metres did the object move?
- 33.🏋️ A force of 20 N did 80 J of work. How many metres did the object move?
- 34.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 36.🏋️ Pushing a crate 7 m took 2170 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 38.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 40.🏋️ 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)
Answer key
- load ÷ effort
- 2
- 3
- 3
- 4
- 220
- 4
- 800
- 350
- 950
- 400
- 650
- joule (J)
- 8
- 380
- 1
- through a distance
- 8
- 8
- 180
- 240
- 8
- 8
- 1000
- 950
- 130
- 180
- 980
- 2
- 80
- 310
- 5
- 4
- 3430
- no, work stays the same
- 310
- 260
- 80
- 6
- 500
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