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.
NameDateTime takenScore ___ / 40
- 1.🏋️ 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?
- 2.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 8.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 12.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 15.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ 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)
- 17.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 22.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 28.🏋️ A force of 430 N did 2580 J of work. How many metres did the object move?
- 29.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 33.🏋️ A force of 410 N did 3690 J of work. How many metres did the object move?
- 34.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 38.🏋️ A force of 400 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 40.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
Answer key
- 30
- 3
- 760
- 1440
- 70
- 540
- 10
- 8
- 490
- 100
- 20
- 1960
- through a distance
- joule (J)
- 2880
- 100
- 1900
- 200
- 9
- 5
- no, work stays the same
- 2
- 4
- 140
- 40
- 100
- 490
- 6
- 240
- 3
- 1000
- 9
- 9
- 3000
- 120
- 380
- 1
- 1600
- 1
- 3
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