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.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 4.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 270 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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)
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 12.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 14.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 17.🏋️ A force of 200 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 200 N did 2000 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 24.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 26.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 30.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 31.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ 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?
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
Answer key
- 500
- 50
- no, work stays the same
- 60
- 2160
- 60
- joule (J)
- 750
- 1000
- less effort
- load ÷ effort
- 750
- 10
- 3420
- 5
- 290
- 1000
- 10
- 900
- 90
- 4
- 600
- through a distance
- 630
- 290
- 300
- 4600
- 3
- 110
- 2
- 750
- 3
- 1040
- 60
- 200
- 6
- 950
- 2400
- 850
- 3
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